Answer:
Polygons - Hexagons. So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).
Step-by-step explanation:
Search google
Final answer:
Two regular hexagons are congruent when they have equal side lengths, making them identical in shape and size. The definition of a regular hexagon as having equal sides and angles, paired with the criteria for congruence, confirms this. However, without equal side lengths, hexagons may only be similar, not congruent.
Explanation:
The question of whether two regular hexagons are always congruent comes down to understanding the definition of both a regular hexagon and congruence in geometry. A regular hexagon is a six-sided polygon where all sides and angles are equal. Congruent figures, on the other hand, are those that are identical in shape and size, meaning their corresponding sides and angles are equal. Thus, two regular hexagons that have the same lengths of sides are indeed congruent because they will have identical shapes and sizes, fulfilling the criteria for congruence.
However, it's important to note that while all regular hexagons will be similar (having the same shape but not necessarily the same size), they are only congruent if their side lengths are equal. This distinction is key in understanding the conditions under which two regular hexagons can be considered congruent. Without the specification of size, two hexagons can still be similar but not congruent.
In summary, two regular hexagons are congruent when they have the same side lengths, hence matching in both shape and size. This specific condition must be met for congruence to hold between any two geometric figures, including regular hexagons.
What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept form
O y=-3x-5
O y=-3x+5
Oy - 3x-5
O y=3x+5
Answer:
y = -3x + 5
Step-by-step explanation:
Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).
The slope of the line through points (2, -1) and (5,-10) is -3. With y-intercept +5, the line's equation in slope-intercept form is y = -3x + 5.
Explanation:The subject of your question is in the field of Mathematics, specifically algebra.
You are looking for the equation of the line in slope-intercept form, which is y = mx + b where m is the slope and b is the y -intercept. We first calculate the slope using the formula (y2 - y1) / (x2 - x1). Plugging in the values we get, m = (-10 - (-1)) / (5 - 2) = -9 / 3 = -3. Thus, m = -3. Then, to find the y-intercept, we use the point-slope form of a line equation y - y1 = m(x - x1), and plug in one of the points (2, -1) and the slope value, and then solve for b. The equation in slope-intercept form will be y = -3x + 5.
So the answer to your question is y = -3x + 5.
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rewrite the equation by completing the square x^2+x-72=0
Answer:
(x + 1/2) ² = 289/4
Step-by-step explanation: I answered this correctly
The solutions to t[tex]x^2 + x = 72[/tex]he equation [tex]x^2 + x - 72[/tex] = 0 are x = 8 and x = -9.
To rewrite the quadratic equation[tex]x^2 + x - 72[/tex] = 0 by completing the square, we follow these steps:
Step 1: Move the constant term to the other side of the equation:
[tex]x^2 + x = 72[/tex]
Step 2: Take half of the coefficient of the x-term (which is 1) and square it. Add this value to both sides of the equation:
[tex]x^2 + x + (1/2)^2 = 72 + (1/2)^2\\x^2 + x + 1/4 = 72 + 1/4[/tex]
Step 3: Rewrite the left side as a perfect square:
[tex](x + 1/2)^2 = 289/4[/tex]
Step 4: Take the square root of both sides:
x + 1/2 = ± √(289/4)
Step 5: Solve for x:
x + 1/2 = ± 17/2
x = -1/2 ± 17/2
x = (-1 + 17)/2 or x = (-1 - 17)/2
x = 16/2 or x = -18/2
x = 8 or x = -9
The solutions to the equation [tex]x^2 + x - 72[/tex] = 0 are x = 8 and x = -9.
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new car costs $25,000 to build in 2020. The company’s analyst estimates the cost to build will rise 6% every year for the next 10 years. How much will the car cost in 2023?
Answer:
$27,318.18
Step-by-step explanation:
The build cost is multiplied by 1.03 each year. After 3 years, it will be multiplied by 1.03^3, so will be ...
$25,000×1.03^3 ≈ $27,318.18
The chickens at Colonel Thompson’s Ranch have a mean weight of 1850 g, with a standard deviation of 150 g. The weights of the chickens are closely approximated by a normal curve. Find the percent of all chickens having weights in the following ranges. 33. More than 1700 g 34. Less than 1950 g 35. Between 1750 and 1900 g 36. Between 1600 and 2000 g 37. More than 2100 g or less than 1550 g 38. Find the smallest and largest weights for the middle 95% of the chickens.
Answer:
Kindly go through the explanation for all the answers required
Step-by-step explanation:
Values gotten from the question are: mean= 1850
standard deviation= 150
Z= \frac{x- \mu }{\sigma }
33) X= 1700
P(X>1700)=P( \frac{x- \mu }{\sigma }>\frac{1700-1850}{150})=P(Z>-1)
P(X>1700)=P(Z>-1)=1- P(Z\leq -1)=0.8413
34) X= 1950
P(X<1950)=P( \frac{x- \mu }{\sigma }<\frac{1950-1850}{150})=P(Z<0.6667)=0.7475
35) X1= 1750 and X2= 1900
P(1750\leq X\leq 1900)=P( \frac{1750-1850}{150}\leq \frac{x- \mu }{\sigma }\leq \frac{1900-1850}{150})=P(-0.6667\leq Z\leq 0.333)
P(1750\leq X\leq 1900)=P(-0.6667\leq Z\leq 0.333)=0.3781
36) X1= 1600 and X2= 2000
P(1600\leq X\leq 2000)=P( \frac{1600-1850}{150}\leq \frac{x- \mu }{\sigma }\leq \frac{2000-1850}{150})=P(-1.6667\leq Z\leq 1)
P(1600\leq X\leq 2000)=P(-1.6667\leq Z\leq 1)=0.7936
37) X1= 1550 and X2= 2100
P(1550> X> 2100)=P( \frac{1550-1850}{150}> \frac{x- \mu }{\sigma }> \frac{2100-1850}{150})
P(-2>Z>1.6667)=P(Z\leq -2)+(1-P(Z<1.6667))=0.02275+(1-0.9522)=0.0705
38) 95% Confidence interval:Critical value: Z(0.05/2)= 1.96
CI: \mu \pm Z*\sigma =>1850\pm 1.96*150
CI: 1850\pm 294=>(1850-294,1850+294)=>(1556,2144)
The smallest weight= 1556
The largest weight= 2144
What is the value of x
Answer: The answer is b
Step-by-step explanation:
The answer is b due to the exterior angle theorem which is 1 exterior angles = 2 interior angles on the opposites sides
so the eqaution is
105= 67+x
and x + 38 which is b
Answer:
C. 33
Step-by-step explanation:
use a protractor in the future
Which of the following is NOT a perfect square? Question 3 options: 36 25 49 81 35 144 100
Answer:
35
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
grammium-the metal billings used to make the statuettes-is a mixture of aluminum and zinc. each atom of aluminum has 13 protons. that's 3 more than 1/3 the number, z, of protons in an atom of zinc. write and solve an equation to find z
A local movie theater is increasing ticket pricesby 10%. If a student ticket originally cost $8.50,how much will the theater be adding to the priceof the ticket?
A. $0.10
B. $0.85
C. $1.50
D. $9.35
Answer:
B
Step-by-step explanation:
Because since they are increasing $8.50 by 10% you got to divide by 10 to get the answer. Because 10% is equal as multiplying .10 or dividing by 10. So when you divide by 10 you get 0.85. So B is the answer to the question.
what is the median for 460,470,480,480,480,490,490,490,490,490,500,500,510
Answer:
490
Step-by-step explanation:
The Median is the middle number in the set. In this case, it is 490.
~
Answer:
490
Step-by-step explanation:
the median is simply the middle number, and if there are two, you would add them together then divide whatever the total of those two numbers are by two, like this (4+5)/2
How is the graph of y = (x minus 1) squared minus 3 transformed to produce the graph of y = one-half (x + 4) squared?
The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.
The graph is stretched vertically by a factor of One-half, translated left 5 units, and translated up 3 units.
The graph is translated left 5 units, compressed horizontally by a factor of One-half, and translated down 3 units.
The graph is stretched horizontally by a factor of One-half, translated left 5 units, and translated down 3 units.
Answer:
A) The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.
Step-by-step explanation:
Edg 2020
It follows from the task content that the transformation required to produce the graph is; The graph is translated left 5 units, compressed vertically by a factor of One-half, and translated up 3 units.
What set of transformations are required to produce the graph?It follows from the task content that initial equation is; y = (x-1)² - 3 while the transformation produced; y = (1/2)(x+4)².
It therefore follows that upon translation leftwards by 5 units, the (x-1) term becomes (x+4).
And finally, upon compression vertically by a factor of One-half, and translation upwards 3 units. The transformed form of the graph is obtained.
On this note, the required transformations are as indicated above.
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What is the greatest prime factor of [4²]² -1?
Using the formula
[tex]a^2-b^2=(a+b)(a-b)[/tex]
We can write
[tex](4^2)^2-1 = 16^2-1 = (16+1)(16-1)=17\cdot 15[/tex]
Since 17 is prime and the factors of 15 are 3 and 5, the three prime factors of this number are 3, 5 and 17.
The required prime factors of the given expressions are given as 3, 5, and 17.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
Here,
Given expression,
=[4²]² -1
= 16² - 1
Since (a² - b²) = (a + b)(a - b)
= (16 + 1)(16 - 1)
= 17 × 15
= 17 × 3 × 5
Thus, the required prime factors of the given expressions are given as 3, 5, and 17.
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A basketball has a diameter of 9.5 inches what is the volume of the basketball using 3.14 for pi.
Answer:
448.69 in^3
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
We want to use diameter, so we can substitute r = d/2 into the formula:
V = (4/3)π(d/2)^3 = (4/(3·8))πd^3
V = (π/6)d^3
For the given numbers, ...
V = (3.14/6)(9.5^3) ≈ 448.69 in^3 . . . . volume of a basketball
Which expression has the same value as the one below?
10 +(-3)
A study was conducted to investigate the effectiveness of hypnotism in reducing pain. An SRS of 8 subjects was randomly selected, and the pain level was recorded for each one, with a lower score indicating less pain. After the subjects were hypnotized, their pain level was recorded again. The researchers calculated the difference in the pain level for each subject, calculated as After – Before. Assume the differences follow an approximately normal distribution, with the following sample statistics: Is pain, on average, lower after hypnotism? Test at a 1% significance level. a. The assumptions for this test are not met because the sample size is too small. b. Yes, the p-value is less than 0.01, so there is sufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism. c. Yes, the p-value is greater than 0.01, so there is sufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism. d. No, the p-value is less than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism. e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism. 3 points Save Answer
Answer:
e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
Step-by-step explanation:
Hello!
The study's objective is to test if hypnotism reduces pain.
A sample of n=8 subjects was taken and the pain level was recorded in each subject before and after being hypnotized.
The variable of interest was determined by calculating the difference of pain level after - before hypnosis. This is a paired sample test and the variable can be determined as:
Xd: Difference between pain level felt after hypnosis and pain level felt before hypnosis of a subject.
The sample average and standard deviation obtained were:
Xd= -3
Sd= 3
And the variable is presumed to be approximately normal.
An approximately normal distribution is enough to conduct a paired sample t-test.
If the claim is that hypnosis reduces pain, then the average pain level after hypnosis should be less than the average pain level before hypnosis, then the average difference is expected to be negative, symbolically: μd < 0
The test will be one-tailed and so will be the p-value.
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
So first step is to calculate the value of the statistic under the null hypothesis and then you can calculate the p-value.
H₀: μd ≥ 0
H₁: μd < 0
[tex]t_{H_0}= \frac{X_d-Mu_{d}}{\frac{S_d}{n} }= \frac{-0-0}{\frac{3}{\sqrt{8} } } = -2.828= -2.83[/tex]
The DF of the t-test are n-1= 7
Then you can calculate the p-value as:
P(t₇≤-2.83)= 0.0127
The level of the test is α: 0.01
The decision rule is:
If p-value ≤ α, reject the null hypothesis.
If p-value > α, do not reject the null hypothesis.
The p-value > α the decision is to not reject the null hypothesis.
Correct option: e. No, the p-value is greater than 0.01, so there is insufficient evidence at the 0.01 level to conclude that pain levels are lower after hypnotism.
I hope this helps!
If y varies directly as x and y = 15 when x = 5,what is the value of y when x = 6? a. 5 b. 36 c. 9 d. 18
never mind its D
The scores of individual students on the American College Testing (ACT), college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students
Answer:
The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students is 1.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
[tex]\sigma = 6, n = 36[/tex]
Then, by the Central Limit Theorem:
[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
[tex]s = \frac{6}{\sqrt{36}}[/tex]
[tex]s = 1[/tex]
The standard deviation of the sampling distribution of the sample mean score for a random sample of 36 students is 1.
What is the area of the parallelograms?what is the square unit ?
Answer:
35 units^2.
Step-by-step explanation:
Area = base * altitude
= 7 * 5.
Answer:
35 sq. un.
Step-by-step explanation:
The Intuition for why the area of a parallelogram is A=bh (area = base x height)
The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.
Have a great day!
Which of the following statements about ANOVA completely randomized design is correct? a. The ANOVA test assumes that the sampled populations are normally distributed. b. The ANOVA test assumes that the sampled populations have a common variances . c. The ANOVA test assumes that the samples are randomly and independently selected from their respective populations. d. All of these. e. None of these.
Answer:
d. All of these.
Step-by-step explanation:
Analysis of variance (ANOVA) is used in statistics to determine the difference between the mean of two groups. A completely randomized design implies that samples are randomly assigned to either a treatment group or a placebo group during the experiment. For example, if 40 people are selected to test the effect of an analgesic, four groups could be designed- Groups A, B, C, and D. Groups A, B, and C, can be given different amounts of the drug and Group D, given a placebo. This is an example of a randomized design because the participants were randomly assigned to the groups.
For an ANOVA test to exhibit complete randomized design, we assume that the sample populations are normally distributed, and also have the same variances. We also assume in this design, that samples are randomly and independently selected from their respective populations.
A certain vehicle emission inspection station advertises that the wait time for customers is less than 8 minutes. A local resident wants to test this claim and collects a random sample of 64 wait times for customers at the testing station. She finds that the sample mean is 7.43 minutes, with a standard deviation of 3.6 minutes. Does the sample evidence support the inspection station's claim? Use the alphaequals0.005 level of significance to test the advertised claim that the wait time is less than 8 minutes.
Final answer:
The sample evidence does not support the inspection station's claim that the wait time is less than 8 minutes.
Explanation:
To test the claim that the wait time at the vehicle emission inspection station is less than 8 minutes, we can conduct a hypothesis test using the sample data provided. The null hypothesis (H0) is that the mean wait time is greater than or equal to 8 minutes, and the alternative hypothesis (Ha) is that the mean wait time is less than 8 minutes.
We need to calculate the test statistic, which is the t-value. The formula to calculate the t-value is:
t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))
Using the given data, we can plug in the values:
t = (7.43 - 8) / (3.6 / sqrt(64))
Calculating this gives us a t-value of -1.248.
Next, we need to determine the critical value at a significance level of 0.005. Since the alternative hypothesis is that the mean wait time is less than 8 minutes, we will use a one-tailed test and find the critical value from the t-distribution table. At a significance level of 0.005 and 63 degrees of freedom (64 - 1), the critical value is -2.650.
Finally, we compare the test statistic to the critical value. If the test statistic is less than the critical value, we reject the null hypothesis. In this case, -1.248 is greater than -2.650, so we fail to reject the null hypothesis. This means that the sample evidence does not support the inspection station's claim that the wait time is less than 8 minutes at a significance level of 0.005.
Simplify this complex fraction
Answer:
2/ 21
Step-by-step explanation:
2/3 ÷ 7
Copy dot flip
2/3 * 1/7
2/ 21
Teddy uses 2.5 gallons of ice to fill 4 buckets.he needs to fill 30 buckets.how many gallons of ice will teddy need?
Answer:
48- Teddy will need 48 gallons of ice.
Step-by-step explanation:
2.5 ÷ 4 = 1.6
1.6 x 30 = 48!
Teddy will need 48 gallons of ice.
Hope i helped ^^
Lee and Maya are collecting leaves for an art project. Lee collect 24/100 of the tiral number of leaves needed. Maya collects 4/10 of the total number of leaves needed. What fraction of tge total number of leaves did they collect altogether?
Answer:
The fraction of the total number of leaves did they collect altogether is [tex]\frac{16}{25}[/tex]
Step-by-step explanation:
This question can be solved by a sum of fractions.
Lee collect 24/100 of the tiral number of leaves needed.
Maya collects 4/10 of the total number of leaves needed.
What fraction of the total number of leaves did they collect altogether?
This is the sum of 24/100 and 4/10.
The lesser common multiple between 100 and 10 is 100. So
[tex]\frac{24}{100} + \frac{4}{10} = \frac{24 + 10*4}{1001} = \frac{64}{100}[/tex]
We can simplify by four
The fraction of the total number of leaves did they collect altogether is [tex]\frac{16}{25}[/tex]
Final answer:
Lee and Maya have collected 64/100 or 64% of the total number of leaves needed for their project when we add Lee's 24/100 and Maya's 40/100 together.
Explanation:
Lee has collected 24/100 of the leaves, and Maya has collected 4/10 of the leaves for their art project. To find out what fraction they have collected altogether, we need to add the two fractions. However, before we can do that, we need to make sure the fractions have the same denominator.
Since 4/10 can be simplified to 40/100, we now have a common denominator of 100. Adding the two fractions together:
Lee's leaves: 24/100
Maya's leaves: 40/100
Total leaves collected: 24/100 + 40/100 = 64/100
Therefore, Lee and Maya have collected 64/100 of the total number of leaves needed for their project.
what is the sum in simplest form?
4 1/2 + 1 3/5
To find the sum in simplest form of 4 1/2 and 1 3/5, you convert each to an improper fraction, adding the fractions and convert back to a mixed number. The sum is 6 1/10.
Explanation:The sum in simplest form of the two numbers 4 1/2 and 1 3/5 can be calculated as follows:
Change each mixed number into an improper fraction. 4 1/2 becomes 9/2 and 1 3/5 becomes 8/5.Then add the two fractions: 9/2 + 8/5 equals 45/10 + 16/10 (after finding a common denominator), which equals 61/10.Finally, convert back to a mixed number to get 6 1/10.So, the sum in the simplest form of 4 1/2 and 1 3/5 is 6 1/10.
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Suppose a recent nationwide survey showed that 35% of American college students have traveled outside of the USA. But a well known university believes its students have traveled abroad more than the national rate of 35%. A random sample of 100 students from this university had 42 students who have traveled outside the USA. A hypothesis test is then conducted to determine if we can believe that, statistically, more of this university's students have traveled abroad. Using these numbers, what is the value of the test statistic for this hypothesis test
Answer:
Step-by-step explanation:
We would set up the hypothesis test.
For the null hypothesis,
p = 0.35
For the alternative hypothesis,
p > 0.35
This is a right tailed test considering the > in the alternative hypothesis.
Considering the population proportion, probability of success, p = 0.35
q = probability of failure = 1 - p
q = 1 - 0.35 = 0.65
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 42
n = number of samples = 100
P = 42/120 = 0.42
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.42 - 0.35)/√(0.35 × 0.65)/100 z = 1.48
The test statistic for the hypothesis test, given a sample proportion of 0.42, hypothesized population proportion of 0.35, and sample size of 100 students, is calculated to be 1.47.
To calculate the test statistic for the hypothesis test, we use the formula for testing a proportion:
Calculate the sample proportion (\(\hat{p}\)): \(\hat{p} = \frac{x}{n}\), where x is the number of students who have traveled abroad in the sample and n is the sample size.Calculate the standard error (SE) of the sample proportion using the formula: SE = \(\sqrt{\frac{p(1-p)}{n}}\), where p is the hypothesized population proportion.Compute the test statistic (z) by subtracting the hypothesized proportion from the sample proportion and dividing the result by the standard error: z = \(\frac{\hat{p} - p}{SE}\).Using the given numbers, we have:
The sample proportion, \(\hat{p}\), is 42/100 = 0.42.The hypothesized population proportion, p, is 0.35.The sample size, n, is 100.Now we calculate the standard error:
SE = \(\sqrt{\frac{0.35(1-0.35)}{100}}\) = \(\sqrt{\frac{0.35(0.65)}{100}}\) = \(\sqrt{\frac{0.2275}{100}}\) = 0.0477.
Then we calculate the z-score:
z = \(\frac{0.42 - 0.35}{0.0477}\) = \(\frac{0.07}{0.0477}\) = 1.47.
The value of the test statistic for this hypothesis test is 1.47.
A restaurant has 10 sodas that come in 12 different cup sizes. How many different drinks can you order?
Answer:
There are 120 different drinks that you can order.
Step-by-step explanation:
You have 10 options of soda for which you can choose.
For each options, there are 12 different cup sizes.
12*10 = 120
So there are 120 different drinks that you can order.
What is 2015722184 multiplied by 142748261654 i cant find this on calculator for some reason
Answer:
The Exact answer is 287740837743404332336.
The Decimal Answer is 2.87740837 ⋅ 10 ^20.
Hi there! I´m new ¿Can you help me please?
A fence post that is 2 meters tall casts a shadow of 1.6 meters. How tall is a tree that castsa shadow of 24 meters?
I AM A EIGHT GRADER !
Answer:
look below im smart and im just a seventh grader O w O
Step-by-step explanation:
2f(1.6m)
X=24
X=2*24/1.6
X=2*15
X= 30 m
The edges of three squares are joined together to form a right triangle with legs of lengths r and sand a hypotenuse of length t. What must be true?
1) The perimeter of Square T is equal to the sum of the perimeters of Square R and Square S.
2) The area of Square T is four times the area of Square R.
3) The perimeter of Square T is four times the perimeter of Square R.
4) The area of Square T is equal to the sum of the areas of Square R and Square S.
The area of Square T is equal to the sum of the areas of Square R and Square S.
Is the area of the square and circle the same?The area of a square is the same as the area of a circle. The perimeters of the circle and square are in the ratio. The area of a square is the same as the area of a circle. The perimeters of the circle and square are in the ratio.
How do you find the area?To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle or a square. Area, A, is x times y.
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Todd has $124 in his checking account. He wrote two checks for $13.96 and $21.67 and transferred
$14 into his checking from his savings.
What is his new balance?
Answer:
$[tex]74.37[/tex]
Step-by-step explanation:
To figure out how much is left in his checking account, simply subtract the amount he took out.
[tex]124 -13.96 = 110.04[/tex]
[tex]110.04 - 21.67 =88.37[/tex]
[tex]88.37 - 14= 74.37[/tex]
$[tex]74.37[/tex] is left in his checking account.
Answer:
$102.37
Step-by-step explanation:
Todd has $124 to begin with
He writes two checks (subtract) $13.96 & $21.67
Then he removes $14.00 from his savings & places it into his Checking. (Adding) it to his checking account balance
$124-13.96-21.67+14 = $102.37
What is the exact decimal equivalent of 7/12