Answer:
32.4759526419
Step-by-step explanation:
If it is an equilateral triangle, that makes the height 5 * 1.5 = 7.5
That makes the base 15/sqrt(3).
That makes the area 112.5/2sqrt3 =
32.4759526419
Solving systems of equations algebraically.
6x + 8y = -22
y = -5
And SHOW YOUR WORK!!!!
Answer:
x = 3
y = -5
Step-by-step explanation:
Since you have the value of y already, just plug it into the equation, like so:
6x + 8y = -22
6x + 8(-5) = -22
6x - 40 = -22
Add 40 to both sides:
6x - 40 = -22
+ 40 + 40
___________
6x = 18
Finally, divide both sides by 6:
6x = 18
x = 3
So now you have, x = 3 and y = -5.
30.54
Which relationship in the triangle must be true?
sin(B) = sin(A)
sin(B) = cos(90 -B)
cos(B) = sin(180 - B)
cos(B) = cos(A)
Explanation:
The rule is that
sin(A) = cos(B)
if and only if A+B = 90.
Solving for A gets A = 90-B
So we end up with
sin(90-B) = cos(B)
which is the same as
cos(B) = sin(90-B)
Hey everyone hopefully your doing great just want to ask a quick question and hopefully you guys answer!!!
Answer:
m<XDQ = 41*
m<UXD = 138*
Step-by-step explanation:
for m<XDQ... 90-49= 41
for m<UXD... 180-41=139
Find the mean, median, mode, and range of the
data set.
{7, 3, 5, 4,5}
Look at the attached picture ⤴
Hope it will help u...
Answer:
mean=4.8 median=5 mode=5
Step-by-step explanation:
Mean-
Add all the numbers together
7+3+5+4+5=24
Then divide by the number of numbers
24/5=4.8
Mean=4.8
-
Median
List the numbers from least to greatest
3,4,5,5,7
The middle number is you median
3,4,5,5,7
Median=5
-
Mode
Which numbers appear the most
3,4,5,5,7
Mode=5
8 - 10x = 7 + 5x
4- 10x = 3 + 5x
Answer:
1/15
Step-by-step explanation:
15x = 1
x = 1/15
Five pennies, 3 dimes, and 4 quarters are placed in a bag. What is the probability of selecting a quarter and then another quarter, given the first coin is not returned to the bag after it is drawn?
2/11
1/11
1/22
5/33
Answer:
2/11
Step-by-step explanation:
In how many map squares did we spot less than 20 plant species
The number of spice plants spotted in the map are 3.
What is histogram?A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.
We need to spot less than 20 plant species.
From the given histogram,
Between the interval 0-9 there is 1 spice plant.
Between the interval 10-19 there is 2 spice plant.
So, total = 1+2=3
Therefore, the number of spice plants spotted in the map are 3.
Learn more about the histogram here:
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what is shaun’s percent grade if he got 23 out of 25?
Answer:
92%
Step-by-step explanation:
100 ÷ 25 = 4
23 × 4 = 92
What is the area pf the parallelogram, with lengths as marked, shown above?
Answer:
40
Step-by-step explanation:
To find the area of a parallelogram, you use the following formula:
base x height = area
Using this formula, we plug in the values the question provides, and solve for the area:
base x height = area
8 x 5 = area
40 = area
Answer:
Your answer would be 40
Step-by-step explanation:
break the polygon up into smaller shapes
and then add them all together for the final answer
Explain why you cannot use y = mx + b to find the equation of a vertical line.
Answer:
because the slope would be 1/0 which is undefined
Step-by-step explanation:
Answer:
Because a vertical line has an undefined slope. If you were to use rise over run you get any number over 0 (ex. 7/0). You cannot divide any number by zero which means you will get an undefined answer.
The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a
mean of 2 ounces and a standard deviation of 0.3 ounce. A random sample of 16 cupcakes
is selected every day and measured. What is the probability the mean weight will exceed
2.1 ounces? (2 points)
O 0.9088
0.3694
0.0912
0.6306
0.075
The probability of mean weight will exceed 2.1 ounces is 0.0912.
To solve this problem, we need to calculate the probability that the mean weight of the icing on a sample of 16 cupcakes exceeds 2.1 ounces, given that the distribution of the icing weights is normal with a mean of 2 ounces and a standard deviation of 0.3 ounce.
First, we need to find the standard error of the mean (SEM) for the sample of 16 cupcakes. The SEM is calculated by dividing the population standard deviation by the square root of the sample size:
[tex]\[ SEM = \frac{\sigma}{\sqrt{n}} = \frac{0.3}{\sqrt{16}} = \frac{0.3}{4} = 0.075 \][/tex]
Now, we need to find the z-score for the value of 2.1 ounces. The z-score is calculated by subtracting the population mean from the value in question and then dividing by the SEM:
[tex]\[ z = \frac{\bar{x} - \mu}{SEM} = \frac{2.1 - 2}{0.075} = \frac{0.1}{0.075} = \frac{4}{3} \approx 1.3333 \][/tex]
Next, we look up this z-score in the standard normal distribution table or use a calculator to find the probability of a z-score being less than 1.3333. This gives us the probability that the mean weight of the icing is less than or equal to 2.1 ounces.
[tex]\[ P(Z < 1.3333) \approx 0.9088 \][/tex]
However, we want the probability that the mean weight exceeds 2.1 ounces, so we need to subtract this value from 1 (the total probability):
[tex]\[ P(\bar{x} > 2.1) = 1 - P(Z < 1.3333) = 1 - 0.9088 = 0.0912 \][/tex]
Therefore, the probability that the mean weight of the icing on a sample of 16 cupcakes will exceed 2.1 ounces is 0.0912.
Factor this polynomial expression
x + 10x + 25
Answer:
(x+5)^2
Step-by-step explanation:
Which measurement is longer?
7 kilometers or 800 meters?
Answer:
It would be 7 kilometers
Step-by-step explanation:
Because:
7 Kilometers = 8,000 meters
and
800 meters = 0.8 kilometers
And because kilometers are longer than meters.
Hoped this works!
7 kilometers is longer than 800 meters.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity
We need to find which measurement is longer
7 kilometers or 800 meters
1 kilometer is equal to 1000 meters, so
7 kilometers is equal
7 kilometers = 7 x 1000 meters = 7000 meters
Since 7000 meters is greater than 800 meters, we can conclude that 7 kilometers is longer than 800 meters
Hence, 7 kilometers is longer than 800 meters.
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Which is the correct first step in finding the height of a cylinder with a volume of 178 cubic inches and a radius of 8 inches?
Va sern
8= (178)
WV = arh
V = x+(8)2 + 178
V= seh
V= 548)? (178)
V = xin
178 = $(8)
The correct first step is to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex] (Last option)
The correct first step in finding the height of a cylinder with a given volume and radius is to use the formula for the volume of a cylinder:[tex]\(V = \pi r^2 h\)[/tex], where V is the volume, r is the radius, and h is the height.
To solve for h, we must rearrange the equation to isolate h.
Therefore, the correct first step would be to divide both sides of the equation by [tex]\(\pi r^2\)[/tex] to solve for h:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
In the case given where the volume (V) is 178 cubic inches and the radius (r) is 8 inches, it would look like:
[tex]\[ h = \frac{178}{\pi \times 8^2} \][/tex]
After performing the calculations, this will give us the height (h) of the cylinder.
So the correct first step would be to apply the formula for the volume of a cylinder, [tex]\(V = \pi r^2 h\)[/tex], and then rearrange it to solve for the height by dividing the volume by [tex]\(\pi r^2\).[/tex]
If 45% of an item is $27.00 what is the original price?
Answer:
It would be $12.15.
Step-by-step explanation:
You would multiply 45% of 27.
45 * 27 = $12.15
Answer:
$12.15 is 45% of $27, so if the item was marked up, you add 12.15 and 27, and if it was marked down, you do 27 - 12.15
Step-by-step explanation:
a = p*w
a = .45*27
a = 12.15
hope this helps :)
Use the distributive property to remove the parentheses. Simplify your answer as much as possible.
Plz help will mark brainliest
Answer:
7
Step-by-step explanation:
ur welcome
Lana is 12 years old. Her sister is y years
old. Lana is twice as old as her sister.
How old is Lana's sister?
Answer:
Lana's sister is six.
Step-by-step explanation:
12/2= 6
Lana is two times her sisters age, so you have to divide Lana's age by two.
Answer:
6
Explanation:
because Lana 12, and her sister is 1/2 of that. Therefore, the equation to find the answer is 12/2, or 6.
+10+10+10+10+10 cuz iam bored still answer it
Answer: 50 or 10/10
Step-by-step explanation:
1+1+1+1+1= 5 then just make it like this 10+10=20+10=30+10=40+10=50
+10+10+10+10+10 cuz iam bored still answer it
Can anyone find the answer????
Answer:
A≈351.86 or rounded to the nearest tenth, 351.9.
Answer:
Your answer should be A.
Step-by-step explanation:
To begin, you must acknowledge the formula for the SA or Surface Area of a Cylinder. Which is: 2πrh+2πr2
Now, we plug it in!
2π4×10 + 2π16
How do I know this?
Your radius if 4, since it's half of the cylinder. Since the second part calls for your radius squared, you must do 4x4.
Which values are equivalent to the fraction below? Check all that apply. 2^5/2^9
Answer:
Step-by-step explanation:
1/16, 32/512,
Two angles are supplementary. The first angle is 8x degrees. The second angle is(4x+12). Determine the measure of each angle.
Answer:
The measure of the angles are 112 degrees and 68 degrees.
Step-by-step explanation:
Two angles are supplementary if they add up to 180 degrees.
The first angle is 8x degrees.
The second angle is (4x+12) degrees.
Therefore:
8x+4x+12=180 degrees
12x+12=180
12x=180-12
12x=168
Divide both sides by 12
x=14 degrees
Substituting x in the given angles:
8x =8*14=112 degrees
4x+12=4(14)+12=68 degrees
Therefore, the measure of the angles are 112 degrees and 68 degrees.
if rectangle a and rectangle b have a ratio of similarity of 5:4, what is the area of rectangle B if the area of the rectangle A is 24 square units
Answer:
the answer is 30 this is because if you rectangle b is 24 then rectangle a is 30 like if you simplify 30:25 if you divide it by 6 it will give 5:4
Step-by-step explanation:
Final answer:
The area of rectangle B is approximately 15.36 square units.
Explanation:
To find the area of rectangle B, we can use the ratio of similarity.
The ratio of similarity between rectangle A and rectangle B is 5:4.
Since the area of rectangle A is 24 square units, we can set up the equation:
(area of B) / (area of A) = (side length of B)² / (side length of A)².
Substituting the values, we get
(area of B) / 24 = (4/5)².
Solving for the area of B, we have
(area of B) = 24 * (4/5)²
= 24 * 16/25
= 384/25
= 15.36 square units.
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation I (d B) = 10 log left-bracket StartFraction I Over I Subscript 0 Baseline EndFraction Right-bracket, where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when I = 10 Superscript 32 Baseline (I Subscript 0)? 15 32 320 737
Answer:
320
Step-by-step explanation:
hope this helps!
The intensity of a sound of 10³² w/m² is 440 decibels.
What is an equation?An equation is an expression that is used to show the relationship between two or more variables and numbers.
Given that:
I(dB) = 10log(I/I₀)
Where I is the intensity of sound in w/m², I₀ = 10⁻¹²
Given that I = 10³², hence:
I(dB) = 10log(10³²/10⁻¹²) = 440 dB
The intensity of a sound of 10³² w/m² is 440 decibels.
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A computer monitor has a rectangular viewing area of 135 square inches. The viewing area is 9 inches tall. What is the
width of the viewing area?
Answer: 15 inches wide
Step-by-step explanation:
to find the area of a rectangle you would multiply the height by the width so this would be the opposite because we have the area which is 135 in.² so we would divide 135 by 9 which would give us 15.
What is the median of the data
Answer:
6
Step-by-step explanation:
Line up the numbers from smallest to largest:
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10
Take away one number from each side until you get to the middle.
Since there is an odd number of numbers there is only one number left and that number is 6. Stay safe and have a wonderful day! Peace! ✌
A total of 753 tickets were sold for the school play. They were either adult tickets or student tickets. There were 53 more student tickets sold than adult tickets.
How many adult tickets were sold?
Answer:
350
Step-by-step explanation:
Answer:
403 adult tickets
Step-by-step explanation:
x + x + 53=753
-53=-53
2x=700
x=350
350+53= 403
You want to put $2,500 in a simple interest account. It has a 4% annual interest rate. How long will it take you to earn $200 in interest?
Answer:
Because this is simple interest, the money will earn the same amount of money each year: 4% of $2500.
0.04×2500=100
4% of 2500 is 100, so...
$200÷$100 Per Year= 2Years
Answer:
It will take 2 months let me know if I'm wrong
Step-by-step explanation:
HELP I WILL GIVE U BRAINLIEST!!!!!!!!
Answer:
k = 6
Step-by-step explanation:
The parabola moved to the left by 6 units. It is important to know that when a problem says (x + 6) it means move to the left and when a problem says (x - 6) it means move to the right.
Extra information:
When a problem is like: f(x) + 7, it means to go UP 7, and f(x) - 7 would be to go down 7. Notice the number is outside the parentheses.
Answer:
pretty sure its 6, if you need an explanation... sorry :(
Step-by-step explanation:
Brian scored an 80% on a Chemistry Exam. The average on the exam was a 68%, with a standard deviation of
5%. What is Brian's z-score?
Answer:
Brian's z-score is 2.4
Step-by-step explanation:
The equation for z score is presented as follows;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
x = Score = 80%
μ = Mean = 68%
σ = Standard deviation = 5%
Plugging in the values gives;
[tex]z = \frac{80- 68}{5} =2.4[/tex]
Therefore, Brian's z-score on the Chemistry Exam, where the mean is 68%, the standard deviation is 5% and Brian's score is 80% = 2.4.
Final answer:
Brian's z-score is 2.4, calculated using the formula Z = (X - \) / \ by substituting X with Brian's score, \ with the mean score, and \ with the standard deviation. A z-score of 2.4 means Brian scored well above average.
Explanation:
Brian scored an 80% on a Chemistry Exam, where the average was 68%, with a standard deviation of 5%. To find Brian's z-score, use the formula:
Z = (X - \) / \
Where X is Brian's score, \ is the mean score, and \ is the standard deviation. Plug in the values:
Z = (80 - 68) / 5 = 12 / 5
Brian's z-score is 2.4, which means his score is 2.4 standard deviations above the mean. A z-score tells how many standard deviations an element is from the mean. If it's positive, the score is above average; if negative, below average.