Answer:
The answers are;
AB = 15 cm, BC = 20 cm, ∠B = 40° no
AB = 15 cm, AC = 20 cm, ∠C = 40° yes
BC = 5 cm, BA = 10 cm, ∠A = 40° yes
AC = 5 cm, BC = 10 cm, AB = 14 cm no
Step-by-step explanation:
Here we have that
1. in ΔABC, sides AB = BA and BC as well as ∠B are known hence the two sides and the included angle of the triangle are known, hence the triangle is well defined, hence there is only one way to draw the triangle.
Therefore, the answer is No
2. in ΔABC, sides AB and AC as well as ∠C which is ∡ACB are known hence since the included angle ∠A of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.
Therefore, the answer is Yes
3. Similarly in ΔABC, sides BC and AB as well as ∠A which is ∡CAB are known hence since the required included angle ∠B of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.
Therefore, the answer is Yes
4. in ΔABC, sides AC and BC and AB are known, hence, ∠A, ∠B, and ∠C cn be found which indicates that the triangle is well defined, that is only one way to draw the triangle.
Therefore, the answer is No.
Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved after n weeks.
Answer:
After 'n' weeks?
Step-by-step explanation:
Make sure your question makes sense.
alice took out 80/20 mortgage on a $232,000 home. what is the amount financed under the first mortgage?
Answer:
The amount financed under this mortgage is $185,600
Step-by-step explanation:
Alice took out an 80/20 mortgage on a $232,000 home.
80/20 mortgage means pay 20% down payment and 80% finance amount of home value.
Home value = $232,000
Now, we need to find finance amount from this hone value of $232,000
Let's calculate the 80% of $232,000 as finance amount;
Finance amount = 80% of 232000
Finance amount = 0.80 x 232000
Finance amount = 185,600
Hence, The amount financed under this mortgage is $185,600
Help ASAP, question below, 20 points
Answer:
1 more lawn per hour
Step-by-step explanation:
Brian mows one lawn every hour while logan takes 4 hours to mow 2
Brian:
Hr 1 1 Lawn
Hr 2 2 Lawn
Hr 3 3 Lawn
Hr 4 4 Lawn
Logan:
Hr 1 2 Lawn
Hr 2 4 Lawn
Hr 3 6 Lawn
Hr 4 8 Lawn
An amusement park charges an admission fee of 25 dollars per person. The cost, C (in dollars), of admission for a group of p people is given by the following function.
Answer:
c=25p
Step-by-step explanation:
c= total cost
p=number of people
total cost is the numer of people times 25 dollars each
1
Complete the following proof by putting the reasons in order. Click on the proof to make it larger.
Remember, draw the diagram on your paper so you can label it!
Drag and drop the reasons so they are in the correct order for the proof.
SAS
Given (1)
Given (2)
CPCTC (Congruent parts of congruent triangles are congruent)
Reflexive Property
Answers:
Angle MNP is congruent to Angle OPN- Given 1MN is congruent to OP- Given 2Np is congruent to NP- Reflexive PropertyTriangle MNP is congruent to Triangle OPN- SASMp is congruent to No- CPCTCI've attached a diagram that visually shows the congruency!!
Geometry help for an idiot lol pls help
Answer:
B
Step-by-step explanation:
The transformation is proved through comparing the size of the bigger triangle to the smaller triangle in the individual sides. So the size of A F/ AB should be equal to AG / AC due to transformations making A F and AG the same times longer as AC and AB. By performing those calculations, you get 3.
Which of the following is true if the data point 11.1 is corrected to 11.7?
A.The mean increases.
B.The median increases.
C.The data set has two modes.
D. The range increases.
Answer:
Which of the following is true if the data point 11.1 is corrected to 11.7?
A.The mean increases.
B.The median increases.
C.The data set has two modes.
D.The range increases.
A.The mean increases.
C.The data set has two modes.
These are the correct answers.
A and C will be correct answers.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including basic arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
Given that the Data point is corrected from 11.1 to 11.7. As we already know if we increase the value of the data point the mean will rise when a data point is added that is above the mean or subtracted that is below the mean. The mean will drop if one or more data points are removed that are above the mean or added that are below the mean.
Therefore, If data point 1.1 is corrected to 11.7 then the mean will increase and the data set has two modes.
Learn more about mean here:
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The PS5 is set to release this year. It will cost $600 but the price will drop by 7.5% per year. How much will a PS5 cost in 2025?
Answer: 562.5
Step-by-step explanation:
Ok...Im PRETTY sure this is right, because you multiply 5 (5 years till 2025) times 7.5 (the rate of decrease in price) and subtract that from 500, so that would be 600-37.5, which gives you 562.5
Okay, so the formula for these types of problems is [tex]yab^x[/tex] I believe, or something like that.
So the price is 600 for y, 1-0.0075 is the b because it is decreasing in value each year, and it is 5 years from now, so 5 for the x.
Plug those in, and you will get about 577.83.
I hope this helps.
I'll mark the correct answer the Brainiest
What is the sum of 4.9 × 10^2 and 6.8 × 10^3?
A.
1.17 × 10^3
B.
1.17 × 10^5
C.
1.17 × 10^7
D.
7.29 × 10^2
E.
7.29 × 10^3
Answer:
E
Step-by-step explanation:
To find the sum, you most find the answers for both powers of tens. 10^2 is 100, so 4.9*100=490. 10^3 is 1000, so 6.8^1000= 6800. Add them together and you get 7290, which if divided by 1000, you get 7.29. Since 10^3 is 1000, the correct answer isE.
Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.
α = 0.08; H1 is μ ≠ 3.24
a. ±1.75
b. 1.75
c. ±1.41
d. 1.41
Answer:
The critical z value used to test a null hypothesis is ±1.75.
Step-by-step explanation:
We are given that the data has a normal distribution and the number of observations is greater than fifty.
Also, the hypothesis given to us is;
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 3.24
Alternate Hypothesis, [tex]H_1[/tex] : [tex]\mu\neq[/tex] 3.24
This means that our test is two-tailed because in the alternate hypothesis we are concerned with mean value is less than or greater than 3.24.
Also, level of significance (α) = 0.08
Now, for two-tailed test level of significance becomes = [tex]\frac{\alpha}{2} =\frac{0.08}{2}[/tex] = 0.04
So, in the z-table the critical value of x at 4% significance level is given as 1.75.
Since, this is two-tailed test so the critical z value used to test a null hypothesis would be ±1.75.
At the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75. and this can be determined by using the given data.
Given :
Assume that the data has a normal distribution and the number of observations is greater than fifty.α = 0.08H1 is μ ≠ 3.24According to the hypothesis test:
Null Hypothesis -- [tex]\rm H_0:\mu=3.24[/tex]
Alternate Hypothesis -- [tex]\rm H_1 : \mu\neq 3.24[/tex]
According to the given data, the significance level is given by α = 0.08. So, the significance level for the two tailed test is given by:
[tex]\rm \dfrac{\alpha }{2}=\dfrac{0.08}{2}=0.04[/tex]
So, for the 4% significance level, the z-value is 1.75. Therefore, for the two tailed test the z value becomes [tex]\pm[/tex] 1.75.
So, the correct option is a).
For more information, refer to the link given below:
https://brainly.com/question/2253924
Helllppppppppp pleaseeeeeee
Answer:
17 cm
Step-by-step explanation:
Because if you use the Pythagorean threom a^2 + b^2 = c^2. 8 squared is 64 and 15 squared is 225 add those and you get 289, and 17 squared is 289.
What is the surface area of a cylinder with base radius 4 and height 5? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
The surface area of the cylinder is [tex]\( 72\pi \)[/tex] or approximately [tex]\( 227.836 \)[/tex] square units when using [tex]\( \pi \approx 3.143 \)[/tex].
The surface area of a cylinder can be calculated using the formula:
[tex]\[ \text{Surface Area} = 2\pi r^2 + 2\pi r h \][/tex]
where [tex]\( r \)[/tex] is the radius of the base and [tex]\( h \)[/tex] is the height of the cylinder.
Given the base radius [tex]\( r = 4 \)[/tex] and the height [tex]\( h = 5 \)[/tex], we can substitute these values into the formula:
[tex]\[ \text{Surface Area} = 2\pi (4)^2 + 2\pi (4)(5) \][/tex]
[tex]\[ \text{Surface Area} = 2\pi (16) + 2\pi (20) \][/tex]
[tex]\[ \text{Surface Area} = 32\pi + 40\pi \][/tex]
[tex]\[ \text{Surface Area} = 72\pi \][/tex]
Now, if we use the approximation[tex]\( \pi \approx 3.143 \)[/tex], the surface area becomes:
[tex]\[ \text{Surface Area} \approx 72 \times 3.143 \][/tex]
[tex]\[ \text{Surface Area} \approx 227.836 \][/tex]
The probability that Gerald makes a three-point shot in basketball is 20%. For practice, Gerald will regularly
shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him
to get his first successful shot.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and
in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
count all the dots that are greater than 10. you'll get 6 dots. the question is asking for the dots 10 and fewer there is 40 dots in total so you subtract
40-6= 34
the answer is 34/40
The probability for the dots 10 and fewer shots to get a successful shot is 34/40
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that Gerald makes a three-point shot in basketball is 20%.
He simulated 40 trials of three-point shots where each shot had a 0.2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot.
all the dots that are greater than 10 = 6 dots.
we need to find for the dots 10 and fewer there are 40 dots in total
So,
40-6= 34
Thus, the answer is 34/40
Learn more about probability here;
https://brainly.com/question/11234923
Which statement is not true about the absolute value of -6?
A. It describes the distance between 6 and -6 on the number line
B. It equals the absolute value of 6
C. It describes the distance between -6 and 0 on the number line
D. It can be expressed as |-6|.
Answer:
A.
Step-by-step explanation:
The distance between 6 and -6 on a number line is not the absolute value of -6.
Answer:
the answer is A
Step-by-step explanation:
Graph each linear equation.
x-y=-2
Answer:
the second answer
Step-by-step explanation:
start by getting the given equation into slope intercept form: y=mx+b
Just subtract x from both sides to get y by itself then divide by -1 bc y needs to be positive:
x-y=-2
-y=-x-2
y=-x/-1 -2/-1
y=x+2
This line is positive so it'll increase from left to right and also go through point (0,2) ( aka the y-intercept)
Help !
Can I have an explanation as well please !
Look at the attached picture
hope it will help you
A tourist on vacation went scuba diving at a depth where 0.0871 l of gas in his blood is under 12.0 atm of pressure if he instantly boards a plane where his blood will be under 1.50 atm of pressure what will be the volume of gas in his blood
Answer:
0.6968 L
Step-by-step explanation:
We can calculate the resulting volume thanks to Boyle's Law, which tells us The volume is inversely proportional to the pressure:
• If the pressure increases, the volume decreases.
• If the pressure decreases, the volume increases.
Thus:
P1V1 = P2V2
We know that P1 = 12 atm, V1 = 0.0871 L and P2 = 1.5 atm, that is, the value that we do not know about V2, therefore we solve for V2:
V2 = P1V1 / P2
Replacing:
V2 = 12 * 0.0871 /1.5
V2 = 0.6968 L
Which makes sense, since decreasing the pressure increases the volume.
A principle square root is always:?
Answer:
Every positive number "n" has two square roots. One of them is positive ( or ) , and the other is negative ( ). Together, these are denoted as . The principal square root is the positive number square root. Unless otherwise stated, "the square root" of a number refers ONLY to the principal square root.
Step-by-step explanation:
Answer:
positive #square root
Step-by-step explanation:
At 8 a.m. the temperature was –4ºC. At 12 p.m., the temperature was –1ºC. Shayla claims that it was warmer at 8 a.m. than it was at 12 p.m.
What mistake did Shayla most likely make when comparing the temperatures?
A. She used a number line.
B. She compared the absolute values.
C. She compared the order of the numbers.
D. She counted the distance from zero incorrectly.
Answer:
I believe the answer is C.
Step-by-step explanation:
Shayla forgotten that the further you are away, the more colder it gets or you are further away from zero. It is more warmer at 12pm than 8am as it was -1 degrees celsius which is warmer than -4 degrees celsius.
Find the distance between (3,0) and (8,12)
Answer: 13
math-way is helpful with problems like these.
If f(3) = -15, then what is f^-1(-15)?
Answer:3
Step-by-step explanation:
This is the basic definition of an inverse. f(3)=-15 means you plugged in 3 in the function, and you ended up with -15. The inverse means you plugged in some number x, and ended up with -15. Because f(3)=-15, the answer is 3.
What is the value of the product (3 – 21)(3 + 2/)?
5
9 + 4
9 - 41
13
The product of (3 – 2i) and (3 + 2i) simplifies to 13 after expanding and simplifying the expression, canceling out the imaginary terms.
To find the product of (3 – 2i) and (3 + 2i), we'll use the distributive property:
(3 - 2i)(3 + 2i) = 3(3) + 3(2i) - 2i(3) - 2i(2i)
= 9 + 6i - 6i - 4i²
Since i² = -1, substitute -1 for i²:
= 9 + 6i - 6i - 4(-1)
= 9 + 6i - 6i + 4
The terms with imaginary parts cancel out:
= 9 + 4
= 13
Thus, the product of (3 – 2i) and (3 + 2i) equals 13.
Complete Question:
What is the value of the product (3 – 2i)(3 + 2i)?
5
9 + 4i
9 – 4i
13
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
1/7
Step-by-step explanation:
The following information is missing:
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability 1/2 of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability 2/7 of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
Let's call:
A: captain hits, P(A) = 1/2
A': captain miss, P(A') = 1 - P(A) = 1/2
B: pirate hits
We want to calculate P(A'∩B). This can be computed as follows:
P(A'∩B) = P(A')*P(B|A')
where P(B|A') means pirate hits given that captain miss. We know that P(B|A') = 2/7. Replacing data into the equation:
P(A'∩B) = (1/2)*(2/7) =1/7
Tyler poured a total of 15 cups of water into 2 equal-sized bottles and filled each bottle. How much water was in each bottle?
||||
☆Thanks for the help guys!☆
Step-by-step explanation:
So 2 bottles and 15 cups
15 ÷ 2 = 7.5
He poured 7.5 cups of water in each bottle
Answer:
if you need a diagram here you go
Step-by-step explanation:
A child has toy blocks that contain the numbers 1 through 80. What is the probability that the will pick up a number that is not a multiple of 11?
Give your answer in fraction form.
Answer: 7/80
Step-by-step explanation: There are 7 multiples of 11 between 1 and 80, so you just put the 7 over the total number which is 80
Which number comes next in the pattern?
17, 21, 25, 29, ?
a. 31
b. 32
c. 33
d. 34
Answer:
C. 33
Step-by-step explanation:
The pattern increases by 4; 17+4=21, 21+4=25, 25+4=29, 29+4=33
For the following data set, calculate the mean and median. Any non-integer answers should be rounded to
the nearest tenth.
5,5, 9, 10, 13, 16, 18, 20, 22, 22
Answer:
(a)Mean=14
(b)Median=14.5
Step-by-step explanation:
Given the data set:
5,5, 9, 10, 13, 16, 18, 20, 22, 22
(a)Mean
[tex]\bar{x}=\dfrac{5+5+9+10+13+16+18+20+22+22}{10} \\=\dfrac{140}{10} \\Mean=14[/tex]
(b)5,5, 9, 10, 13, 16, 18, 20, 22, 22
Since we have two terms in the middle, we take the average to obtain the median.
Median
[tex]=\frac{13+16}{2}\\=\frac{29}{2}\\Median=14.5[/tex]
What is the diameter of the circle shown below?
Diameter is 12. Diameter is radius times 2. 6 times 2=12
Answer:
12
Step-by-step explanation:
the diameter is 2x the radius, in this case we have 6 as the radius so naturally the diameter is 12
Which fractions are equivalent to 40%? Check all that apply.
1 . StartFraction 8 Over 100 EndFraction
2 . Two-fifths
3 . StartFraction 8 Over 20 EndFraction
4 . StartFraction 4 Over 10 EndFraction
5 . StartFraction 16 Over 40 EndFraction
Answer:
2/5
8/20
4/10
16/40
Step-by-step explanation:
hope this helps :)
if this helps pls mark me as brainliest:)
The fractions that are equivalent to 40% are 4/10 and 8/20
Fractions and percentagesFractions are written as a ratio of two integers
Given the percentage 40%
Write as a fraction
40% = 40/100
Divide through by 4
40% = 40/100 = 4/10
Multiply both numerator and denominator by 2
4/10 * 2/2 = 8/20
Hence the fractions that are equivalent to 40% are 4/10 and 8/20
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(PART A PART B) PLEASE HELP!!! DUE TODAY!!!! ❤️
Answer:
the anser from what i see should be option 1
Step-by-step explanation:
The reason why i say this is because number 1 is linear which means it is just multipying but your multiplying and adding and its not option 3 because question 5 said the questions started at 1