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Novay_Z [31]
2 years ago
15

PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined ab

out whether △PQR and △RST are similar?
Mathematics
1 answer:
Shalnov [3]2 years ago
8 0

Answer:

△PQR and △RST are not similar.

Step-by-step explanation:

In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

180-34-80=66

In triangle △RST, two known interior angles are 24° and 90°.

180-24-90=66

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.

Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.

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What is the approximate volume of the cone? use 3.14 for
Natali5045456 [20]

Answer:

157 cm²

Step-by-step explanation:

volume = (1/3) * π * r² * h

volume = (1/3) * π * 5² * 6

volume = (1/3) * π * 25 * 6

volume = (1/3) * π * 150

volume = (1/3) * 471

volume = 157 cm²

8 0
3 years ago
Who's friendships have changed since middle school? How?
makkiz [27]

Answer:

Mine

Step-by-step explanation:

Mine because people change up and everybody is not your friend everyone always have alot of animosity towards me but I didn't care anyways because my motha raised me to not have friends thats why i'm antisocial

4 0
2 years ago
3.27x+1.28y+1.83x−2.77y
Firdavs [7]

Answer:

5.1x - 1.49y

Step-by-step explanation:

We need to add or substract like terms.

like terms are the terms that have the same variable, in this case:

3.27x and 1.83x are like terms, and adding them we get:

3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)

we do the same for the terms with 'y':

1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:

1.28y −2.77y = -1.49y

the final answer is the conjunction of the two results that we obtained:

5.1x - 1.49y

8 0
2 years ago
A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T
Oksanka [162]

Answer:

The null and alternative hypotheses are:

H_{0}:\mu=75

H_{a} : \mu>75

Under the null hypothesis, the test statistic is:

t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }

Where:

\bar{x} =83 is the sample mean

s=9.8206 is the sample standard deviation

n=10 is the sample size

\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }

         =2.58

Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

t_{critical} =2.821

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

7 0
2 years ago
What is the value of f if f + I-3 11/12 = 18
astra-53 [7]
Solve for f:(i - 47/12) + f = 18
(i - 47/12) + f = f + (-47/12 + i):
f + (-47/12 + i) = 18
Subtract -47/12 + i from both sides:
Answer:  f = 263/12 - i
7 0
3 years ago
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