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3 years ago

Which type of angle is ∠ABC?

Mathematics

2 answers:

olga55 [171]3 years ago

5 0

It is a straight line so It is a straight angle.

mojhsa [17]3 years ago

4 0

That angle is a straight angle....

is this even a question?

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Cos (B+C - A) + cos (C+ A-B) + cos( A+B+C) = 1 + 4 cos A.cos B.cos C.

Stels [109]

Can you explain more

8 0

3 years ago

Read 2 more answers

Three numbers X,Y, and Z are in the ratio 2:7:8. If 12 is subtracted from Y, then three numbers form a geometric sequence (in th

noname [10]

Answer:

The other 3 numbers you are looking for are:

24/11

84/11

96/11

Step-by-step explanation:

We can start off by making the numbers 2x, 7x, and 8x. We put them in expressions:

(7x-12)^2=2x(8x)

Simplify

49x^2-168x+144=16x^2

Subtract 16x^2 on each side

33x^2-168x+144=0

Divide by 3

11x^2-56x+48=0

Factor

(11x-12)(x=4)=0

Answer

x=4 or x=12/11

If x is equivalent to 4 then that means that the original numbers would be:

8, 28, 32

2(4), 7(4), 8(4)

Subtracting 12 from Y, or 28 will make it 16.

8, 16, 32

This seems to be a geometric progression

Next we have 12/11

2(12/11), 7(12/11), 8(12/11)

24/11, 84/11, 96/11

Subtracting 12 from Y, or 84/11 will get us -48/11, meaning r=-2 for the GP.

Final Answer:

8 , 28 , 32

24/11 , 84/11 , 96/11

4 0

2 years ago

In October 1945, the Gallup organization asked 1,487 randomly sampled Americans, "Do you think we can develop a way to protect o

GalinKa [24]

Answer:

Yes. There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Step-by-step explanation:

The question is incomplete:

In October 1945, the Gallup organization asked 1487 randomly sampled Americans, "Do you think we can develop a way to protect ourselves from atomic bombs in case other countries tried to use them against us?" with 788 responding yes. Did a majority of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945? Use the α=0.05 level of significance.

This is a hypothesis test for a proportion.

The claim is that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

Then, the null and alternative hypothesis are:

H_0: \pi=0.5\\\\H_a:\pi>0.5

The significance level is 0.05.

The sample has a size n=1487.

The sample proportion is p=0.53.

$p=X/n=788/1487=0.53$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1487}}\\\\\\ \sigma_p=\sqrt{0.000168}=0.013$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.53-0.5-0.5/1487}{0.013}=\dfrac{0.03}{0.013}=2.288$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>2.288)=0.011$

As the P-value (0.011) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of Americans feel the United States could develop a way to protect itself from atomic bombs in 1945 is significantly greater than 0.5.

8 0

3 years ago

PLEASE HELP ME....ASAP

olchik [2.2K]

Answer:

1681 for area of rectangle

7 0

3 years ago

A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.