1. Which of the following points lie on the line y = 7x

Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet

8 0

3 years ago

Find the dimensions of a rectangle whose perimeter is 52 m and whose area is 160 m (2)

Aliun [14]

Answer:

10, 16

Step-by-step explanation:

List the factors of 160.

1 × 160 = 160

2 × 80 = 160

4 × 40 = 160

5 × 32 = 160

8 × 20 = 160

10 × 16 = 160

(there are more, but we don't need them)

Check to see which factors can be added together to make 26, half of 52.

10 and 16 make 26.

That's the answer!

I hope this helps!

pls ❤ and mark brainliest pls!

6 0

2 years ago

In a study of 259 comma 995 cell phone users, it was found that 121 developed cancer of the brain or nervous system. Assuming t

IRISSAK [1]

Answer:

The probability of having 121 cases or less is:

$P(X$

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

Step-by-step explanation:

We start by calculating the expected standard deviation of the population cases:

$\sigma=\sqrt{n\pi(1-\pi)}=\sqrt{259,995*0.000489*0.999514}\\\\\sigma=\sqrt{126.29}\\\\\sigma=11.24$

Then, to calculate the probability, we first calculate the z-score for 121 cases.

$z=\dfrac{X-\mu}{\sigma}=\dfrac{121-127}{11.24}=\dfrac{-6}{11.24}=-0.5338$

The probability of having 121 cases or less is:

$P(X$

This suggests that the study does not show any significantly effect of the use of cell phone in the probability of having brain or nervous system cancer. The use of cell phone does not appear to be a significant factor in the risk of having this type of cancer.

3 0

3 years ago

1. Which of the following points lie on the line y = 7x – 16?