I need help on this question!

Dominic is 1.75 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 37.95 meters. He stands 33.7 meters away

Mama L [17]

Using similarity principle, the height of the tree is 1.97 meters

<h3>How to find height of the tree?</h3>

He is 1.75 meters tall.

His shadow = 33.7 meters

The length of the tree shadows = 37.95 meters

Using similarity principles where the corresponding length are a ratio of each other.

Therefore,

1.75 / x = 33.7 / 37.95

cross multiply

37.95 × 1.75 = 33.7x

66.4125 = 33.7x

divide both sides by 33.7

x = 66.4125 / 33.7

x = 1.97069732938

x = 1.97 meters

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7 0

1 year ago

The Ohio Department of Agriculture tested 203 fuel samples across the state in 1999 for accuracy of the reported octane level. F

OlgaM077 [116]

Answer:

The Sample size is 1918.89035

Step-by-step explanation:

Consider the provided information.

It is given that 14 out of 105 samples failed.

Therefore p = 14/105 = 0.13 3... and q=1-0.133=0.867

Samples would be needed to create a 99 percent confidence interval.

Subtract the confidence level from 1, then divide by two.

$\frac{(1 -0.99)}{2}=0.005$

By standard normal table z=2.5758≈2.58

Calculate the sample size as:

$n=\frac{z^2pq}{e^2}$

Where, e is the margin of error,

Substitute the respective values.

$n=\frac{(2.58)^2(0.133)(0.867)}{(0.02)^2}=1918.89$

Hence, the Sample size is 1918.89035

4 0

3 years ago

What is the length of the right triangle below in inches?

k0ka [10]

Answer:

6in

Step-by-step explanation:

Using the pythagerous thereom,

10^2 = 8^2 + b^2

b^2 = 10^2-8^2

b^2 = 100-64

b^2 = 36

b = 6

<em>Feel free to mark this as brainliest :D</em>

8 0

2 years ago

Read 2 more answers

the earth and the sun are 93,000,000 apart. if the moon is 0.27% of the distance between the sun and earth, how many miles away

Rashid [163]

The moon is 238,855 miles away!

4 0

3 years ago

What is the simplified form of x plus 1 over x squared plus x minus 6 ÷ x squared plus 5x plus 4 over x plus 4 ?

Mumz [18]

Answer:

1 / (x-2)(x+3)

Step-by-step explanation:

Given in the question the expression:

(x + 1) / (x² + x - 6) ÷ (x² + 5x + 4) / (x+4)

factorisation of (x² + x - 6) = (x-2)(x+3) by using quadratic equation

(x + 1) / (x-2)(x+3) ÷ (x² + 5x + 4) / (x+4)

Taking reciprocal to convert ÷ into ×

(x + 1) / (x-2)(x+3) x (x+4) / (x² + 5x + 4)

factorisation of (x² + 5x + 4) = (x+1)(x+4) by using quadratic equation

(x + 1) / (x-2)(x+3) x (x+4) / (x+1)(x+4)

cancel (x + 1) from both expression

1 / (x-2)(x+3) x (x+4) / (x+4)

cancel (x+4)

1 / (x-2)(x+3) Simplified form

5 0

3 years ago