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denpristay [2]
2 years ago
7

Nachelle is 1.45 meters tall. At 11 a.m., she measures the length of a tree's shadow to be 23.05 meters. She stands 18.9 meters

away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

Step-by-step explanation:

this creates 2 similar triangles.

that means all angles are the same. and all the side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

her shadow is 23.05 - 18.9 = 4.15 m long.

the factor between the shadow lengths is then

4.15 × f = 23.05

f = 23.05 / 4.15 = 5.554216867...

the same factor now applies to the relation of the heights :

1.45 × 5.554216867... = 8.053614458... m

rounded the tree is 8.05 m tall.

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Answer:

use PEMDAS

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if you do it in that exact order you should get your answer.

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3 years ago
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3 years ago
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3 years ago
Are the following lines parallel, perpendicular, or neither?
natta225 [31]

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

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Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

8 0
2 years ago
The summer after sophomore year, Haley nannied for a family and earned $2000. She
AnnZ [28]

You want to calculate the interest on $2000 at5.8% interest per month after six years?

Here is your formula: I =p*r*t

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You’re interest is 8352.00

3 0
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