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Tasya [4]
3 years ago
15

A. 12

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0

Tree casts a shadow 30 feet long. A MHS student standing near the tree casts a shadow 9 feet long. The  student is 6 feet tall. What is the height of the tree? Show all work

<em><u>Answer:</u></em>

Option D

The height of tree is 20 feet tall

<em><u>Solution:</u></em>

From given question,

Shadow of tree = 30 feet

Height of tree = ?

Height of student = 6 feet

Shadow of student = 9 feet

We have to find the height of tree

We can solve the sum by proportion

\frac{\text{height of tree}}{\text{shadow of tree}} = \frac{\text{height of student}}{\text{shadow of tree}}

This forms a proportion and we can solve the sum by cross multiplying

\frac{\text{height of tree}}{30} = \frac{6}{9}\\\\\text{height of tree} = 30 \times \frac{6}{9} = 30 \times \frac{2}{3}\\\\\text{ height of tree } = 10 \times 2 = 20

Thus height of tree is 20 feet tall

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If ON = 7x - 5, LM = 6x + 4, NM = x + 6, and OL = 8y + 3, find the values of X and Y for which LMNO must be a parallelogram. Ple
Sladkaya [172]

The values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

<h3>Properties of a Parallelogram</h3>
  • The opposite sides of a parallelogram are parallel to each other and are also of equal lengths.
  • Diagonals of a parallelogram are congruent to each other and also bisect each other into equal halves.

Therefore:

ON = LM

Substitute

7x - 5 = 6x + 4

Add like terms

7x - 6x = 5 + 4

x = 9

OL = NM

Substitute

8y + 3 = x + 6

Plug in the value of x

8y + 3 = 9 + 6

8y + 3 = 15

8y = 15 - 3

8y = 12

y = 12/8

y = 1.5

Therefore, the values of x and y that will make LMNO a parallelogram are: x = 9, y = 1.5.

Learn more about parallelogram on:

brainly.com/question/7200842

6 0
2 years ago
Find the volume of a right circular cone that has a height of 7.4 in and a base with a diameter of 5.4 in. Round your answer to
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Answer:

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Step-by-step explanation:

volume of a cone = 1 / 3 × pi × radius^2 × height

= 1/3 × 22/7 × 7.29 × 7.4

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Which is greater? 0.006 or 0.1
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Answer:

0.1

Step-by-step explanation:

In a problem like this the number that is more to the left is greater. As you can see 0.1 is more to the left

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Ryker wants a new car. The dealership offers him a loan at 9% annual interest for 6 years. If Ryker wants to do some calculation
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The monthly interest rate is 0.75%

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The rate of interest= 9%

Total time = 6years

Interest rate per month = 9/12

= 0.75%

Monthly payment =cost of the car + 0.75% of cost of car

Interest per month is 0.75%

3 0
3 years ago
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