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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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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
Leona [35]

Answer:

(\frac{2}{3} , \frac{1}{5})

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

4 0
2 years ago
The diagram shows a prism.
telo118 [61]

Answer:

Total surface area of the prism = 920 cm²

Step-by-step explanation:

Given prism has 2 similar triangular surfaces and 3 rectangular surfaces of different dimensions.

Area of one triangular side = \frac{1}{2}(\text{Base})(\text{Height})

Area of 2 similar sides = Base × Height

                                     = 8 × 15

                                     = 120 cm²

Area of rectangular side with dimensions 17cm × 20cm

Area of the side = 17 × 20 = 340 cm²

Area of the second rectangular side with dimensions 8cm × 20cm

Area of the side = 8 × 20 = 160 cm²

Area of third rectangular side with dimensions 20cm × 15cm

Area of the side = 20 × 15 = 300 cm²

Total surface area of the given triangular prism = 120 + 340 + 160 + 300

                                                                               = 920 cm²

6 0
3 years ago
Segments RT and SU are diameters of circle O.What is mSRT?
Pavlova-9 [17]

Angle SRT is undetermined by the question.

A diameter always subtends a right angle (Thales' Theorem, the first in geometry)  so we can be assured SRU, STU, RUT and RST are right angles.


3 0
2 years ago
The rectangular prism shown has a length of 5 cm, a height of 3 cm, and the width of 4 cm. What is the surface area of this pris
PilotLPTM [1.2K]

Answer:20

Step-by-step explanation:

because you are finding out the base so width times length

8 0
2 years ago
What is the slope of the line ?
Tju [1.3M]

Answer:

1

Step-by-step explanation:

Take any two points from the line:

I will take (-1,0) (0,1)

slope formula:

m = y2 - y1 / x2 - x1

m = 1 - 0 / 0 - (-1)

m = 1 / 0 + 1

m = 1 / 1

m = 1

cheers

5 0
3 years ago
Read 2 more answers
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