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koban [17]
1 year ago
12

Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

Mathematics
1 answer:
ser-zykov [4K]1 year ago
3 0

Answer:

The last answer is correct.

Step-by-step explanation:

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9. The function h(t) = 150 - 4t represents the height of a person repelling down
Kisachek [45]

Answer:

30 feet

Step-by-step explanation:

Hello!

Half an hour is 30 minutes, so that means we are asked to find h(30).

Solve for h(30):

  • h(30) = 150 - 4(30)         \implies Substitute 30 for t
  • h(30) = 150 - 120           \implies  Simplify
  • h(30) = 30

The person would be 30 feet above the ground in half an hour.

8 0
2 years ago
Read 2 more answers
The bottom of Ignacio's desktop is 74.5\,\text{cm}74.5cm74, point, 5, start text, c, m, end text from the floor. Ignacio sits in
sasho [114]

Answer:

r

Step-by-step explanation:

<u>Function Modeling</u>

The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 4.8r. The total distance of his legs from the floor is then:

49.3+4.8r

This distance cannot reach or exceed 74.5 cm, thus

49.3+4.8r

Solving for r

\displaystyle r

Or, equivalently

\boxed{r

8 0
2 years ago
Two triangles have bases with lengths 5in and 8in.
Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

Area of a triangle = \frac{1}{2} x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

7 0
2 years ago
Can some one awser some of those please thank you please :)
Alexeev081 [22]
5. 1,000,000
6. 9,300
7. 5,070
8. 5, 280
9. 810
10. 220
11. 44,770
12. 76, 000

Those are a few answers for you. Try looking back at your notes (If you copied any) to figure out your problems :)
4 0
3 years ago
Read 2 more answers
Which table represents a linear function?
GalinKa [24]

Answer:

The top right option.

Step-by-step explanation:

3 0
2 years ago
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