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)
Substitute 30 for t - h(30) = 150 - 120
Simplify - h(30) = 30
The person would be 30 feet above the ground in half an hour.
Answer:

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
. The total distance of his legs from the floor is then:

This distance cannot reach or exceed 74.5 cm, thus

Solving for r

Or, equivalently

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
, and that of the larger triangle by
.
Area of a triangle =
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:

Area of smaller triangle =
x b x h
=
x 5 x h
=
h
Area of the lager triangle =
x b x h
=
x 8 x h
= 4h
So that;
Ratio = 
= 
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;
= 
= 
5
= 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
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 :)
Answer:
The top right option.
Step-by-step explanation: