Answer:
h(1.5) = 7.3 ft
h(10.3) = 24.9 ft
Step-by-step explanation:
Given the function h(d) = 2d + 4.3,
where:
h = height of the water in a fountain (in feet)
d = diameter of the pipe carrying the water (in inches)
<h3>h(1.5)</h3>
Substitute the input value of d = 1.5, into the function:
h(1.5) = 2(1.5) + 4.3
h(1.5) = 3 + 4.3
h(1.5) = 7 feet
The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.
<h3>h(10.3)</h3>
Substitute the input value of d = 10.3, into the function:
h(10.3) = 2(10.3) + 4.3
h(10.3) = 20.6 + 4.3
h(10.3) = 24.9 feet
The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.
<h3>Context of the solutions to h(1.5) and h(10.3):</h3>
The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain. The height of the water in fountain increases relative to the diameter of the pipe. In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.
Answer:
see explanation
Step-by-step explanation:
The perimeters of the similar figures have the same ratio as the sides.
ratio of perimeters = 
ratio of areas = 11² : 6² , that is 121 : 36
ratio of areas = 
Answer:

Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,

AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:

Consider right triangle CAH.By the Pythagorean theorem,

The length cannot be negative, so CD=8 cm and

In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,

By the Pythagorean theorem,

Answer:
a
Step-by-step explanation:
the answer is a as proven by the othee options being false
Answer:
<h2>Here</h2>
The numbers less than 50 (A) = 4
Total numbers (S) = 14
Probability students below 50 = 4÷14
Step-by-step explanation:
That is the correct answer of it.