Which represents a unit rate

Mathematics

1 answer:

Mice21 [21]3 years ago

3 0

Answer:

Step-by-step explanation:

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.

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The base of a regular hexagonal pyramid has an apothem length of 3√ in. What is the exact area of the base of the pyramid?

12345 [234]

1. To solve this problem you must apply the formula for calculate the area of a regular hexagon given the apothem, which is shown below:

A=(Perimeter x Apothem)/2

2. You have the apothem, so you can calculate the perimeter. First, you have to know the lenghts of the sides:

Tan(30°)=x/√3
x=1

Side=2x
Side=2

Perimeter=2x6
Perimeter=12

3. Then, you have that the area of the base is:

A=(Perimeter x Apothem)/2
A=12x√3/2
A=6√3
A=10.39
B=10.39 cm²

The answer is: B=10.39 cm²

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3 years ago

For an angle θ with the point (15, −8) on its terminating side, what is the value of cosine?

malfutka [58]

Answer:

The value of cosθ is $\frac{15}{17}$