The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles. What is the area of the animal park?
a. 3.91 mi²
b. 5.7 mi²
c. 7.82 mi²
d. 11.4 mi²

Answers

Answer 1

Answer: a. 3.91 m²
area of a triangle is (base x height)/2
b=3.4
h=2.3
(2.3)(3.4)=7.82
7.82/2=3.91
**the height of this triangle would be one of the sides because it is a right triangle (sides meet and form perpendicular lines, or a 90° angle)

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Step-by-step explanation:

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The tuition costs, C, for a local community college are modeled by C(h) = 250 + 200h, where h represents the number of credit hours taken. The local state university has tuition costs, S, modeled by the function S(h) = 300 + 180h. How many credit hours will a student have to take for the two tuition costs to be equal? Round the answer to the nearest tenth of an hour. 250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours

Answers

To solve how many credit hours will a student have to take for the two tuition costs to be equal, the two functions should be equated and solve for the number of hours
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The required equation is: $\mathbf{150 + 200h = 300 + 180h}$ and the number of credit hours is 7.5

The functions are given as:

$\mathbf{C(h) = 250 + 200h}$

$\mathbf{S(h) = 300 + 180h}$

When the two tuition costs are equal, we have:

$\mathbf{C(h) = S(h)}$

This gives

$\mathbf{150 + 200h = 300 + 180h}$

Collect like terms

$\mathbf{ 200h -180h= 300 -150 }$

$\mathbf{ 20h= 150 }$

Divide both sides by 20

$\mathbf{ h= 7.5 }$

Hence, the required equation is: $\mathbf{150 + 200h = 300 + 180h}$ and the number of credit hours is 7.5

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The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles. What is the area of the animal park?a. 3.91 mi²b. 5.7 mi²c. 7.82 mi²d. 11.4 mi²

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The county animal park is shaped like a triangle. Two perpendicular sides of the park measure 2.3 miles and 3.4 miles. What is the area of the animal park?
a. 3.91 mi²
b. 5.7 mi²
c. 7.82 mi²
d. 11.4 mi²