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Zolol [24]
3 years ago
11

Right triangle ABC has a right angle at ∠B and the following measures: AB=37, m∠C=65°, and m∠A=25°.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
3 0

Answer: option B is the correct answer.

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

BC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle.

To determine m, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan 65 = 37/m

m = 37/Tan65

m = 37/2.1445

m = 17.25

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It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of
max2010maxim [7]

GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

SOLUTION

Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

x+y=1770\text{   -----------(1)}

If there are 3 females for every 2 males, we have that:

\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{   ----------(2)} \end{gathered}

We can substitute equation (2) into equation (1) and solve for y:

\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}

Dividing both sides by 5, we have

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There are 1062 females in the county.

3 0
1 year ago
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Answer:

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Step-by-step explanation:

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