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Mrac [35]
3 years ago
5

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find tan A.

Mathematics
1 answer:
jasenka [17]3 years ago
3 0

For the given triangle, the tan of angle A equals C. \frac{5}{12}.

Step-by-step explanation:

Step 1; In the given triangle, the opposite side has a length of 15 units, the adjacent side has a length of 36 units while the hypotenuse of the triangle measures 39 units. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.

cos A = \frac{oppositeside}{adjacentside}.

Step 2; The opposite side's length = 15 units,

The adjacent side's length = 36 units.

cos A = \frac{15}{36}, dividing the numerator and the denominator by 3, we get

cos A = \frac{5}{12}, which is option C.

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Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the
Elis [28]

Answer:

<h2>231in^3</h2>

Step-by-step explanation:

We know that the volume of a sphere/globe is given as

V=4 /3πr^3

but the circumference is expressed as

C=2πr

solving for r given  that C=24

24=2*3.142r

24=6.284r

r=24/6.284

r=3.8in

put r=3.6 in the expression for volume we have

V=4 /3π(3.8)^3

V=4 /3π(55

V=(220.59*3.142)/3

V=693.12/3

V=231in^3

The volume of the globe is 231in^3

3 0
3 years ago
What is the slope of the line that passes through (10,0) and is parallel to y = (1/2)x + 3?
faltersainse [42]
Y=1/2x+c
0=1/2 (10)+c
0=5+c
c=-5

the equation is y=1/2x+5
the slope is the same since these two lines are parallel
4 0
3 years ago
Giải dumfmmmm voqisiiiiiiiiii
Brums [2.3K]

Answer:

私はあなたの言語を理解していなかった

Step-by-step explanation:

お邪魔して申し訳ありません

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8 0
2 years ago
Pls help on algebra homework. Will mark brainliest!
Over [174]

Answer:

H)

Step-by-step explanation:

First, Length XY is 20 centimeters. Since YZ = 3/5 XY, \frac{3}5\times20=12

YZ = 12 + 20 = 32 cm, hence H)

Hope you have a nice day! (Pls mark brainliest)

4 0
2 years ago
Write an equation of the line that passes through the given points: (9/2,1), (-7/2,7) please show step by step how to do this. T
Viktor [21]

Explanation:

The easiest way to do this is to make use of the 2-point form of the equation for a line. For points (x₁, y₁) and (x₂, y₂), the equation is ...

  y=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)+y_1

Filling in your given points, the equation becomes ...

  y=\dfrac{7-1}{\frac{-7}{2}-\frac{9}{2}}(x-\frac{9}{2})+1

After you fill in the values, it is a matter of simplifying the resulting equation.

y=\dfrac{6}{\frac{-16}{2}}(x-\frac{9}{2})+1=\dfrac{-12}{16}(x-\frac{9}{2})+1=-\dfrac{3}{4}x+\left(\dfrac{-3}{4}\cdot\dfrac{-9}{2}\right)+1\\\\y=-\dfrac{3}{4}x+\dfrac{27+8}{8}\\\\y=-\dfrac{3}{4}x+\dfrac{35}{8}

6 0
3 years ago
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