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1 year ago

Match the trigonometry formula to its correct ratio. Reduce the ratio if necessary.

Mathematics

2 answers:

Mandarinka [93]1 year ago

5 0

Step-by-step explanation:

mark me as brilliant plzzz

Diano4ka-milaya [45]1 year ago

4 0

Answer:

4/3 = tan A

4/5 = sin A

3/5 = cos A

Step-by-step explanation:

Define the adjacent, hypotenuse, and opposite lengths in the triangle.

Hypotenuse: 20

Opposite: 18

Adjacent: 12

Tan, sin, and cos formulas:

Tan A = opposite/adjacent
Sin A = opposite/hypotenuse
Cos A = adjacent/hypotenuse

I think it should be pretty easy to do the rest by simplifying the fractions and then getting the answer!

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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The area of a square floor on a scale drawing is 64 square centimeters, and the scale drawing is 1 centimeter:3 ft. What is the

Oxana [17]

Answer:

Part a) The area of the actual floor is $576\ ft^{2}$

Part b) The ratio of the area in the drawing to the actual area is $\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

Step-by-step explanation:

we know that

The scale drawing is $\frac{1}{3}\frac{cm}{ft}$

step 1

Find the dimensions of the square on a scale drawing

The area of a square is equal to

$A=b^{2}$

where

b is the length side of the square

$A=64\ cm^{2}$

$64=b^{2}$

$b=8\ cm$

step 2

Find the dimensions of the actual floor

Divide the length of the floor on the drawing by the scale drawing

$8/(1/3)=24\ ft$

step 3

Find the area of the actual floor

The area of a square is equal to

$A=b^{2}$

substitute

$A=24^{2}=576\ ft^{2}$

step 4

Find the ratio of the area in the drawing to the actual area

$\frac{64}{576}\frac{cm^{2}}{ft^{2}}$

Simplify

Divide by 64 both numerator and denominator

$\frac{1}{9}\frac{cm^{2}}{ft^{2}}$

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Step-by-step explanation:

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