All categories

3 years ago

Give each trig ratio as a fraction in simplest form.

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

sin(D) = 20/29

D = arcsin(20/29)

D=43.60281897 °

cos( 43.60281897 °)= DF / 29

DF = 29*cos( 43.60281897 °)

DF = 21

sin(D) = 20/29

cos(D) = 21/29

tan(D) = 20 / 21

sin(E) = 21/29

cos(E) = 20/29

tan(E) = 21 / 20

You might be interested in

On average during the summer, a 30,000 cubic foot house costs $7 per day to cool, while a 25,000 cubic foot house costs $6.50 pe

Ber [7]

The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.

Step-by-step explanation:

The cost of cooling 30000 cubic foot house = $7

Cost per cubic foot = 7/30000

=$0.00023

The cost of cooling 25000 cubic foot house= $6.50

Cost per cubic foot=6.50/25000

= $0.00026

The house with 30000 cubic foot costs less to cool per cubic foot than the house with 25000 cubic foot.

3 0

3 years ago

Please help! I’ll mark brainliest

OLga [1]

The answer would be 6

8 0

3 years ago

Which system of equations below has infinitely many solutions? y = –3x 4 and y = –3x – 4 y = –3x 4 and 3y = –9x 12 y = –3x 4 and

Flura [38]

the equations y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions. option B is correct.

<h3>What is the linear system?</h3>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Condition for the parallel lines.

L1, ax + bx + c = 0

L2, dx + ey + f = 0

If $\rm \dfrac{a}{d} = \dfrac{b}{e} = \dfrac{c}{f}$ then lines have infinitely many solutions.

<h3>Which system of equations below has infinitely many solutions?</h3>

y = –3x + 4 and 3y = –9x + 12

On comparing we have

a = -3 , b = 1, and c = 4

d = -9 , e = 3, and f = 12

Then their ratio will be

$\rm \dfrac{1}{3} = \dfrac{-3}{-9} = \dfrac{4}{12}\\\\\rm \dfrac{1}{3} = \dfrac{1}{3} = \dfrac{1}{3}$

Hence y = –3x + 4 and 3y = –9x + 12 have infinitely many solutions.

Thus the option B is correct.

More about the linear system link is given below.

brainly.com/question/20379472

7 0

2 years ago

The graph shows the time and distance Mr. Patel has driven while on a business trip. What is the unit rate in miles per hour he

boyakko [2]

Answer:75. y/x = 75/1 = 75

Step-by-step explanation:

y/x = 75/1 = 75

7 0

3 years ago

In a circle with a radius of 7 feet, the radian measure of the central angle subtended by an arc with a length of 4 feet is . Th

ivann1987 [24]

We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians

the answer part 1) is 0.57 radians

part 2)
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²

the answer Part 2) is 14 ft²

3 0

3 years ago