All categories

2 years ago

Why does sin54°≈0.809≈cos36° in a right triangle?

Mathematics

1 answer:

allsm [11]2 years ago

7 0

9514 1404 393

Answer:

54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

Step-by-step explanation:

The answer explains itself.

The sum of angles in a triangle is 180°. When one of the angles is 90°, the sum of the other two angles is also 90°. That means those two acute angles are complementary (not supplementary).

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

You might be interested in

PLEASE HELP DUE IN 30 MINUTES !!!

ad-work [718]

Answer:

Step-by-step explanation:

I must be right because the slope is a positive 2 and has a y intercept

3 0

3 years ago

Read 2 more answers

What is the slope of the line containing (6, -7) and (5, -9)? A) 1 B) -2. C) 2 D) 16

zloy xaker [14]

Answer: C

Step-by-step explanation:

y2-y1/x2-x1

-9+7/5-6 = 2

7 0

3 years ago

What is the answer and how to solve it and give me the right answer

Keith_Richards [23]

Answer:

2/10 or in its simplest form 1/5

Step-by-step explanation:

there is 2 grey marbles so 2/10 (there is 10 marbles altogether)

so half of 2 is 1 and half of 10 is 5

so the answer is 1/5

7 0

2 years ago

Read 2 more answers

HELP ASAP!! 100 POINTS!! describe how you would plot the point (-4, 3)

fredd [130]

Answer:

Hi!

First you would start at -4 on the x-axis, then you would move up 3 spaces and put your point there.

The x-axis is the horizontal line, and the y-axis is the vertical line.

I hope this helps you!

6 0

3 years ago

Read 2 more answers

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late

Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

$\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)$

$\text{Price of the hat after an increase of 60\%}=20+(0.60*20)$

$\text{Price of the hat after an increase of 60\%}=20+12$

$\text{Price of the hat after an increase of 60\%}=32$

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

$\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)$

$\text{Price of the hat after sale of 10\%}=32-(0.10*32)$

$\text{Price of the hat after sale of 10\%}=32-3.2$

$\text{Price of the hat after sale of 10\%}=28.8$

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

$\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)$

$\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)$

$\text{Price of the hat after clearance sale}=28.8-11.52$

$\text{Price of the hat after clearance sale}=17.28$

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0

2 years ago