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Gnesinka [82]
4 years ago
11

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

if β < α. sin(7x − 15) = cos(3x + 5)
Mathematics
1 answer:
miskamm [114]4 years ago
8 0
We know that
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90
therefore
(7x-15)+(3x+5)=90-----> 10x-10=90----> 10x=100----> x=10°
so
7x-15------> 7*10-15----> 55°
3x+5------> 3*10+5----> 35°

we know that
β < α
therefore

the answer is
β =35°
α=55°
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Given that f ( x ) = 2 x − 3 and g ( x ) = 2 x , evaluate f ( f ( 3 ) )
Anna [14]

Answer:

3

Step-by-step explanation:

f(3) = 2*3 -3

= 6-3=3

f(f(3)) = f(3)

so again,

f(3) = 2*3 -3

= 6-3= 3

4 0
3 years ago
At a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 36 m
Degger [83]

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Z score is given by:

z = (raw score - mean) / standard deviation

Given mean of 36 minutes and a standard deviation of 3 minutes.

For x = 32:

z = (32 - 36)/3 = -1.33

For x = 37:

z = (37 - 36)/3 = 0.33

P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981

The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%

Find out more on equation at: brainly.com/question/2972832

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7 0
2 years ago
I have a past due balance of $87.50 and my new charges are $75.00. I was also charged a late fee of 15% of my past due balance.
Kitty [74]
Past due balance = $87.50
Late fee = 15% of $87.50 = 0.15*87.50 = $13.125
New charges = $75.00

New total = 87.50 + 13.125 + 75 = $175.625

Answer: The new total is $175.63
8 0
3 years ago
Read 2 more answers
PLEASE HELP
Lina20 [59]

Answer:

(0 , 3)

Step-by-step explanation:

simplify the equation

y = \frac{3}{2}x + 3

7 0
4 years ago
The largest jaw breaker in a store is spherical with a radius of 2 in, and sells for $4.00. A
maw [93]

Answer:

$36

Step-by-step explanation:

1. Determine the surface area of the  largest jaw breaker

Surface area of a sphere = 4πr²

4 x 3.14 x 2² = 50.24in²

2. Determine the surface area of the new jaw breaker

4 x 3.14 x 6² = 452.16 in²

3. Determine the cost per area

4/ 50.24

4. Determine the price for the new jaw breaker

4/ 50.24 x 452.16 = $36

5 0
3 years ago
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