All categories

2 years ago

PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!!!

Mathematics

1 answer:

Gennadij [26K]2 years ago

4 0

Answer:

1) 27.374

2)9.177

Step-by-step explanation:

1) To get the value of x , we use the appropriate trigonometric ratio

From what we are given;

we have the hypotenuse ( the side facing the right angle) and the adjacent

The trigonometric identity to use here is the cos

The cos of an angle is the ratio of the adjacent to the hypotenuse

cos 64 = 12/x

x = 12/cos 64

x = 27.374

2) Here, we are given the hypotenuse and the opposite

The trigonometric ratio to use here is the sine

the sine of an angle is the ratio of the opposite to the hypotenuse

thus, we have it that;

sin 35 = x/16

x = 16 sin 35

x = 9.177

You might be interested in

In circle K, what is the value of x? x = 30° x = 25° x = 20° x = 15º A triangle inscribed in a circle having one side as diamete

mrs_skeptik [129]

Answer:

x = 15°

Step-by-step explanation:

The segment is a diameter, So let us assume the part in which there lies the triangle as a semicircle.

=> A triangle inscribed in a semi-circle will always have one of its angle equal to 90

=> So the angle (not 75 and x) is 90 degrees.

=> To find the value of x, we'll subtract rest of the angles from 180 degrees (because the interior angles of a triangle add up to 180°)

So,

=> x = 180-90-75

=> x = 15°

8 0

2 years ago

William went to the supermarket with $15.00 in his pocket.

neonofarm [45]

Answer:

Steaks shampoo cheese

8 0

2 years ago

Help me please lol I don’t understand

satela [25.4K]

Dhudhejaiwiwiwiwjrjrjririr

3 0

2 years ago

Gretchen finished her first lap in the 200 m freestyle event in 28.78 seconds. She completed the second lap in 31.31 seconds. By

Ray Of Light [21]

Answer:

her time increased 2.53 seconds

Step-by-step explanation:

subtract 28.78 from 31.31 to get how much her time increased.

8 0

2 years ago

Planet Fitness charges a one-time application fee of $50 plus $30 per session for a

Vsevolod [243]

Answer:

When the number of sessions is equal to 10, the total cost is the same in the two plans

Step-by-step explanation:

Let

y ---> the total cost

x ---> the number of sessions

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Planet Fitness

we have

The slope is equal to

$m=\$30\ per\ session$

The y-intercept or initial value is equal to

$b=\$50$

substitute

$y=30x+50$ ----> equation A

Gold's Gym

we have

The slope is equal to

$m=\$10\ per\ session$

The y-intercept or initial value is equal to

$b=\$250$

substitute

$y=10x+250$ ----> equation B

Equate equation A and equation B

$30x+50=10x+250$

solve for x

$30x-10x=250-50\\20x=200\\x=10$

therefore

When the number of sessions is equal to 10, the total cost is the same in the two plans

6 0

2 years ago