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2 years ago

What are the ratios for sin A and cos A? The diagram is not drawn to scale.

Mathematics

1 answer:

trapecia [35]2 years ago

6 0

Answer:

Step-by-step explanation:

Sin represents opposite/hypotenuse. Thus, when A is the reference angle, 21 is the measure of the opposite side (CB) and 29 is the measure of the hypotenuse (AB).

Cos represents adjacent/hypotenuse. Therefore, when A is the reference angle, 20 is the measure of the adjacent side (AC) and 29 is the measure of the hypotenuse (AB).

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Find the value of x. Segments that appear to be tangent are tangent. Round your answer to the nearest tenth.

Afina-wow [57]

Answer: 6.3

Step-by-step explanation:

3 0

2 years ago

A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ar

kiruha [24]

Answer:

The pool can contain 4521.6 gallons of water.

Step-by-step explanation:

Given:

The diameter of the cylindrical swimming pool = 16 feet.

And the height of the cylindrical swimming pool = 3 feet.

(1 ft³ = 7.5 gallons)

Now, to find the gallons of water the pool can contain.

So, we find the radius first:

Radius (r) = $\frac{Diameter}{2}$ = $\frac{16}{2} =8\ feet.$

Height (h) = 3 feet.

Now, to get the volume of swimming pool which is cylindrical in shape by putting formula (using the value of π = 3.14):

$Volume=\pi r^2h$

$Volume=3.14\times 8^2\times 3$

$Volume=3.14\times 64\times 3$

$Volume=602.88\ feet^3.$

Thus, getting the volume of pool 602.88 feet³.

As, given 1 ft³ = 7.5 gallons.

Now, to get the gallons of water the pool can contain we multiply the volume of pool by 7.5:

$602.88\times 7.5$

$=4521.6\ gallons.$

Therefore, the pool can contain 4521.6 gallons of water.

7 0

3 years ago

Denise and Donna want to exchange secrets from across a crowded whispering gallery. Recall that a whispering gallery is a room w

Yuri [45]

Answer:

34 feet

Step-by-step explanation:

From the question, we are told that:

If the room is 30 feet high at the center and 90 feet wide at the floor,

Entire width of the room = 90 feet = 2a

a = 90/2 = 45

Height of the room = b = 30 feet

Foci (c)² = a² - b²

c = √a² - b²

c = √45² - 30²

c = √1125

c = 33.541019662 feet

Approximately to the nearest whole number = 34 feet

Denise and Donna should each stand 34 ft from the outer wall so that they will be positioned at the foci of the ellipse

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3 years ago

HELP PLZZZZ!!!!!!!!!!!!!!

Sergio039 [100]

Answer:

Step-by-step explanation:

6 0

2 years ago

i o n f e h y=x3- 3x2- 9 x + 2 The largest and smallest values of the function [ - 2 ; 4 ]At intervals.

Oksana_A [137]

Answer:

Step-by-step explanation:

Given the function :

y=x³ - 3x² - 9x + 2. The largest and smallest values of the function at interval [-2, 4]

We substitute x values in the interval (-2 to 4) into the equation and solve for y

At x = - 2

y = (-2)³ - 3(-2)² - 9(-2) + 2 = 0

At x = - 1

y = (-1)³ - 3(-1)² - 9(-1) + 2 = 7

At x = 0

y = (-0)³ - 3(-0)² - 9(-0) + 2 = 2

At x = 1

y = (1)³ - 3(1)² - 9(1) + 2 = - 9

At x = 2

y = (2)³ - 3(2)² - 9(2) + 2 = - 20

At x = 3

y = (3)³ - 3(3)² - 9(3) + 2 = - 25

At x = 4

y = (4)³ - 3(4)² - 9(4) + 2 = - 18

Function is greatest at

7 0

2 years ago