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3 years ago

BRAINLIEST PLUS 22 POINTS

1 answer:

6 0

Hi there!

Angles that are complementary add up to 90. We know that in order to find the value of x, we'll need to create an equation. This equation would be (x + 15) + 48 = 90. This is because, together, the two angles must add up to 90.

ANSWER:
D - (x + 15) + 48 = 90

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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PLEASE HELP! I am doing Imagine Math and I need help with this question!

Vaselesa [24]

The bottom left option is when it is reflected over the x axis, the second to last option on the left is when it is reflected of the y axis, and the middle option is when it is reflected over the line y = x

Hope this helps :)

5 0

2 years ago

find the volume of a cylinder if the volume of the cone is 120 cubic inches with the same base and height

8090 [49]

Answer:

Volume of cylinder = 360.010cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V - volume

π - pie

r - radius

h - height

Given

V = 120 inches cubic

π - 3.142

120 = 3.142 * r^2 * h/3

120 = 3.142r^2h/3

120 = 3.142/3 * r^2h

120 = 1.0473r^2h

r^2h = 120 / 1.0473

= 114.580

Make h the subject of the formula

h = 114.580 / r^2

Gotten the value for h, substitute h into the formula for volume of a cylinder

Since the cone and the cylinder has the same base and height

V = πr^2h

h = 114.580/r^2

π - 3.142

V = 3.142 * r^2 * (114.580/r^2)

V = 3.142 * r^2 * 114.580/r^2

r^2 divides r^2

V = 3.142 * 114.580

V = 360.010 cubic inches

5 0

3 years ago

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with a vertex of 4, negative 2 What is the

katrin [286]

Answer:

k = -2

Step-by-step explanation:

f(x) = (x − h)² + k

(h, k) is the (x, y) coordinate of the vertex

For a vertex of (4, -2)

h = 4

k = -2

7 0

3 years ago

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0

3 years ago

If a total amount is 5 7/8 and 6 people need to be fed, how much is a serving size?

PolarNik [594]

Answer:

47/48

Explanation:

Since 5 7/8 is so close to 6, it is easier to work this problem by considering the difference.

The serving size is 1/6 of the total amount, so you want to find ...

... (5 7/8) × (1/6)

Following the observation above, we can compute it as ...

... (6 - 1/8) × (1/6) = (6/6) - (1/8)×(1/6)

... = 1 - 1/48

... = 47/48

5 0

3 years ago