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Aliun [14]
3 years ago
8

Find the center and radius of the circle (x+3)^2+(y-1)^2=81

Mathematics
1 answer:
sasho [114]3 years ago
5 0

The equation of a circle is written as ( x-h)^2 + (y-k)^2 = r^2

h and k is the center point of the circle and r is the radius.

In the given equation (x+3)^2 + (y-1)^2 = 81

h = -3

k = 1

r^2 = 81

Take the square root of both sides:

r = 9

The center is (-3,1) and the radius is 9

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Xin leans a 26-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal dista
defon

The ladder and the wall it leans on are illustrations of right triangle

The horizontal distance from the base of the ladder is 5.41 feet

<h3>How to determine the horizontal distance?</h3>

The given parameters are:

Length (L) = 26 feet

Angle of elevation (θ) = 78 degrees

The horizontal distance (D) is calculated using the following cosine ratio

cos(θ) = D/L

Substitute known values

cos(78) = D/26

Make D the subject

D = 26 * cos(78)

Multiply

D = 5.41

Hence, the horizontal distance from the base of the ladder is 5.41 feet

Read more about right triangles at:

brainly.com/question/2437195

5 0
2 years ago
A rectangular pyramid was sliced parallel to its base. What is the shape of the cross section
nignag [31]

<u>Answer:</u>

Trapezoid is the shape of the cross section of a rectangular pyramid.

<u>Step-by-step explanation:</u>

We are given a rectangular pyramid was sliced such that it becomes parallel to its base. We are to determine the shape of the cross section.

Slicing the pyramid with rectangular pyramid will form a trapezoid as a cross section which will be parallel to the base of the pyramid.

Refer to the figure below for better understanding.

4 0
3 years ago
Am I correct on number 3? If not whats the correct answer? And what is the answer for number 4? Will be marking brainliest!!​
timama [110]

Answer for number 4 is \frac{\bold2}{\bold3} hour.

Step-by-step explanation:

Maximum hour spent for all homework (English homework + math homework) is 2 hours.

Let us assume the hours spent for English homework be 'e'.

It is given that:

(Hours spent for math homework) = 2 × (Hours spent for English homework)

Hours spent for math homework = 2 × e = 2e

Total hours spent = (Hours spent for math homework) + (Hours spent for English homework)

Total hours spent = 2e + e = 3e

2 = 3e

3e = 2

∴ e = \frac{\bold2}{\bold3}

Therefore number of hours spent on English homework is equal to \frac{\bold2}{\bold3} hours.

8 0
3 years ago
5(n+1) = 2n + 20 can someone tell me the answer and explain
finlep [7]

Answer:

n=15

Step-by-step explanation:

5(n+1)=2n+20

U start by expanding the first term which will give you 5n+5

Then after that u collect like terms giving u

5n-2n=20-5

Finally u evaluate it giving u

n=15

8 0
3 years ago
Read 2 more answers
What is the multiplicative inverse 23/7?​
Elena-2011 [213]

Answer:

7/23

Step-by-step explanation:

6 0
2 years ago
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