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anastassius [24]
3 years ago
12

For circle Q, (DC) ̅ and (GC) ̅ are tangent line segments. Use the given information to solve for

Mathematics
1 answer:
luda_lava [24]3 years ago
6 0
Arc DB = 2 ( angle DAB ) = 2 (35) = 70 degrees
Arc DG = 2 (Arc DB) = 2 (150) =150 degrees

Arc DAG = 360 - Arc DG = 360 - 150 = 210 degrees

Angle DCG = (210 - 150) /2 = 30 degrees
Angle DCB = 30/2 = 15 degrees<span />
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Suppose Josh Borrows $2000 at an interest rate of 3% compounded each year. Assume that no payments are made on the loan.
True [87]

Answer:

a)2975

b)3450

Step-by-step explanation:

7 0
1 year ago
The area on a wall covered by a rectangular poster is 270 square inches. The length of the poster is 1.2 times longer than the w
forsale [732]

Answer:

Length = 18 in

Width = 15 in

Step-by-step explanation:

We have that the area of a rectangle is:

A = L * W

but L = 1.2 * W

A = 1.2 * (W ^ 2)

1.2 * (W ^ 2) = 270

(W ^ 2) = 270 / 1.2

W ^ 2 = 225

Therefore, W is equal to:

W = 225 ^ (1/2)

W = +/- 15, but only +15 makes sense

W = 15

Now for L:

L = 1.2 * 15

L = 18

A = 15 * 18 = 270 in ^ 2

4 0
2 years ago
The width x of your iris decreases from 4 millimeters to 2 millimeters when you enter a dark room. How many times greater is the
inysia [295]

Answer:

The area of the Iris is 4 times greater.

Step-by-step explanation:

Firstly, we have to realize that we cannot solve this problem without knowing the radius of the iris. because from the information given, the radius of the iris could well be the size of the galaxy and contract from width of 4mm to 2mm and we wouldn't know!

The average radius of the iris is 6mm, so we take this value.

Now, initially the width of the iris is 4mm, that means the radius of the pupil is:

6mm-4mm=2mm

Therefore it's area A is:

A=\pi r^2=\pi (2)^2=4\pi

When the iris contracts to 2mm, the radius of the pupil becomes:

6mm-2mm=4mm

Then it's area is A:

A=\pi r^2=\pi (4)^2=16\pi

To find how many times greater this final area is than the initial area, we just divide it by the initial area:

\frac{16\pi }{4\pi } =4

This is 4 times greater than the initial area.

3 0
3 years ago
ILL GIVE YOU BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN A circular walkway surrounds a fountain.The fountain alone has a diamete
Hoochie [10]

Answer:

Step-by-step explanation:

A_{circle}=\pi r^2\\\\A=\pi r_{walkway}^2-\pi r_{fountain}^2\\\\A=\pi(20^2-16^2)=244\pi

use a calculator fo find the value

5 0
3 years ago
Read 2 more answers
Number 8 and 9 pls, if u answer u get brainlist rank!
mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

8 0
2 years ago
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