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WARRIOR [948]
3 years ago
8

HELP PLZ

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

no 12,5,12

Step-by-step explanation:

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Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)
lozanna [386]
Standard equation of a circle: <em>(x-h)² + (y-k)² = r²</em> where <em>(h, k)</em> is the center and <em>r </em>is the radius. In the case of our equation here, <em>(x-5)² + (y+3)² = 25</em>, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

Distance = \sqrt{(-3-3)^2+(5-2)^2}

Distance = \sqrt{(-6)^2+3^2}

Distance = \sqrt{36+9}

Distance = \sqrt{45}\approx6.7082

6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}
8 0
3 years ago
How much should you invest now at 7 1/4% simple annual interest in order to earn $190 interest in 4 months?
vlabodo [156]

Answer:

so principal amount is $7862.07

Step-by-step explanation:

Given data

rate = 7*1/4 % = 29/4 %

interest = $190

time = 4 months = 4/12 year

to find out

principal

solution

we know the simple interest formula  i.e.

interest = ( principal × rate  × time ) /100             ..................1

now put all value rate time and interest in equation 1 we get interest here

interest = ( principal × rate  × time ) /100  

190 =  ( principal × 29/4  × 4/12 ) /100  

principal = 190 × 12  ×100 /   29

principal = 7862.068966

so principal amount is $7862.07

8 0
3 years ago
You cut a 54-inch rope into four pieces. Twoof the pieces are the same length, a thirdpiece is twice as long as each of the twoe
antiseptic1488 [7]

Let's use the variable x to represent the length of the first and second pieces.

If the third piece has twice the length of the first and second, its length is 2x.

If the fourth piece has half the length of the first and second, its length is 0.5*x.

Adding all four pieces and equating to 54 inches, we have:

\begin{gathered} x+x+2x+0.5x=54 \\ 4.5x=54 \\ x=\frac{54}{4.5} \\ x=12 \end{gathered}

So the length of each piece is:

12 inches, 12 inches, 24 inches and 6 inches.

5 0
1 year ago
Iliana’s math grade increased from 65 to 86. Fiona’s math grade increased from 70 to 80. What is the difference, rounded to the
boyakko [2]
I-F=100(86-65)/65 - 100(80-70)/70 = 18%

Iliana's increase was 18% more than Fiona's increase.
5 0
3 years ago
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a man wanted to paint a cylinder gas tank. What amount of surface area will need to be covered if it had a radius of 14 inches a
Over [174]

Answer:

224

Step-by-step explanation:

  1. in a cylinder  the  only sides that would actually count is the top and bottom
  2. you would multiply the top and bottom.
  3. 14 x 16 = 224
  4. if I'm wrong let me know
5 0
3 years ago
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