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hram777 [196]
3 years ago
5

The scale of a drawing is 1 in : 25 yd. Find the length on the drawing for the actual length: 375 yd

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0
15 in
because
25 yd. :1 in.
375 yd. : 15 in.
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5-4-3-2
Ludmilka [50]

Answer:

\textsf{1)} \quad x^2+y^2+4x-2y-4=0

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

where:

  • (a, b) is the center
  • r is the radius

From inspection of the graph:

  • center of the circle = (-2, 1)
  • radius of the circle = 3

Substitute the found values into the formula:

\implies (x-(-2)^2+(y-1)^2=3^2

\implies (x+2)^2+(y-1)^2=9

Expand and simplify:

\implies (x+2)^2+(y-1)^2=9

\implies x^2+4x+4+y^2-2y+1=9

\implies x^2+y^2+4x-2y+5=9

\implies x^2+y^2+4x-2y-4=0

Learn more here:

brainly.com/question/27783217

3 0
2 years ago
Read 2 more answers
Please please Help! 8 points!
Step2247 [10]

Answer:

  1. area ≈ 59.441 in²
  2. lateral area ≈ 352.671 in²
  3. surface area ≈  471.553 in²

Step-by-step explanation:

1. The area of the regular polygon base of the prism can be found from the formula ...

  A = (nr²/2)sin(360°/n) . . . . where r is the radius and n is the number of sides

Filling in the numbers and doing the arithmetic gives ...

  A = (5·5²/2)sin(72°) ≈ 59.441 . . . square inches

__

2. The lateral area is the product of the height and the perimeter. The perimeter of the regular polygon can be found from ...

  P = 2nr·sin(180°/n) = 50sin(36°) ≈ 29.389 . . . inches

Then the lateral area is ...

  LA = Ph = (29.389 in)(12 in) = 352.671 in²

__

3. The total area is the area of the two bases together with the lateral area:

  S = 2·(base area) + (lateral area) = 2(59.441 in²) + 352.671 in²

  S = 471.553 in²

5 0
3 years ago
If f(x)=5x-25 and g(x) = 1/5x+5 which expression could be used to verify g(×) is the inverse of f(×)
Gelneren [198K]

Answer:

The  expression could be used to verify g(x) is the inverse of f(x) is letter b which is 1/5(5x-25)+5

Step-by-step explanation:


4 0
3 years ago
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75. Simplify the expression: -2x(4x^2 - 5x + 3)
Karolina [17]

-2x(4x² - 5x + 3)    Distribute/multiply -2x into (4x² - 5x + 3)

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Your answer is the 3rd option

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Which number, when raised to the power of 5, equals 2?
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1.148698

Step-by-step explanation:

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