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STatiana [176]
1 year ago
5

Find the area of the shaded region below. Give your answer in terms of T. 12m 5m

Mathematics
1 answer:
Step2247 [10]1 year ago
7 0

The area of the shaded region is [(169π/4)-60]m².

  • The length of the rectangle is 12 m.
  • The breadth of the rectangle is 5 m.
  • The area of the rectangle = length * breadth.
  • The area of the rectangle = 12 * 5
  • The area of the rectangle = 60m²
  • Let h be the diagonal of the rectangle.
  • Using the Pythagorean theorem,
  • h² = 12² + 5²
  • h² = 144 + 25
  • h² = 169
  • h = √169
  • h = 13
  • The diagonal of the rectangle is also the diameter of the circle.
  • Let r be the radius of the circle.
  • 2r = 13
  • r = 13/2m
  • The area of the circle is πr².
  • The area of the circle = π(13/2)²
  • The area of the circle = (169π/4)m²
  • The area of the shaded region equals the area of the circle minus the area of the rectangle.
  • The area of the shaded region = [(169π/4) - 60]m²

To learn more about area, visit :

brainly.com/question/27683633

#SPJ9

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scoundrel [369]

The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

Y =x^2-23x^2 + 18x+40

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

x^2-23x^2 + 18x+40 = 0

Then after solving it become

-22x^2 + 18x+40 = 0

Then take negative sign common from it then

22x^2 - 18x - 40 = 0

Make the factors of this quadratic equation

22x^2 + 22x -40x - 40 = 0

Now take common values 22x and 40 from the equation then

22x (x + 1) -40 (x + 1) = 0

Then it become

(22x - 40) (x + 1) = 0

Then the values of x become from the equation is

x = -1, x= 40/22

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

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8 0
1 year ago
Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 5 units
Allisa [31]

Answer:

  C.  y = x^2 -10x +26

Step-by-step explanation:

The translated function is ...

  g(x) = f(x - right) + up

  g(x) = f(x -5) +1

  g(x) = (x -5)^2 +1

  g(x) = x^2 -10x +26

In "y =" form, this is ...

  y = x^2 -10x +26 . . . . matches choice C

6 0
3 years ago
Find all zeros of the polynomial function. g(x) = x^4 + 2x^3 + 7x^2 + 2x - 8
tester [92]

Answer:

x≈−

1.32047132, 0.82496696

Step-by-step explanation:

6 0
3 years ago
Redon is 6ft 2in. tall, and his shadow is 4ft 1in. long . At the same time,a building casts a shadow that is 19ft 10in. long . E
Colt1911 [192]
Can you help on my I am taking a test pls!
5 0
3 years ago
Question 7: Help Me Please
ehidna [41]

Answer:

m∠UQT = 52°
m∠UTQ = 42°
x = 1

Step-by-step explanation:

∠UQT is an alternate interior angle of ∠RSQ

Therefore, ∠UQT is 52°

∠UTQ is an alternate interior angle of ∠URS

Therefore, ∠UTQ is 42°

The diagonals of a parallelogram are congruent, so 4x + 1 is 5

  • 4x + 1 = 5
  • 4x = 4
  • x = 1

-Chetan K

7 0
3 years ago
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