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sesenic [268]
3 years ago
5

Answer I will cashapp you!!!

Mathematics
1 answer:
Mkey [24]3 years ago
8 0

Answer:

should be y= 4x + 24 let me know if it was wrong

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The exclamation point (!) on a billboard consists of a circle sector and circle. The radius of the sector is 9 ft, and the radiu
harina [27]

Answer:

  24.0 square feet

Step-by-step explanation:

The area of the sector is given by ...

  A = (1/2)r²θ . . . . . where θ is the angle in radians

The area of the circle is the same, with θ=2π, so is ...

  A = πr²

__

In this problem, the area of the sector is ...

  A = (1/2)(9 ft)²(24π/180) = 27π/5 ft² ≈ 16.9646 ft²

The area of the circle is ...

  A = π(1.5 ft)² = 9π/4 ft² ≈ 7.0686 ft²

Then the total area of the exclamation point is ...

  16.9646 +7.0686 ≈ 24.0 . . . ft²

The area is about 24.0 square feet.

8 0
3 years ago
4 Three intersecting lines form triangle BCE as shown below.
Lapatulllka [165]

Answer:

  • A, C, E

Step-by-step explanation:

<u>Options:</u>

A. m∠C + m∠E = m∠A

  • Correct. Exterior angle equals to sum of non-adjacent interior angles.

B.   m∠D + m∠F = m∠B

  • Incorrect. Exterior angles have greater value.

C. m∠B + m∠C + m∠E = 180°

  • Correct. Interior angles of a triangle sum to 180°

D. m∠B + m∠C + m∠D = 180°

  • Incorrect. Angles C and D sum to 180°

E. m∠A + m∠ B = m∠E + m∠F

  • Correct. Both sides of equation refer to straight angle.

F . m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F

  • Incorrect. Some of interior angles is not equal to sum of exterior angles.
5 0
2 years ago
Read 2 more answers
The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,
lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

For x < 10 minutes

z=\frac{x-\mu}{\sigma/\sqrt{n} }\\\\ z=\frac{10-11.2}{4.8/\sqrt{45} }= -1.68

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) =  0.0465

7 0
3 years ago
In the complex number system, which of the following is equal to
pogonyaev

Answer:

C) 122+154i

Step-by-step explanation:

(14-2i)(7+12i)\\\\(14)(7)+(14)(12i)+(-2i)(7)+(-2i)(12i)\\\\98+168i-14i-24i^2\\\\98+154i-24(-1)\\\\98+154i+24\\\\122+154i

Therefore, C is correct. Recall that i^2=-1

3 0
2 years ago
Read 2 more answers
) the top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. if the area of printed material on the pos
grin007 [14]
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)

Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm

The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.

_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
8 0
3 years ago
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