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andrew11 [14]
2 years ago
5

Write the rate as a unit rate. 44 points in 4 quarters

Mathematics
1 answer:
Margaret [11]2 years ago
3 0

Answer:

44 p points in 4 quarters = llets per Qtr.

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I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha
Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = \frac{\theta}{360}(\pi r^{2})

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = \frac{60}{360}(\pi) (10^{2})

                                       = 52.36 in²

Area of equilateral triangle BCD = \frac{\sqrt{3} }{4}(\text{Side})^2

                                                      = \frac{\sqrt{3} }{4}(10)^2

                                                      = 25\sqrt{3} in²

                                                      = 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

                                                             = 9.06 in²

Area of sector CAD = \frac{90}{360}(\pi)(\sqrt{50})^2

                                 = 39.27 in²

Area of right triangle CAD = \frac{1}{2}(\text{Base})(\text{Height})

                                            = \frac{1}{2}(\text{AC})(\text{AD})

                                            = \frac{1}{2}(\sqrt{50})(\sqrt{50})

                                            = 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

                                                                         = 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

                                                                = 23.33 in²

8 0
2 years ago
Write a cosine equation with period 8 and amplitude 2
forsale [732]
Standard Equation for trig function: y = A cos (B (x - H))+ K
*Here, we are just dealing with A (amplitude) and B (period)
Period = 2π/ b

8 = 2π/ b
Solve for b: 2π/8 or π/4

Equation: y = 2 cos (π/4 (x))
8 0
3 years ago
The sum a 8 and a number h is 12
Artyom0805 [142]
H would equal to 4 (8+4=12)
7 0
2 years ago
Read 2 more answers
Find the derivative dy, dx for y equals the quotient of the quantity x cubed minus 5 times x and the quantity x squared minus 1.
Elza [17]
Using the quotient rule  

dy/dx  =  (x^-1) * (3x^2 -5 ) - (x^3 - 5x) * 2x
              ----------------------------------------------
                              (x^2 - 1)^2

You are correct
7 0
2 years ago
A rectangular kitchen is 4 meters longer than it is wide. If the area of the kitchen is 192 square feet meters, how many meters
Lunna [17]
Lets x = width
length = x + 4 (4 meters longer than wide)

A = L * W
192 = x ( x +4)
192 = x^2 + 4x
x^2 + 4x - 192 = 0
(x +16)(x-12) = 0
 x - 12 = 0, x = 12
 x + 16 = 0, x = -16
so width x = 12
length = 12 + 4 = 16 (4 meters longer than wide)

answer. J
16
3 0
2 years ago
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