16. The number of miles a car can be driven depends on the number of gallons in its tank. The

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

Step-by-step explanation:

a cheap 22 * 22 is 44 so the answer should be 44 please don't trust me if I'm wrong I'm using the voice thing so yeah

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In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

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1 year ago

What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?

anygoal [31]

I will explain step by step how to solve for x

Remove the parenthesis using distributive property
1.5(x + 4) - 3 = 4.5(x - 2)
1.5(x) + 1.5(4) = 4.5(x) - 4.5(2)
1.5x + 6 = 4.5x - 9

Combining like-terms. Move the terms whose variable x to the left side, and move constants to the right side. Plus sign will become substract sign after being moved.
1.5x + 6 = 4.5x - 9
1.5x - 4.5x = -9 - 6
-3x = -12

Move -3 to the right side to solve for x. Multiplication becomes division after being moved to the other side
-3x = -12
x = -12/-3
x = 4

The value of x is 4

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3 years ago

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SCORPION-xisa [38]

Answer:

y = 2x + 3

Step-by-step explanation:

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