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Alik [6]
3 years ago
15

1. If a circle has a diameter of 18 inches, what is the radius? *

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

9 inches

Step-by-step explanation:

A circle has a diameter of 18 inches

The radius of the circle can be calculated as follows

Radius= diameter/2

= 18/2

= 9 inches

Hence the radius of the circle is 9 inches

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Find the y-intercept of 2x - y = -6.
zysi [14]
B is correct 12 for find the y-intercept of 2x-y=-6
3 0
3 years ago
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What is the solution to the equation 9^(x - 1) = 27?
s344n2d4d5 [400]
9^{x - 1} = 27 \\ln(9^{x - 1}) = ln(27) \\(x - 1)ln(9) = ln(27) \\x - 1 = \frac{ln(27)}{ln(9)} \\x = \frac{ln(27)}{ln(9)} + 1 \\x = 2.5

Thhe answer is equal to A. x = 2.5.
5 0
3 years ago
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Gabriel is designing equally sized horse stalls that are each in the shape of a rectangular prism. Each stall must be 9 feet hig
Andrews [41]

Answer:

The equation is 9x(x+2)=1,080.

The solution of the equation is x=10.

Step-by-step explanation:

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Let x ft be the widht of the stall, then the length of the stall is x+2 ft. If each stall must be 9 ft high, then the volume of the stall is V=x\cdot (x+2)\cdot 9=9x(x+2)\ ft^3.

The volume of each stall is 1,080\ ft^3, then

9x(x+2)=1,080,\\ \\x(x+2)=120,\\ \\x^2+2x-120=0,\\ \\D=2^2-4\cdot (-120)=4+480=484=22^2,\\ \\x_{1,2}=\dfrac{-2\pm 22}{2}=-12,\ 10.

The width cannot be negative, thus, x=10.

5 0
3 years ago
A car travels 78 miles on 3 gallons of gasoline. How many miles can the car travel on one gallon of gasoline?​
babymother [125]

Answer:

26 miles.

Step-by-step explanation:

you want to divide 78 by 3.

3 0
3 years ago
The shape of a quartic with a negative leading coefficient most closely resembles what letter
Sonbull [250]

Answer:

M

Step-by-step explanation:

A quartic equation/function is a fourth degree polynomial. The general form is:

ax^4+bx^3+cx^2+dx+e

We can put any values for the variables a, b, c, d, and e.

The general shape of a fourth degree polynomial is in the shape of the English letter "W".

The leading coefficient is the value of "a".

If a is negative, the curve gets upside down, so a "W" going upside down would resemble an "M".

A graph of a quartic with negative leading coefficient is shown attached. The equation is:

-x^{4}+2x^{3}+x^{2}-2x-2

4 0
4 years ago
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