The dog is able to run around in a circle with a radius of9 ft.
The area of a circle is A = pi r^2
A = (3.14) (9)^2
A= (3.14)(81)
A= 254.34 sq ft
Answer:
V = 118 in³
Step-by-step explanation:
The volume of a cone of radius r and height h is V = (1/3)(π)(r^2)(h).
In this case, the volume is V = (1/3)π(3 in)^2·(6 in), or π(18 in³)
Using 3.14 as the approximate value of π, we get V = 118 in³
Answer:
m < amc = 54°
Step-by-step explanation:
< amb and < bmc are complementary angles whose sum equals 90°.
Therefore, to find the value of 2x°, we must first solve for x.
We can establish the following equality statement:
< amb + < bmc = < amc
< 2x° + (x + 9)° = 90°
Combine like terms:
2x° + x° + 9° = 90°
3x° + 9° = 90°
Subtract 9 from both sides:
3x° + 9° - 9° = 90° - 9°
3x = 81°
Divide both sides by 3 to solve for x:
3x/3 = 81°/3
x = 27°.
Since x = 27°, substitute its value into 2x° to find m < amc:
2x° = 2(27°) = 54°
Therefore, m < amc = 54°
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Answer: 90
90 is a composite number because:
4 x 15 = 90
10 x 9 = 90
A composite number has more than two factors.
Hope this helps!
Answer: y < 3x -4
Step-by-step explanation:
We know two points of line: (0,-4) and (1,-1)
Therefore, we can find the slope: 3/1.
We know the y intercept.
Dashed line means the inequality is not apart of the region.
y < 3x-4
