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4 years ago

A shoe box in the shape of a nght rectangular prism has a base that measures 7 inches by 12 inches and is 5 inches high

Mathematics

1 answer:

kodGreya [7K]4 years ago

8 0

Answer:

the volume is 420 cubed inches

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Find the area the sector.arc circle 10A. 16π mi²B. 34π/3 mi²C. 5π/3 mi²D. 9π mi²

erastova [34]

Answer: $\frac{14\pi}{3}mi^2$ Explanation:

The area of a sector is given as:

$\begin{gathered} Area\text{ = }\frac{\theta}{360}\times\pi r^2 \\ \\ \end{gathered}$

The sector angle, θ = 360° - 255°

θ = 105°

The radius, r = 4 mi

Substitute these values into the equation to solve for the area

$\begin{gathered} Area=\frac{105}{360}\times\pi\times4^2 \\ \\ Area=\frac{105}{360}\times16\pi \\ \\ Area=\frac{7}{24}\times16\pi \\ \\ Area=\frac{7}{3}\times2\pi \\ \\ Area=\frac{14\pi}{3}mi^2 \\ \end{gathered}$

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1 year ago

Given that the measure of ∠x is 120°, and the measure of ∠y is 60°, find the measure of ∠z.

Alexxx [7]

Answer:

60 degrees

Step-by-step explanation:

angle y is vertically opposite to angle a, (we can call it.)

angle x is supplementary to the other angle inside the triangle, which we can call angle b.

so, angle a is 60 degrees, as vertically opposite angles are equal

angle b is 60 degrees as supplementary angles = 180

based of the sum of angles in a triangle is 180 theorem;

60+60+unknown= 180

so unknown is 60 degrees

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3 years ago

29 90" 90° 15 Missing Angle = Missing Angle =

sergij07 [2.7K]

It would be 68 degrees for each angle

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3 years ago

In 2009, Usain Bolt set the world record for sprinting 100 m in approximately 9 3/5 seconds.

trapecia [35]

Answer:

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