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blsea [12.9K]
3 years ago
9

What is the value of x using the Pythagorean theorem?

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0
A^2+b^2= c^2

Plug in the points. the longest side is always c.

95.2^2+ b^2= 168^2.

Square the numbers.

9063.04+ b^2= 28224

Subtract 9063.04 on both sides.

b^2= 19160.96

Find the square root. 

b= 138.423119456

Or, b= 138.4 (rounded down)

I hope this helps!
~kaiker
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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.
Anton [14]

Answer:

Height of cylinder is \frac{4}{5}\ ft.

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

R = \dfrac{D}{2}

So, radius, R = \frac{6}{2} \Rightarrow 3 feet

Let height of cylinder be h feet.

Formula for volume of cylinder is given by:

V = \pi R^{2} H

Where, R is the radius of base of cylinder

and H is the height of cylinder

We are given that,

V = \dfrac{36 \pi}{5} ft^{3}

Using formula for volume, V = \pi R^{2} H

\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft

Hence, Height of cylinder is \frac{4}{5}\ ft.

7 0
2 years ago
The box on the left is 8 inches wide and 8 inches tall what is the surface area of the box
TiliK225 [7]

Answer:

384 inches

Step-by-step explanation:

8 x 8 = 64

one face of the box is 64

6 faces of the box would be 384

6 0
3 years ago
Read 2 more answers
A right rectangular prism has a length of 10 centimeters, a width of 2.5 centimeters and a height of 0.9 centimeters what is the
nikdorinn [45]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{22.5 \:  {cm}^{3} }}}}}

Step-by-step explanation:

Given,

Length of a rectangular prism ( l ) = 10 cm

Width of a rectangular prism ( w ) = 2.5 cm

Height of a rectangular prism ( h ) = 0.9 cm

Volume of a rectangular prism ( V ) = ?

<u>Finding </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>rectang</u><u>ular</u><u> </u><u>prism</u>

\boxed{ \bold{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}

\dashrightarrow{ \sf{volume = 10 \times 2.5 \times 0.9}}

\dashrightarrow{ \sf{volume = 22.5 \:  {cm}^{3} }}

Hope I helped!

Best regards! :D

7 0
3 years ago
Find the arc length of the bolder arc<br> A) 283.5 mi<br> C) 733.0 mi<br> B) 10.2 mi<br> D) 73.3 mi
statuscvo [17]

Answer:

d its d :)

Step-by-step explanation:

i already did that

7 0
3 years ago
The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minut
anygoal [31]

It is given in the question that

The school is 625 meters far from Alex house. It took him 15 minutes to go from home to school, and run back to home in 10 minutes.

Total distance is 625 meters and total time taken is

(10+15) minutes=25minutes

Average speed is

\frac{total \ distance \  travelled}{total \ time \ taken}

= \frac{625}{25}meter/minute = 25 meter/minute

5 0
3 years ago
Read 2 more answers
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