3 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

1 answer:

kow [346]3 years ago

5 0

Answer:

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 = $\sqrt{2500}$ = 50 ( subtract 32 from both sides )

x = 18 → A

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Please answer this question

Bumek [7]

A) 5x^3 +2x - 1
Good luck.

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4 years ago

Divide these fractions. -7/2 ÷ -4/9. The correct answer is reduced to its simplest form and expressed as a mixed number.

amm1812

the answer is 7 1/8

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3 years ago

Is the volume of a triangular prism one-third the volume of a rectangular prism with the same base area and height?

Vlad [161]

Nope

Step-by-step explanation:

Volume of rectangular prism :

= Base Area × h = l × w × h

Volume of triangular prism :

= Base Area × h

Cuz the base area of triangular prism, the volume is :

(½ × l × w) × h

= ½ lwh

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3 0

3 years ago

sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th

blagie [28]

Answer:

$\frac{dv}{dt} =7239.168 cm/sec$

Step-by-step explanation:

From the question we are told that:

Rate $\frac{dh}{dt}=1cm$

Height $h=12cm$

Radius $r=4h$

Generally the equation for Volume of Cone is mathematically given by

$V=\frac{1}{3}\pi r^2h$

$V=\frac{1}{3}\pi (4h)^2h$

Differentiating

$\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}$

$\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1$

$\frac{dv}{dt} =7239.168 cm/sec$

7 0

3 years ago

-20 = -4x – 68 please solve it

Jet001 [13]

Answer:

x= -12

Step-by-step explanation:

move variable to left and change its sign

= 4x - 20 = -68

move constant to the right and change its sign

= 4x = -68 + 20

calucate the sum

= 4x = -48

divide both sides of the equation by 4

x= -12

7 0

4 years ago