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3 years ago

8

A cube has edge length 5in use a exponent to express volume

2 answers:

My name is Ann [436]3 years ago

4 0

5 cubed ( or an exponent of three )

SOVA2 [1]3 years ago

3 0

What exponents do you know that share names with different kinds of shapes? It may surprise you (or not) to discover that taking the <em>square</em> of a number and taking the <em>cube</em> of a number both derive their names from finding the space inside a square and a cube respectively. For squaring (as in x²) this corresponds to calculating the <em>area </em>of a square with side lengths x. For cubing (as in x³), it corresponds to calculating the <em>volume</em> of a cube with edge lengths x.

So, if we want to find the volume of a cube with edge length 5 in, we just need to find the value of 5³. (Keep in mind that our final units will be in in³)

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Find an equation of the plane passing through the point (0,0,6) perpendicular to x=1-t y=2+t z=4-2t

Kisachek [45]

Answer:

The equation of plane is x-y+z=12.

Step-by-step explanation:

It is given that the plane passing through the point (0,0,6) perpendicular to x=1-t y=2+t z=4-2t.

The given line is perpendicular to required plane, so coefficients of t represents the normal vector.

Normal vector is

$\overrightarrow {n}=$

If a plane passes through $(x_1,y_1,z_1)$ and having normal vector $\overrightarrow {n}=$ , then the equation of plane is

$a(x-x_1)+b(y-y_1)+c(z-z_1)=0$

$-1(x-0)+1(y-0)+(-2)(z-6)=0$

$-x+y-2z+12=0$

$-x+y-2z=-12$

Multiply both sides by -1.

$x-y+2z=12$

Therefore, the equation of plane is x-y+z=12.

6 0

4 years ago

A clock tower has a circular clock face with a circumference of 48π feet. What is the radius of the clock face ?

KatRina [158]

Answer:

r = 24 ft

Step-by-step explanation:

Circumference is given by

C = 2 * pi *r

We know that C = 48 pi

48 pi = 2 * pi * r

Divide each side by pi

48 pi /pi= 2 * pi * r/pi

48 = 2 r

Divide each side by 2

48/2 = 2r/2

24 = r

7 0

3 years ago

If a car can go 204 miles in 3 7/8 hours, how far can it go in 2 1/5 hours

Naya [18.7K]

Answer:

115.5

Step-by-step explanation:

the car is traveling at precisely 52.5 miles an hour

7 0

2 years ago

Please help me please I really need help

Luba_88 [7]

Answer:

See below

Step-by-step explanation:

The answer is attached

3 0

3 years ago

Ind the approximate increase in its area if its radius increases from mm to mm. [Recall that the area of a circle is A.]

nlexa [21]

Answer:

Increase in area of circle is $263.76$ square mm

Step-by-step explanation:

The actual question is

Find the approximate increase in its area if the radius increases from 20 mm to 22 mm.

Solution

The area of a circle of radius r is given by

$A = \pi r^2$

Area of circle of radius 20 mm is

$A_1 = \pi 20^2\\A_1 = 400\pi$ square mm

Area of circle of radius 22 mm is

$A_2 = \pi 22^2\\A_2 = 484\pi$ square mm

Increase in area of circle

$A_2 - A_1 = 484 \pi - 400 \pi \\A_2 - A_1 = 84 \pi \\A_2 - A_1 = 263.76$ square mm

7 0

3 years ago