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Nadya [2.5K]
3 years ago
8

Last year a business had profits of $8,000.This year its profits are 5 times as great.This are this year's profits?

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0
$40,000 in profits this year
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The base of a right rectangular prism is 20 cm2. If the height of the prism is 5 cm, what is its volume?
tekilochka [14]
General formula to find volume of prism
v = base area × height

Input the numbers to the formula
v = base area × height
v = 20 × 5
v = 100

The volume is 100 cm³
6 0
3 years ago
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What is the perimeter of parallelogram WXYZ
Kruka [31]
Graph? Or diagram? .................
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A computer hard drive contains a circular disk with diameter 2.5 inches and spins at a rate of 7200 RPM (revolutions per minute)
PIT_PIT [208]

Now to solve this problem, all we have to remember is the formula for calculating the linear speed given the radial speed, that is:

v = r w

where,

v = is the linear velocity or linear speed

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w = is the radial velocity (must be in rad per time) = 7200 rev per minute

 

Calculating for v:

v = 1.25 inches (7200 rev per minute) (2 π rad / 1 rev)

v = 56,548.67 inches / minute

 

Converting to miles per hour:

v = 56,548.67 inches / minute (1 mile / 63360 inches) (60 min / hour)

<span>v = 53.55 mile / hour</span>

4 0
3 years ago
Solve each system substitution 6x - 12y=24 And -x - 6y=4
almond37 [142]
6x-12y=24
x=-6y-4
6(-6y-4)-12y=24
-36y-24-12y=24
-48y=48
y=-1
6x-12(-1)=24
6x+12=24
6x=12
x=2

6(2)-12(-1)=24
12+12=24
 24=24 true
and
-(2)-6(-1)=4
-2+ 6=4
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4 0
3 years ago
Help, I don’t know what I’m doing<br> Trigonometry
spin [16.1K]

Answer:

\frac{\sqrt{3} }{6}

Step-by-step explanation:

using the 30- 60- 90 triangle for exact values , then

tan60° = \sqrt{3} , and

cot60° = \frac{1}{tan60} = \frac{1}{\sqrt{3} }

cos60° = \frac{1}{2}

cot60° cos60°

= \frac{1}{\sqrt{3} } × \frac{1}{2}

= \frac{1}{2\sqrt{3} } ← rationalise the denominator by multiplying by \frac{\sqrt{3} }{\sqrt{3} }

= \frac{1}{2\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} }

= \frac{\sqrt{3} }{6}

5 0
2 years ago
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