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2 years ago

The following cube has a volume of 8000 cm3. Find the length of one side of the cube.

1 answer:

6 0

Vcube = Ledge^3
8000cm^3 = Ledge^3

use the cube root of each side and you have the measure of an edge in cm.

8000^(1/3) = 20
every edge is 20 cm

20^2 = 400
The area of each face is 400 cm^2.

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A gardener is distributing equal amounts of soil into pots. He has 12 kilograms of soil and he wants to put 1/3 of a kilogram in

CaHeK987 [17]

Answer:

36 pots

Step-by-step explanation:

If the gardener has 12kg and wants to put 1/3 in each pot, he would have to divide the 12 kilos by 1/3 kg

12 ÷ 1/3 =

12 x 3 = 36 pots

6 0

2 years ago

A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t

Bogdan [553]

Answer:

$\displaystyle A=\frac{3h^2}{2}+h$

Step-by-step explanation:

Area of trapezoid

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

$\displaystyle A=\frac{b_1+b_2}{2}\cdot h$

The dulcimer has the following dimensions

$b_1=2h+1$

$b_2=h+1$

and height h

Thus

$\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h$

Operating

$\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h$

$\boxed{A=\frac{3h^2}{2}+h}$

Is the required polynomial

8 0

2 years ago

I need help on this please

12345 [234]

She is so right Because said it bro

6 0

2 years ago

A random sample of 100 automobile owners in thestate of Virginia shows that an automobile is driven onaverage 23,500 kilometers

Anastaziya [24]

Answer:

a) 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

Step-by-step explanation:

Given that:

Mean (μ) = 23500 kilometers per year

Standard deviation (σ) = 3900 kilometers

Confidence level (c) = 99% = 0.99

number of samples (n) = 100

a) α = 1 - c = 1 - 0.99 = 0.01

$\frac{\alpha }{2} =\frac{0.01}{2}=0.005\\ z_{\frac{\alpha }{2}}=z_{0.005}=2.57$

Using normal distribution table, $z_{0.005$ is the z value of 1 - 0.005 = 0.995 of the area to the right which is 2.57.

The margin of error (e) is given as:

$e= z_{0.005}\frac{\sigma}{\sqrt{n} } = 2.57*\frac{3900}{\sqrt{100} } =1002.3$

The 99% confidence interval = (μ - e, μ + e) = (23500 - 1002.3, 23500 + 1002.3) = (22497.7, 24502.3)

Confidence interval = 22497.7 < μ< 24502.3

b) With 99% confidence the possible error will not exceed 1002.3

5 0

2 years ago

4h - 6= 22 -8s + 1= 33 -4w - 4= 8 5 +1/7b = -2 i need help on these problems!

Margaret [11]

4h−6=22
1. Add 6 to both sides.
4h−6+6=22+6
4h=28
2.Divide both sides by 4.
4h/4=28/4
h=7

−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
s=-4


−4w−4=8
Step 1: Add 4 to both sides.
−4w−4+4=8+4
−4w=12
2: Divide both sides by -4.
−4w/−4=12/−4
w=−3


Step 1: Simplify both sides of the equation.
1/7b+5=−2
 2: Subtract 5 from both sides.
1/7b+5−5=−2−5
17b=−7
3: Multiply both sides by 7.
7*(1/7b)=(7)*(−7)
b=−49

6 0

2 years ago