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love history [14]
3 years ago
13

The volume of a cube is related to the area of s face by the formula v= a^3/2. What is the volume of a cube whose face has an ar

ea of 100 m^2
Mathematics
1 answer:
Sophie [7]3 years ago
4 0

Answer:

  1000 m³

Step-by-step explanation:

Put the number into the formula and do the arithmetic.

  v = a^(3/2) = (100 m²)^(3/2) = (√100)³ m³ = 1000 m³

The volume is 1000 cubic meters.

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What is the length of arc S shown below?
ki77a [65]

Answer:

s = 2

Step-by-step explanation:

The length of the arc s is calculated using

s = circumference × fraction of circle

  = 2πr × \frac{0.4}{2\pi } ( cancel 2π )

  = 5 × 0.4 = 2

8 0
3 years ago
Read 2 more answers
Robert and Chris can skate 4 miles in 18 minutes. How far can they ride in 45 minutes?​
adell [148]

Answer: Robert and Chris can skate 10 miles in 45 minutes.

Step-by-step explanation:

Let's start by finding the unit rate.

\frac{4}{18} =\frac{2}{9} \\\frac{18}{18} =1

Robert and Chris can skate \frac{2}{9} of a mile in 1 minute. Now we can multiply both by 45 to see how far the can go in 45 minutes.

(\frac{2}{9}) (\frac{45}{1} )\\\frac{(2)(45)}{(9)(1)} \\\frac{90}{9} \\10

45x1=45

The can skate 10 miles in 45 minutes.

6 0
3 years ago
the legs of a right triangle have lengths of 28 meters and 21 meters. the hypotenuse has a lenght of 5x meters. what is the valu
Luba_88 [7]
From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.
7 0
3 years ago
Read 2 more answers
Alberto has 2 cats the smaller cat weighs 10 3/4 pounds the larger cat weighs 15 1/3 pounds how much do the cats weigh altogethe
ElenaW [278]

Answer:

A. 26 1/2

Step-by-step explanation:

change denominator so they can be the same

3/4*3  =   9/12

1/3*4   =   4/12

Add the whole numbers : 10 +15=25

9/12+4/12= 13/12 so 1 1/12

26 1/12

4 0
3 years ago
Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle o
NNADVOKAT [17]

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

  • When the facility breaks even, it would have sold 7<u>7,579 bottles of apples juice</u>.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let <em>J</em> represent the number of bottles of apple juice sold, and let <em>S</em> represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}

\displaystyle S= \frac{3}{2} \cdot J

Therefore;

\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{368,500}

Which gives;

\displaystyle  (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot  \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } =  368,500

\displaystyle  J  =   \frac{368,500 \times 4}{19}  = \frac{1474000}{19}=77578\frac{18}{19}  \approx 77,579

The number of bottles of apple juice sold, J ≈ <u>77,579 bottles</u>

Learn more about simultaneous equations here:

brainly.com/question/10724274

7 0
2 years ago
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