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MAXImum [283]
3 years ago
14

A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be neede

d to fill the prism?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
4 0

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

V_p=8*4*0.5

V_p=16

Generally volume of the cube V_c is mathematically given as

V_c =(\frac{1}{2})^3

V_c =\frac{1}{6}

Therefore total number of cubes is given as

V=\frac{V_p}{V_c}

V=\frac{16}{\frac{1}{6}}

V=96

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Triangle DEF is a right triangle. Angle F is a right angle and m∠E=29°.<br><br> What is m∠D?
Aleksandr-060686 [28]

All triangles have 180o in them when the 3 angles making them up are added together.


Givens

F = 90

E = 29

D = ???


Equation

<D + <E + <F = 180


Substitute and solve

<D + 90 + 29 = 180

<D + 119 = 180

<D = 180 - 119

<D = 61

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There is a total of 30 erasers
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Shipping rates for Company A and Company B are shown in the tables below. Which company has shipping rates that you can represen
meriva

Company B; the ratios of cost to weight are equivalent.

Step-by-step explanation:

Step 1:

In the equation, y=kx k is the constant of proportionality.

If the values are in accordance with y=kx, the values of k will be constant for all the values.

So we determine the values of k for both the companies and see which has a constant k.

If y=kx, k = \frac{y}{x}. In these tables, y is the total cost and x is the weight in lbs.

Step 2:

For company A,

when y=10.55, x=1, k = \frac{10.55}{1} = 10.55,

when y=10.85, x=2, k = \frac{10.85}{2} = 5.425,

when y=11.15, x=3, k = \frac{11.15}{3} = 3.71666.

For company B,

when y=2.75, x=1, k = \frac2.75}{1} = 2.75,

when y=5.50, x=2, k = \frac{5.50}{2} = 2.75,

when y=8.25, x=3, k = \frac{8.25}{3} = 2.75.

So company B has a constant value of k=2.75.

3 0
3 years ago
Find the radius of a circle with a circumference of 30 units. Round your answer to the nearest tenth (1 decimal place).
Vlad [161]

Answer:

The radius would be 4.8

Step-by-step explanation:

The circumerfence of a circle can be found use the equation C=2\pir. So since we are given the circumerce we need to rearrange the eqaution to it looks like \frac{30}{2\pi }=r. when we do this out we find that the radius equals 4.8.

4 0
3 years ago
you are rolling a 10-sided die with sides numbered 1-10. you keep rolling the die until you roll a prime number and then stop. l
evablogger [386]

The formula for E(x) would be SUM[ X(n)P(n)] from n = 1 to n = infinity until we get the prime number

In the given problem, a 10-sided die with 1-10 numbers is rolled until we get a prime number

Prime numbers between 1-10 = 2,3,5,7 (4 prime numbers)

Non - prime numbers = 1,4,6,8,9,10( 6 non-prime number)

Let X be the number of times the die is rolled

The probability of getting a prime =

P(Prime) = \frac{4}{10}

Now, the value of

E(X)=∑x.P(x) [ x-> {1, infinity}]

= P(1)X(1) +P(2)X(2)+P(3)X(3)+P(4)X(4)........+ P(n)X(n)

= 1.\frac{4}{10} + 2. \frac{6}{10}.\frac{4}{10} + 3.\frac{6}{10}.\frac{6}{10}\frac{4}{10} + 4. \frac{6}{10}.\frac{6}{10}.\frac{6}{10}.\frac{4}{10}.......

Hence, this is the value of E(x)

To learn more about Prime number, here

brainly.com/question/9315685

#SPJ4

4 0
2 years ago
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