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daser333 [38]
2 years ago
12

9. A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.

Mathematics
1 answer:
andreyandreev [35.5K]2 years ago
3 0

Answer:

J 672 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 14 inches * 8 inches * 6 inches

V =672 inches^3

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Sketch a graph of −3x+y=2
DIA [1.3K]
You can do this by first finding the y intercept which is the point where x = 0

-3(0) + y = 2
so  y intercept is the point (0,2)

Now find the x intercept by putting y = 0

-3x = 2

x = -2/3 

So we have 2 points  (-2/3, 0) and (0,2)  Draw a line through these 2 points and you have the required graph.
6 0
3 years ago
Read 2 more answers
Find the length of the cardioid r=5+5cosθ.
ipn [44]
Hello,

r=5(1+cos t)

r'=5(-sin t)

r²+r'²= 25[(1+cos t)²+(-sin t)²]=50(1-cos t)=50 sin² (t/2)
Between 0 and π, sin x>0 ==>|sin x|=sin x
l= 2*5* \int\limits^{\pi}_0{sin( \frac{t}{2} )} \, dt= 5[-cos (t/2)]_0^{\pi}\\\\
=5(0+1)=5

Here is the method but i may have make some mistakes.






3 0
3 years ago
A die is rolled twice. What is the probability of showing a 1 on the first roll and an even number on the second roll?
Ivan

Answer:

1/12

Step-by-step explanation:

Okay, so this will be a compound probability question because there are two parts to the question.

Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.

Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.

Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.

6 0
3 years ago
Read 2 more answers
a beverage is made by mixing 3 parts of water with 5 parts of fruit juice how many parts of water are mixed with 1 part on fruit
Fittoniya [83]

Answer:

\frac{3}{5}=0.6

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

\frac{water}{fruit}=\frac{3}{5}=\frac{x}{1}

cross multiply: 5x = 3

divide: 5x/5 = 3/5 or x = 3/5

3/5 = 0.6 parts water

7 0
3 years ago
Read 2 more answers
Please help me find the answer !
Marina CMI [18]

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

4 0
2 years ago
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