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3 years ago

The surface area of this rectangular prism is_____square centimeters.

Mathematics

2 answers:

geniusboy [140]3 years ago

8 0

Answer:

Find the area of all the shapes

Length x width = area

10 x 3 = 30

6 x 3 = 18

6 x 10 = 60

3 x 10 = 30

6 x 10 = 60

Add them all up

30 + 18 + 18 + 60 + 30 + 60 = 216 cm^2

Hope this helps

Step-by-step explanation:

8090 [49]3 years ago

5 0

I think the answer is 69

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if ben makes $35.00 per hour and then gets a ten percent raise what is his new salary. Show your work

frez [133]

Answer:

$38.50 per hour

Step-by-step explanation:

10% = 0.1

0.1 × 35.00 = 3.50

35.00 + 3.50 = 38.50

5 0

2 years ago

Read 2 more answers

Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

3 0

3 years ago

Find how many quarts of 6% butterfat milk and 3% butterfat milk should be mixed to yield 60 quarts of 4% butterfat milk.

Snezhnost [94]

Answer:

20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

Step-by-step explanation:

We are given the following in the question:

Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.

Thus, we can write the equation:

$6\%\times x + 3\%\times y = 4\%\times 60\\6x + 3y = 240$

Total amount of 3% butterfat milk = 60

Thus, we can write the equation:

$x+y = 60$

Solving the two equation, we get,

$6x + 3y-(3x+3y) = 240 - 3(60)\\3x = 240-180\\3x = 60\\x = 20\\y = 60-20 = 40$

Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.

3 0

3 years ago

If f(x)= -5 -7x, find f(-2)

swat32

Answer:

Given f(-2)

= -5 -7(-2)

= -5+14

= 9

Thus f(-2) of f(x)= 5-7x is 9

4 0

3 years ago

Choose whether the expression is a result of multiplying

vladimir1956 [14]

Answer:

neither

Step-by-step explanation:

Take out 5 as a common factor. It will be easier to look at.

5(5c^2 + 11c + 6)

5(5C +6 )(c + 1 )

Now you can put the 5 inside.

(25c + 30)(c + 1) is one answer.

(5c + 6)(5c + 5) is another.

The answer is multiplying binomials. There is nothing that that is squared and the answers are not conjugates. They are two binomials multiplied together.

8 0

2 years ago

The surface area of this rectangular prism is_____square centimeters.​

The surface area of this rectangular prism is_____square centimeters.