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2 years ago

9

A piece of cheese is in the shape of an isosceles right triangular prism. The triangular base is 4 cm and the height is 2 cm. Th

e rectangular base is 5 cm with a height of 3 cm. How much plastic wrap is needed to completely cover the cheese?

1 answer:

dlinn [17]2 years ago

3 0

The length of the plastIc rap needeD would be 19 cm. Kish

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Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

What is the geometric mean of 40 and 15?

mart [117]

You would do 40/x=x/15, therefore you get x^2=600. to find x you find the square root of each side. Rounded to the nearest tenth, you get 24.5. If you put it in simplest radical form you should get 10 times the square root of 6

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2 years ago

If f(x)=x^3 which if the following describes the graph of f(x-3)

Katena32 [7]

<span>The graph of f(x - 3) is a horizontal shift of f(x) = x3 three units to the right.

I hope this helps. </span>

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3 years ago

Evaluate each expression if a=2, b=3 and c=4<br><br> A.) 2a+4b-c<br> B.) 6(a+c)-b

djyliett [7]

Answer:

Step-by-step explanation:

A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:

2(2) + 4(3) - (4) = 4 + 12 - 4 = 12

B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.

The work inside parentheses should be done first, resulting in 6(6) - 3.

This comes out to 33.

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Socratic helps me with my math question....

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2 years ago

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