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3 years ago

11

A popular soup company is wanting to re-design the label around its soup can. Its has the radius of 3.4 and the height of 10. Wh

at is the lateral surface area

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

The lateral surface area is $68\pi\ units^{2}$

Step-by-step explanation:

we know that

The lateral surface area of a cylinder (soup can) is equal to

$LA=2\pi rh$

we have

$r=3.4\ units$

$h=10\ units$

substitute

$LA=2\pi(3.4)(10)=68\pi\ units^{2}$ -----> exact value

$LA=68\pi=68(3.14)=213.5\ units^{2}$ ----> approximate value

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-2(csc2θ - cot2θ)<br> - 1 <br> -2<br> -3<br> -1

Lorico [155]

Answer:

- 2

Step-by-step explanation:

$- 2( { \csc}^{2} \theta \: - {cot}^{2} \theta) \\ = - 2(1) \\ = - 2$

8 0

3 years ago

Simplify the expression: –3(–7 + 3z)

aleksandrvk [35]

Hey there! I'm happy to help!

We want to multiply each term inside the parentheses by the number on the outside.

-3(-7)=21

-3(3z)=-9z

Therefore, our expression is 21-9z.

Now you know how to use the distributive property! Have a wonderful day! :D

5 0

4 years ago

good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

borishaifa [10]

Answer:

7. $x=3$

8. l=11cm and w=7 cm

9. $x-5\ge12$

10. $\frac{x}{3}\le15$

Step-by-step explanation:

Question 7.

The given expression is:

$12-3(2x+1)=7x-3(7+x)$

Expand the parenthesis using the distributive property:

$12-6x-3=7x-21-3x$

Group similar terms:

$-6x-7x+3x=-21+3-12$

Simplify

$-10x=-30$

Divide both sides by -10

$x=3$

Question 8:

Let the width of the rectangle be; $w$

The length of the rectangle is $l=w+4$

The perimeter is given as: $P=2(l+w)$

Given that the perimeter P=36, then:

$36=2[(w+4)+w)]$

$\implies 36=2(2w+4)$

Divide both sides by 2:

$\implies 18=2w+4$

Subtract 4 from both sides:

$\implies 18-4=2w$

$\implies 14=2w$

$\implies w=7$

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as $x-5$

"5 fewer than a number is at least 12" becomes

$x-5\ge12$

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

$\frac{x}{3}$

The quotient of a number and 3 is no more than 15 is written as;

$\frac{x}{3}\le15$

4 0

3 years ago

Emerson is making a punch that contains 60% grape juice and the rest lemon-lime soda. The punch has 2 liters of lemon-lime soda.

valina [46]

Part A.

Consider a punch containing L liters.

60% of these that is $\frac{60}{100}L=0.6L$ is grape juice, and the rest, 0.4 L is lemon-soda.

so, for the variable L, the total amount of punch, the total amount of grape juice is 0.6 L
and the amount of lemon soda in the punch is 0.4L

Part B.

For L=2, we substitute and get:

0.6 L=0.6 * 2 liters = 1.2 liters of grape juice

0.4 L = 0.4 * 2 liters = 0.8 liters of lemon soda.

5 0

4 years ago

The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i

Oksana_A [137]

Answer:

$a = 145\ cm$

Step-by-step explanation:

Given

$a + b + c = 445$

$a = 45 + b$

$b = \frac{1}{2}c$

Required

Determine the length of a

Solve for c in $b = \frac{1}{2}c$

$2 * b = \frac{1}{2}c * 2$

$2b = c$

$c = 2b$

Substitute $c = 2b$ and $a = 45 + b$ in $a + b + c = 445$

$a + b + c = 445$

$45 + b + b + 2b = 445$

$45 + 4b = 445$

Solve for 4b

$4b = 445 - 45$

$4b = 400$

Solve for b

$b = 400/4$

$b = 100$

Recall that: $a = 45 + b$

$a=45+100$

$a = 145\ cm$

6 0

4 years ago