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3 years ago

1. Evaluate: 4(5) +3(7-2) a. 25 C. 18 d. 40 e. -40

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

Step-by-step explanation:

Simplify the following:

4×5 + 3 (7 - 2)

7 - 2 = 5:

4×5 + 3×5

4×5 = 20:

20 + 3×5

3×5 = 15:

20 + 15

| 2 | 0

+ | 1 | 5

| 3 | 5:

Answer: 35

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the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

Read more about surface areas t:

brainly.com/question/25131428

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2 years ago

Solve the system of equations using substitution: 7y+2x=16 5y-9=x

7nadin3 [17]

7y+2(5y-9)=16
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Answer:

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Step-by-step explanation:

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3 years ago

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Hi.

andreev551 [17]

Answer:

Step-by-step explanation:

40 + 5 × 5

40 + 25

Note: I also come from another country •-•

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3 years ago

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Solve: -2x - 5 = -3 plz help me hurry

lord [1]

Answer:

x=-1

Step-by-step explanation:

-2x - 5 = -3

add 5 to both sides

-2x = 2

divide both sides by -2

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