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3 years ago

The math club has 96 members. 1/8

Mathematics

2 answers:

Musya8 [376]3 years ago

8 0

Answer: 84

Step-by-step explanation: you multiply 96 by 1/8 to get 12 then you subtract 96 by 12 to get 84, so you have 84 fifth graders :)

Leona [35]3 years ago

4 0

The answer is 84 so it’s D

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What is the volume of the rectangular prism if one side length is 1 2/5 and the other 3 1/3

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Answer:

the length is one

Step-by-step explanation:

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4 years ago

HELP me with These questions

Feliz [49]

Answer: 13.96 in²

Step-by-step explanation:

radius (r)

d = 2r

16 = 2r

8 = r

angle in radians (θ)

$\frac{180}{\pi} =\frac{25}{\theta}$

180(θ) = 25(π)

θ = $\frac{25}{180}\pi$

θ = $\frac{5}{36}\pi$

Area (A)

A = $\frac{1}{2}$ r² θ

= $\frac{1}{2}(8)^{2}(\frac{5}{36}\pi)$

= $\frac{40}{9}\pi$

= 13.96

*************************************************************************

Answer: 12π

Step-by-step explanation:

s = rθ

= 60 $(\frac{\pi }{5})$

= 12π

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Answer: 22.440 cm²

Step-by-step explanation:

A = $\frac{1}{2}$ r²θ

= $\frac{1}{2}$ (10)² $(\frac{\pi} {7})$

= $\frac{50}{7}\pi$

= 22.440

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Answer: 270°, 630°, -450°, -810°

Step-by-step explanation:

positive: -90 + 360 = 270

270 + 360 = 630

negative: -90 - 360 = -450

-450 - 360 = -810

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Answer: $\frac{3\pi} {4}$

Step-by-step explanation:

$\frac{19\pi} {4} - 2\pi$

= $\frac{19\pi} {4} - \frac{8\pi} {4}$

= $\frac{11\pi} {4}$

$\frac{11\pi}{4} - 2\pi$

= $\frac{11\pi} {4} - \frac{8\pi} {4}$

= $\frac{3\pi} {4}$

If you subtract another 2π, you will end up with a negative value. The question asks for the smallest positive value.

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4 years ago

Help me please! I really need help

Brums [2.3K]

If you looked it up online you could find it. look on safari

8 0

3 years ago

Read 2 more answers

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

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3 years ago

Jorge wants to buy new vinyl flooring for his kitchen. The kitchen floor is 12 feet by 15 feet. How many square yards is the flo

adoni [48]

Answer:

180 square yards

Step-by-step explanation:

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4 years ago