3 years ago

Write the inequality shown in the graph below:

Mathematics

1 answer:

Rashid [163]3 years ago

3 0

Step-by-step explanation:

Since the line is intersecting x axis at 5 and is parallel to y axis, hence required inequality would be:

$x \leqslant 5$

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tangare [24]

C is the answer because it is.

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2 years ago

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Any help would be appreciated ❤ ❤ Thank you

Paladinen [302]

The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):
$cone = \frac{1}{3} \pi {r}^{2} h \\ sphere = \frac{4}{3} \pi {r}^{3} \\ object = ( \frac{1}{3} \pi {r}^{2} h) + \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )$
If the volume of the cone is 270pi and the height of the cone is 10, then:
$270\pi = \frac{1}{3} \pi {r}^{2} (10) \\ 27 = \frac{1}{3} {r}^{2} \\ 80 = {r}^{2} \\ r = 9$
The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:
$object = 270\pi + \frac{1}{2} ( \frac{4}{3} \pi {(9)}^{3} ) \\ = 270\pi + \frac{2}{3} (729\pi) \\ = 270\pi \: + 243\pi \\ = 513\pi$
The total volume is 513 pi cm^3

7 0

3 years ago

Find the height of a square pyramid that has a volume of 32 cubic feet and a base length of 4 feet. . . . a. 2 feet. b. 4 feet.

Mademuasel [1]

Volume of Pyramid = (1/3)*(base area) * height.

32 ft³ = (1/3)*(4*4)* h. Since Pyramid is square based.

32 = (16/3)*h

16h/3 = 32

h = 32*3/16

h = 6

Height = 6 feet. Option C.

4 0

2 years ago

-2<img src="https://tex.z-dn.net/?f=-2%20divided%20by%28-2%29" id="TexFormula1" title="-2 divided by(-2)" alt="-2 divided by(-2)

sergij07 [2.7K]

Answer:

Step-by-step explanation:

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3 years ago

Evaluate each function.<br> 15) f(n)= n° + 3n?; Find f(-4a²)

coldgirl [10]

Answer:

Step-by-step explanation: