Help me please! I’m begging

Mathematics

1 answer:

Goryan [66]3 years ago

7 0

12) the radius is 15 so with the equation (3.14)*r^2, we get (3.14)(15^2)=706.5

13) true, true (if x=4), true

14) y=0.75x+4.50, $8.25

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AlladinOne [14]

The solution is in the attachment

6 0

3 years ago

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

Solve for p.

olasank [31]

Answer: p = 8; correct option is A

Step-by-step explanation:

From the equation, 2(p + 1) = 18

Open the bracket

2p + 2 = 18

2p = 18 -2

2p = 16

P= 8