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PIT_PIT [208]
3 years ago
11

After you add both sides by 9. How can you solve for 5z in this equation 5z-3=12

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Answer:

OPTION A: Divide both the sides by 5

Step-by-step explanation:

We are given:  5z - 3 = 12

When we add 9 to both sides we get:

5z - 3 + 9 = 12 + 9

⇒ 5z + 6 = 21

⇒ 5z = 21 - 6 = 15

⇒ 5z = 15

To find the value of z we have to divide both the sides by 5.

i.e., $ \frac{5z}{5} = \frac{15}{5} $

⇒ z = 3.

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When the shaded region below is rotated about the x-axis the resulting solid is a circular cone with radius 2 m and height 3 m.
WARRIOR [948]

Answer:

Therefore, the volume of the cone is V=4π.

Step-by-step explanation:

From task we have a circular cone with radius 2 m and height 3 m. We use the disk method to find the volume of this cone.  

We have the formula:

\boxed{V=\int_0^h\pi \cdot \left(\frac{r}{h}x\right)^2\, dx}

We know that r=2 and h=3, and we get:

V=\int_0^3\pi \cdot \left(\frac{2}{3}x\right)^2\, dx\\\\V=\int_0^3 \pi \frac{4}{9}x^2\, dx\\\\V= \frac{4\pi}{9} \int_0^3 x^2\, dx\\\\V= \frac{4\pi}{9} \left[\frac{x^3}{3}\right]_0^3\, dx\\\\V= \frac{4\pi}{9}\cdot 9\\\\V=4\pi

Therefore, the volume of the cone is V=4π.

7 0
3 years ago
What properties would you use to solve x/3=12 (multiple choice)
butalik [34]
C

explanation : the equation is division and since you don’t know what the variable x is, you multiply 3 and 12 to find x
5 0
3 years ago
What is the integral of ∫4x^2 dx
Nataly_w [17]

Answer:

\boxed{\frac{4}{3} x^3 + c}

Step-by-step explanation:

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5 0
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Step-by-step explanation:

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