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Zina [86]
3 years ago
6

Find the volume of a cone with a base diameter of 8 yd and a height of 9 yd

Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

V = 150.72 yd³

Step-by-step explanation:

To find the volume, we will need to use the formula  V = \frac{1}{3}bh

To find the base, we will need to use the volume of a circle, which is A = \pi r^{2}.

If the diameter is 8, the radius is half which is equivalent to 4. Put this into the equation:

A = π4²

A = 16π ≈ 50.24.

Now, use this in the Volume of a Pyramid formula:

V = 1/3 (50.24 ·9)

V = 150.72 yd³

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What is 6-2p=p+9 ?Because I don't know it​
nikklg [1K]

Hey there!

  • Firstly, you have to \bold{simplify} each of the sides of your equation
  • \bold{6-2p-p+9\downarrow}
  • \bold{6+(-2p)=p+9\downarrow}
  • \rightarrow\bold{-2p+6=p+9}
  • Now that you have that  portion out of the way, we could  move on to our second step... which is to \bold{subtract} by the value of  \bold{p} on each of your sides
  • \bold{-2p+6-p-p+9-p\downarrow}
  • \rightarrow\bold{-3p+6-9} (you get this because we solve the particular equation we added above)
  • Thirdly, you have to \bold{subtract} by the number \bold{6} on each of your sides
  • \bold{-3p+6-6=9-6\downarrow}
  • \bold{Cancel:6-6} because it equals to \bold{0}
  • \bold{Keep:9-6} because it brings us closer and closer to the answer of \bold{p}
  • Fourthly, we have to \bold{divide} by  the number \bold{-3} on each of your sides
  • \bold{\frac{-3p}{-3}=\frac{3}{-3}}
  • \boxed{\boxed{\bold{Answer:p=-1}}} \checkmark

Good luck on your assignment and enjoy your day!

~\frak{LoveYourselfFirst:)}

8 0
3 years ago
Determine the equation of the parabola whose graph is given below. Write your answer in General Form. A parabola on a coordinate
dimaraw [331]

The equation of parabola becomes y = -2/25(x-3)^2 + 4.

According to the statement

we have given a graph and from this graph we have to find the equation of parabola in the general form.

So,

we know that the equation of parabola in general form is

y = a(x-h)^2 +k - (1)

From the graph we have:

a point on the graph is (x,y) = (-2,2)

the vertex of the graph is (h,k) = (3,4)

Now, substitute these values in the equation number (1)

Then

y = a(x-h)^2 +k

2 = a(-2-3)^2 +4

2 = a(-5)^2 +4

2 = a(25) +4

25a = -2

a = -2/25.

Now put a = -2/25 and (h,k) = (3,4) in the equation(1).

Then

the equation of parabola becomes y = -2/25(x-3)^2 + 4

So, The equation of parabola becomes y = -2/25(x-3)^2 + 4.

Learn more about equation of parabola here brainly.com/question/4061870

#SPJ4

6 0
2 years ago
The area of a parrellogram is 31.5ft and height is 6.3ft. What is the length of the base
Musya8 [376]

Answer:

Area = base × height

31.5 = base × 6.3

base = 5 ft

8 0
3 years ago
Read 2 more answers
The Caesar Cipher of the sentence "THIS MESSAGE IS TOP SECRET."
vagabundo [1.1K]

Answer:  Option 'a' is correct.

Step-by-step explanation:

Since we have given that

"THIS MESSAGE IS TOP SECRET."

We need to use the Caesar cipher.

As in general we always take a shift of 3 keys in Caesar cipher.

so, According to shift of 3 keys it becomes,

T→W

H→K

I→L

S→V

M→P

E→H

A→D

G→J

O→R

C→F

R→U

P→S

So, it can be written as

"THIS MESSAGE IS TOP SECRET."

WKLVP HVVDJ HLVWR SVHFU  HW.

we make a set of 5 letters in a word after Caesar cypher.

Hence, Option 'a' is correct.

8 0
3 years ago
X = [?]<br> 5x - 5<br> 2x + 10
Ket [755]

Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

7 0
3 years ago
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