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evablogger [386]
4 years ago
11

Evaluate 6 P 3. 720 240 540 120

Mathematics
1 answer:
Damm [24]4 years ago
3 0

Answer:120

Step-by-step explanation: i know i am a week late but ...

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17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find
Pavlova-9 [17]

Answer:

r = 3.74cm

Step-by-step explanation:

Given

Hemisphere

Radius = 7cm

Cone

Height = 49m

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

V_1 = \frac{2}{3}\pi r^3

Substitute 7 for r

V_1 = \frac{2}{3}\pi * 7^3

V_1 = \frac{2}{3}\pi * 343

V_1 = \frac{686}{3}\pi

Volume (V2) of a cone is:

V_2 = \frac{1}{3}\pi r^2h

Because the lead is cast into a cone, then they have the same volume.

So, we have:

\frac{686}{3}\pi = \frac{1}{3}\pi r^2h

686 =  r^2h

Substitute 49 for h

686 =  r^2 * 49

Divide both sides by 49

r^2 = \frac{686}{49}

r^2 = 14

r = \sqrt{14

r = 3.74cm

<em>Hence, the radius of the cone is 3.74cm</em>

5 0
3 years ago
What is the price of $45 art set with 7% tax
olasank [31]

Answer:

$48.15

Step-by-step explanation:

Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer

5 0
3 years ago
the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false
Neporo4naja [7]

Answer:

false.

Step-by-step explanation:

Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.

Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.

In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.

So it's false. The graph is translated three units downwards and 2 units to the right.

5 0
4 years ago
Read 2 more answers
Solve the equation p=8L+5w for L.
Reptile [31]
A)
p-5w=8L + 5w - 5w
p -5w=8L
(p- 5w)/8 = 8L/8
(p- 5w)/8 = L
8 0
4 years ago
I suck at math please help lol
sasho [114]

Answer:

1

Step-by-step explanation:

since the 2 functions equal each other:

-2x + 3 = 4x - 9

add -2x to both sides

3 = 6x - 9

add 9 to both sides

12 = 6x

divide by 6

2 = x

you have x, now find y, you just need to plug 2 into one of the equations instead of both bc they both equal the same anyway

-2(2) + 3

-4 + 3

-1 = y

Now we'll find x + y, input them and it's 2 + (-1), which is 1

7 0
3 years ago
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