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Sergeu [11.5K]
3 years ago
12

The height and diameter of a cone-shaped storage tank are 9 feet (height) and 14 feet

Mathematics
1 answer:
lana [24]3 years ago
3 0

Answer: 461.60 is the volume of liquid the tank can hold.

Step-by-step explanation:

We were given;

Height H = 9 ft

Diameter D = 14 ft

Pie π = 3.14

We will make use the formula of volume of a cone to get volume of water the tank can hold because it is said that the tank is in the shape of a cone

So

V = 1/3 * πr2h

First we need to find our radius r

Radius = 1/2 of diameter = 14/2 = 7

So using the formula

V = 1/3 * πr2h

V = 1/3 (3.14 * 7² * 9)

V = (3.14 * 49 * 9)/3

V = 1384.74 / 3

V = 461.58 = 461.60 (nearest ten)

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What is the solution set?
rosijanka [135]

Step-by-step explanation:

x \div 4 \leqslant 9 \div x

x ^{2}  \leqslant 36

x {}^{2}  - 36 \leqslant 0

x  {}^{2} { - 6}^{2}  \leqslant 0

(x + 6)(x - 6) \leqslant 0

x \leqslant  - 6 \:  \: or \:  \:  \: x \leqslant 6

- 6 \geqslant x \leqslant 6

From the explanation the correct answer is the last one from the question above

8 0
3 years ago
12 + m < -6 how many solutions
kodGreya [7K]

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

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8 0
3 years ago
Evaluate 23x-1 for x = 1.
Fed [463]
Using the order of operations (PEMDAS)...

23 · 1 - 1 = ?
23 - 1 = ?
22

The answer is 22

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
7 0
3 years ago
HELP ME PLEASE!!! Steps would be helpful :)
SIZIF [17.4K]

Answer:

i believe the answer is 9.5

Step-by-step explanation:

cos60 = c / 19 = 9.5

4 0
3 years ago
What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?
Naddika [18.5K]
Let
F--------------------> future value
P--------------------> present value 
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t -------------------->  time in years. 
we know that
P=$1,600
<span>t=17 years
m=2
r=10%------> 0.10

F=P(1+i)</span><span>^n
</span><span>where
i=r/m   ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34

</span>F=1600*(1+0.05)^34=8405.36
<span>
the answer is $</span>8405.36<span>

</span>
5 0
3 years ago
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