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malfutka [58]
3 years ago
14

8. A cone shaped paper cup has a radius of 1.5 inches and a height of 3 inches. What is the volume of the cup?​

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

V=7.06\ \text{inches}^3

Step-by-step explanation:

Given hat,

The radius of cone shaped paper cup, r = 1.5 inches

The height of cone shaped paper cup, h = 3 inches

We need to find the volume of the cup. For a cone shaped, the volume is given by :

V=\dfrac{1}{3}\pi r^2 h

Putting all the values in the above formula.

V=\dfrac{1}{3}\pi \times (1.5)^2 \times 3\\\\V=7.06\ \text{inches}^3

So, the volume of the cup is 7.06\ \text{inches}^3.

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One half gallon is equivalent to 4 pints.how many gallons are the equivalent of 72 pints
malfutka [58]

Answer: 9 gallons

<u>Step-by-step explanation:</u>

Set up the proportion, then multiply to solve for the variable.

\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=\dfrac{x}{72\ \text{pints}}

(72\ \text{pints})\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=(72\ \text{pints)}\dfrac{x}{72\ \text{pints}}

\dfrac{36\ \text{gallons}}{4}=x}

9 gallons = x

5 0
4 years ago
Use the Remainder Theorem to find the remainder for (4x^3+4x^2+2x+3)/(x-1) and state whether or not the binomial is a factor of
Gnesinka [82]

Answer:

The remainder = 13.

Step-by-step explanation:

By the Remainder Theorem the remainder when the function is divided by

x - 1 is f(1).

f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3

=  4 + 4 + 2 + 3

= 13.

So x - 1 is not a factor of f(x).

If it was a factor the remainder would be 0.

5 0
3 years ago
Read 2 more answers
Please please please please please help me <br> i will give brainliest
alukav5142 [94]
2x^2 - 4 = 68
add 4 to both sides
2x^2 = 72
divide both sides by 2
x^2 = 36
find the square root of each sides
x = 6, -6

ANSWER: the positive value of x is 6
7 0
3 years ago
Need answer ASAP ASAP please ASAP ASAP thank you:)
Paha777 [63]

Answer:

42°

Step-by-step explanation:

3x + 54° = 180° [Supplementary angles]

=> 3x = 180 - 54

=> 3x = 126

=  > x =  \frac{126}{3}

=> <u>x = 42</u><u>°</u><u> </u><u>(Ans)</u>

5 0
3 years ago
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Maliha thinks of a number x write an expression for the number Maliha gets when she multiples the number by 3
madam [21]

Answer:

3x

Step-by-step explanation:

5 0
3 years ago
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