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Molodets [167]
3 years ago
14

Araceli filled a cone-shaped container with a variety of colored sand to give as a gift to a friend. The volume of a cone is rep

resented by the expression below, where r is the radius of the base of the cone and h is the height of the cone. Find the approximate volume of colored sand in the container if it has a radius of inches and a height of inches. Use 3.14 for pi.
A.

22.608 cubic inches

B.

33.912 cubic inches

C.

11.304 cubic inches

D.

7.536 cubic inches
Mathematics
2 answers:
omeli [17]3 years ago
8 0

Answer:

D

Step-by-step explanation:


alukav5142 [94]3 years ago
4 0

Answer:

11.304 cubic inches.

Step-by-step explanation:

Substitute the values of the radius and the height into the expression, and then use the correct order of operations to simplify the expression.

1. Parentheses or Brackets from the inside out

2. Exponents

3. Multiplication and Division from left to right

4. Addition and Subtraction from left to right

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Trapezoid ABCD has an area of 525 cm squared. If height AB = 21 cm and BC = 37 cm, what is the measure of AD?​
Annette [7]

Answer:

AD = 13

Step-by-step explanation:

Area of trapezoid ABCD

=  \frac{1}{2} (AB + AD) \times AB \\  \\  525=  \frac{1}{2} (37+ AD) \times21\\  \\  525 \times 2=  (37+ AD) \times21 \\  \\ 1050 = 21 \times 37 + 21AD \\  \\ 1050  = 777+ 21AD \\  \\  21AD  = 1050 - 777 \\  \\ 21AD  = 273 \\  \\ AD  =  \frac{273}{21}  \\  \\ AD  = 13

8 0
3 years ago
What is the answer to a,b, and c? Thanks!
Katarina [22]

The area of a triangle can be calculated as half the product of base length and height. We want the area to be no greater than 10 in².

a) (1/2)(4)(2x-3) ≤ 10

b) 4x -6 ≤ 10 . . . . . simplify

... 4x ≤ 16 . . . . . . . .add 6

... x ≤ 4 . . . . . . . . . divide by the coefficient of x

c) The maximum value of (2x -3) in is (2·4 -3) in = 5 in.

The triangle should be no more than 5 in high to have an area less than 10 in².

6 0
3 years ago
PLS help <br> 85% of 2500m
pishuonlain [190]

Answer:

2125m or 2km or 125m

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

3 0
2 years ago
The equation h=-16t^2+58t+3 models the height of a baseball t seconds after it has been hit.
Nata [24]
At 40 seconds I got 23,277 feet so yes it was ever 60 feet
3 0
3 years ago
The local swim team is considering offering a new semi-private class aimed at entry-level swimmers, but needs a minimum number o
SCORPION-xisa [38]

Answer:

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

Step-by-step explanation:

For this case we define the random variable X as the number of entry-level swimmers and we are interested about the true population mean for this variable . On specific we want to test this:

Null hypothesis: \mu \leq 15

Alternative hypothesis: \mu > 15

And the statistic is given by:

z =\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

The significance level is \alpha=0.01 and since we are conducting a right tailed test we need to find a critical value who accumulate 0.01 of the area in the right of the normal standard distribution and we got:

z_{\alpha/2}= 2.326

So we reject the null hypothesis is z>2.326

7 0
3 years ago
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