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3 years ago

The cone shown has a volume of 48 pi cubic inches. what is the radius of the cone?

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Answer:

r = 4 inches

Step-by-step explanation:

$V=\frac{\pi*r^{2}*h}{3}\\ \\48*\pi*3=\pi*r^{2}*9\\\\\\r^{2}=\frac{48*\pi*3}{\pi*9}\\ \\r^{2}=\frac{48}{3}\\ \\\\r^{2}=16\\ \\r=4~inches$

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-x/3 >5 the sign is supposed to be greater than or equal to but I don’t have that option

9966 [12]

Answer:

x ≤ -15

Step-by-step explanation:

-x / 3 ≥ 5

multiply by 3

-x ≥ 15

add x to both sides and subtract 15 from both sides

-15 ≥ x or x ≤ -15

4 0

2 years ago

Which of the following is NOT a factor of b3 +6b²?<br> 63<br> 062<br> Ob<br> (b + 6)

Gnesinka [82]

Answer:

b³

Step-by-step explanation:

The lowest common multiple of the expression is b². This because, taking out a factor of b, b ( b² + 6b ), taking out a factor of b², b² ( b + 6 ),

taking out a factor of ( b + 6 ), ( b + 6 ) b². As a result b² is only the option which is not a factor.

7 0

1 year ago

4(x-11)^2=25

netineya [11]

Expand the square: 4(x-11)^ =25
4(x-11)(x-11)=25

Distribute : 4(x-11)(x-11)=25
4(x(x-11)-11(x-11))=25

Distribute: 4(x(x-11)-11(x-11))=25
4(x^-11x-11(x-11))=25

Solution: x=17/2
x=27/2

hope that helps

8 0

2 years ago

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she e

andrew11 [14]

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week= $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

7 0

2 years ago

10# A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like

ella [17]

ANSWER:

104

STEP-BY-STEP EXPLANATION:

Given:

Standard deviation (σ) = 700

Confidence level = 95%

Mean error (Eμ) = 135

We have for a confidence level of 95%:

$\begin{gathered} \alpha=100\%-95\%=5\%=0.05 \\ \\ \alpha\text{/2}=\frac{0.05}{2}=0.025 \\ \\ \text{ The corresponding Z value for \alpha/2 = 0.025 is as follows:} \\ \\ Z_{\alpha\text{/2}}=1.96 \end{gathered}$

Now, we calculate the minimum value of the sample size as follows:

$\begin{gathered} n=\left(\frac{Z_{\alpha\text{/2}}\cdot\sigma}{E}\right)^2 \\ \\ \text{ We replacing:} \\ \\ \:n=\left(\frac{1.96\cdot 700}{135}\right)^2 \\ \\ \:n=103.2858\cong104 \end{gathered}$

The minimum sample size needed is 104

3 0

1 year ago