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3 years ago

What is the square rout of 56

Mathematics

1 answer:

Mars2501 [29]3 years ago

6 0

$\sqrt{56}=\sqrt{4\cdot14}=\sqrt4\cdot\sqrt{14}=2\sqrt{14}$

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An ice cream store has the pricing shown below. You want to determine the best value. The height of the cone is 4.5 in and the d

nignag [31]

Solution:

Step 1:

We will calculate the volume of ice cream in the single scoop

The volume of the ice cream will be

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{2}{3}\pi r^3 \\ r=\frac{2in}{2}=1in(cone) \\ h=4.5in \\ r=\frac{3in}{2}=1.5in(radius\text{ of the hemisphere\rparen} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} V=\frac{1}{3}\pi r^{2}h+\frac{2}{3}\pi r^{3} \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+\frac{2}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{14} \\ V=\frac{165}{14} \\ V=11.79in^3 \end{gathered}$

Step 2:

We will use the formula below to calculate the volume of the two scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{4}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5in+\frac{4}{3}\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{99}{7} \\ V=\frac{132}{7} \\ V=18.86in^3 \end{gathered}$

Step 3:

We will use the formula below to calculate the volume of the three scoops of ic cream

$\begin{gathered} V=\frac{1}{3}\pi r^2h+\frac{6}{3}\pi r^3 \\ V=\frac{1}{3}\times\frac{22}{7}\times1^2\times4.5+2\times\frac{22}{7}\times1.5^3 \\ V=\frac{33}{7}+\frac{297}{14} \\ V=\frac{363}{14} \\ V=25.93in^3 \end{gathered}$

For the first ice cream with one scoop

$\begin{gathered} 1in^3=\frac{3.50}{11.79} \\ 1in^3=\text{ \$}0.30 \end{gathered}$

For the second ice cream with two scoops

$\begin{gathered} 1in^3=\frac{4.50}{18.86} \\ 1in^3=\text{ \$}0.24 \end{gathered}$

For the third ice cream with three scoops

$\begin{gathered} 1in^3=\frac{5.50}{25.93} \\ 1in^3=\text{ \$}0.21 \end{gathered}$

Hence,

The final answer is

The triple sold at $5.50 has the best value because it has the lowest price of $0.21 per cubic inch of the ice cream

3 0

8 months ago

-3z+8=2z-12 what is the answer?

Gre4nikov [31]

Answer:

Step-by-step explanation:

Simplifying

-3a + 8 = 2z + -12

Reorder the terms:

8 + -3a = 2z + -12

Reorder the terms:

8 + -3a = -12 + 2z

Solving

8 + -3a = -12 + 2z

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -3a = -12 + -8 + 2z

Combine like terms: 8 + -8 = 0

0 + -3a = -12 + -8 + 2z

-3a = -12 + -8 + 2z

Combine like terms: -12 + -8 = -20

-3a = -20 + 2z

Divide each side by '-3'.

a = 6.666666667 + -0.6666666667z

Simplifying

a = 6.666666667 + -0.6666666667z

3 0

2 years ago

Read 2 more answers

What is 79% as a faction in simplest form

emmainna [20.7K]

79/100 is the same thing as 79%

4 0

2 years ago

Match each scenario with the type of correlation it shows

Dafna1 [17]

Yellow line- no correlation.
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless

7 0

2 years ago

Graph the line that represents this equation<br> Y=-5x+2

defon

Answer:

i cant answer this in brainly because of lack of display but if you plug in y=5x+2 into mathaway it will show you on a graph

Step-by-step explanation:

5 0

3 years ago