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3 years ago

27/6 in mixed numbers

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Answer:

4 1/2

Step-by-step explanation:

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These cylinders are similar. Find the volume of

Basile [38]

Answer:

$V_s=85\ cm^3$

Step-by-step explanation:

Let $V_s\ and\ V_b$ be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

$V=\pi r^2 h$

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$

So, the volume of the smaller cylinder is equal to $85\ cm^3$ .

3 0

3 years ago

Does the table represent exponential growth or exponential decay?

Vitek1552 [10]

Answer:

Step-by-step explanation:

y=ar^x

(ar^5)/(ar^3)=72/432

r^2=1/6

Since r^2 < 1

This is exponential decay.

4 0

3 years ago

Find the solution of the system of equations.

Alexandra [31]

Answer:

x = -3

y = 9

Step-by-step explanation:

Add two equations up

4x + 5y - 9x - 5y = 33 - 18 add or subtract like terms

-5x = 15 divide both sides by -5

x = -3 we can use this information to find the value of y

4x + 5y = 33 replace x with -3

4 * (-3) + 5y = 33

-12 + 5y = 33 add 12 to both sides

5y = 45 divide both sides by 5

y = 9

5 0

3 years ago

The points (6, -23) a

ZanzabumX [31]

Answer:

$r=-3$

Step-by-step explanation:

The line that passes through the two points (6, -23) and (11, r) has a slope of 4.

We want to determine the missing value of r.

We can use the slope formula:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (6, -23) be (x₁, y₁) and let (11, r) be (x₂, y₂). The final answer should be 4. Therefore:

$\displaystyle \frac{r-(-23)}{11-6}=4$

Simplify and evaluate:

$\displaystyle \frac{r+23}{5}=4$

Multiply both sides by 5:

$r+23=20$

Therefore:

$r=-3$

4 0

3 years ago

What do I put for these two?

FromTheMoon [43]

Answer:

somtiimes

always

Step-by-step explanation:

3 0

3 years ago

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