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3 years ago

Find the volume of each figure. Round to the nearest tenth if necessary.

Mathematics

1 answer:

ziro4ka [17]3 years ago

7 0

Answer:

112

Step-by-step explanation:

The volume is given by l*b*h=4*4*7=112

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John has $6 to buy school supplies. He buys 6 notebooks that are $0.52 each. He spends the remaining money buying erasers that a

Anuta_ua [19.1K]

John bought 18 erasers.

Explanation: He has $6.00

He spends $3.12 on notebooks
Then you do $6.00 - $3.12 and you get $2.88

If it’s ¢16 per eraser and he has no money left over after buying erasers than you would divide $2.88 by $0.16 which turns into 288 divided by 16 which comes out to 18.

Therefor John bought 18 erasers.

5 0

2 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

Then the written function in the form of vertice is

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

3 years ago

Someone please let me know the answer

erastova [34]

Answer:

The answer is 30°

Step-by-step explanation:

$when \: \: \sqrt{3} \sin( \alpha ) - \cos( \alpha ) = 0 \\ \sqrt{3} \sin( \alpha ) = \cos( \alpha ) \\ multiply \: by \: \frac{1}{ \sqrt{3} \cos( \alpha ) } \\ then \\ \frac{ \sin( \alpha ) }{ \cos( \alpha ) } = \frac{1}{ \sqrt{3} } \\ \tan( \alpha ) = \frac{1}{ \sqrt{3} } \\ then \: \alpha = 30$

3 0

2 years ago

Which angle is congruent to CBA? BCD CDA ABC BAD

Angelina_Jolie [31]

Answer:

the second cda is right give brainliest pls

Step-by-step explanation:

7 0

2 years ago

How many solutions does 6x^2+40=-31x have?

scZoUnD [109]

I believe that it is D.

8 0

3 years ago

Find the volume of each figure. Round to the nearest tenth if necessary.​

Find the volume of each figure. Round to the nearest tenth if necessary.