What is an acute angle?
What is an obtuse angle?
Use a dictionary to look up the non-math
definitions of acute and obtuse. How do the
definitions relate to the math definitions?

Answer:

The second, 16^3/2

Step-by-step explanation:

The first is equal to 16

The second is equal to 64

The third is equal to 16

The fourth is equal to 16

The required, greatest volume among the given number is [tex]16^{3/2}[/tex].

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16

Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].

Learn more about simplification here:

https://brainly.com/question/12501526

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Answer:

x = 31

Step-by-step explanation:

The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].

Vertex N matches up with vertex Y.

Vertex P matches up with vertex Z.

Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.

Corresponding sides are in proportion.  To find the proportion between the two triangles, you use known sides from each.

[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.

To find  x , notice that it is side NO which corresponds to side YO from the large triangle.

Answer:

2

Step-by-step explanation:

The slope of the line through (-3, 2) and (1,10) can be found by lining up the point's vertically and subtracting then putting 2nd difference on top of first.

(1,10)

Minus

(-3,2)

-------

8/4=2

The slope is 2.

Answer:

keep 5 dollars spending and 1 dollar charity

Step-by-step explanation:

the rest don't add up to 6 dollars and that is all the money he has.

Answer:

the answer is this! understand

Answer:

Option C, Y and Z appear to be parallel lines

Hope this helps!

Answer:

1.55

Step-by-step explanation:

Answer:

A is equal to a=11/12

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

20 is ur mode

hope this helped

Step-by-step explanation:

126=12%+44%+16%=72%

175/100=1.75

1.75*72=126

so there was 175 people in the server

Answer:

1/3

Step-by-step explanation:

Take the second term and divide by the first

9/27 = 1/3

Take the third term and divide by the second

3/9 = 1/3

Check each subsequent ratio, we can see the common ratio is 1/3

Answer:

400,000

Step-by-step explanation:

Ok so, su ecusión es 0.05p = 20,000 p = 400,000

lo siento si esto está mal no soy genial con el español.

Answer:the photo is to bleary

Step-by-step explanation:

Answer:

60 to 90 feet tall

Step-by-step explanation:

i just looked it up

Answer:

Step-by-step explanation:

7

3 = 7 - 4

-1 = 3 - 4

-5 = -1 - 4

so the 5th:  -5 - 4 = -9

     the 6th:   -9 - 4 = -13

and the 7th:   -13 - 4 = -17

Answer:

You are 89 years old.

Step-by-step explanation:

First I subtracted 322 from 500 which got me 178. Then I finally did 178 divided by 2 which got me 89.

Hope this helps you! :)

Answer:

Step-by-step explanation:

[tex]f(n)=41+(n-1)^5\\\\f(1)=41+(1-1)^5=41\\\\f(2)=41+(2-1)^5=41-1=40\\\\f(3)=41+(3-1)^5=41-32=9[/tex]

Answer:

x = 2

Step-by-step explanation:

The mean is

3 + 7 + 8 + 10 + x

------------------------- = 6

             5

Multiplying both sides by 5, we get:

3 + 7 + 8 + 10 + x = 30

Then 28 + x = 30, so that x must be 2

x = 2

Step-by-step explanation:

(sin90)/20= sin67)/x

x= 18

Answer:

First one is 13. The second is 12

Step-by-step explanation:

First Scenario:

The entire line is a total of 23. Above the line it creates three segments which break up the 23 in different parts. Therefore, in other words, (x - 6) + (9) + (2x - 19) = 23. So I added all my liked terms together and simplified to get me the value of 13.

Second Scenario:

Just like in the first scenario, the second scenario provides the information that the entire line is 32. However in this case the line is split up in two different sections as indicated above the line. In which provides you with the information with the two line segments being ? (or x in this case) and 20. Therefore you would set it up the same way as in the first scenario because these two parts added together gives us the entire length of the line. So I said x + 20 = 32, which in return gave me the value to be 12.

Answer:

x = 7, x = 5

Step-by-step explanation:

[tex]\frac{3x+3}{8}[/tex] = 2x - 11 ( multiply both sides by 8 to clear the fraction )

3x + 3 = 16x - 88 ( subtract 3x from both sides )

3 = 13x - 88 ( add 88 to both sides )

91 = 13x ( divide both sides by 13 )

7 = x

--------------------------------------------------------------

[tex]\frac{4x-6}{7}[/tex] = 2 ( multiply both sides by 7 )

4x - 6 = 14 ( add 6 to both sides )

4x = 20 ( divide both sides by 4 )

x = 5

3x + 3 / 8 = 2x - 11

Multiply both sides by 8

8 × ( 3x + 3 / 8 ) = 8 × ( 2x - 11 )

3x + 3 = 16x - 88

Add both sides 88

3x + 3 + 88 = 16x - 88 + 88

3x + 91 = 16x

Subtract both sides 3x

3x - 3x + 91 = 16x - 3x

91 = 13x

Divide both sides by 13

91 ÷ 13 = 13x ÷ 13

7 = x

x = 7

_________________________________

4x - 6 / 7 = 2

Multiply both sides by 7

( 4x - 6 / 7 ) × 7 = 2 × 7

4x - 6 = 14

Add both sides 6

4x - 6 + 6 = 14 + 6

4x = 20

Divide both sides by 4

4x ÷ 4 = 20 ÷ 4

x = 5

Answer:

$1.59

Step-by-step explanation:

monthly finance charge = average daily balance x monthly interest

monthly interest = 14,99% / 12 = 1.249%

1.249% x $127.50 = $1.59

Answer:

Negative correlation.

Step-by-step explanation:

Negative correlation means that as x increases, y decreases

Positive correlation means that as x increases, y also increases.

No correlation means that neither of the two above cases happens.

In the graph, we can see that on the right (when x is negative) the general y values are larger.

As x increases, the y-values decrease.

(Particularly, we could adjust these data with a linear equation with a negative slope)

Then this is a negative correlation.

Answer:

-2

Step-by-step explanation:

-6(x-8)=60

x-8=60/-6

x-8=-10

x=-10+8

x=-2

Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red

Step-by-step explanation: