Applying the Pythagorean Theorem

Answer:

Yes

Step-by-step explanation:

The Triangles are similar through ASA (Angle side angle)

there are two corresponding angles in the disgram (51, 106 degrees) and one corresponding side length (2)

Answer:

x=2

Step-by-step explanation:

8x- 1/3 y = 16

when y = 0

8x = 16

x = 2

x-intercept (2,0)

Answer:

[tex]\bold{\dfrac{19m-8}{24}}[/tex]

explanation:

[tex]\sf \rightarrow \dfrac{1}{6}m-\left(-\dfrac{5}{8}m+\dfrac{1}{3}\right)[/tex]

[tex]\sf \rightarrow \dfrac{m}{6}+\dfrac{5m}{8}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{4m}{24}+\dfrac{15m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{4m+15m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{19m}{24}-\dfrac{1}{3}[/tex]

[tex]\sf \rightarrow \dfrac{19m}{24}-\dfrac{8}{24}[/tex]

[tex]\sf \rightarrow \dfrac{19m-8}{24}[/tex]

Answer:

[tex]\frac{19m-8}{24}[/tex]

Step-by-step explanation:

[tex]\frac{1}{6}m-(-\frac{5}{8}m+\frac{1}{3})[/tex]

[tex]\frac{m}{6}+\frac{5m}{8}-\frac{1}{3}[/tex]

[tex]\frac{4m}{24}+\frac{15m}{24}-\frac{1}{3}[/tex]

[tex]\frac{4m+15m}{24}-\frac{1}{3}[/tex]

[tex]\frac{19m}{24}-\frac{1}{3}[/tex]

[tex]\frac{19m}{24}-\frac{8}{24}[/tex]

[tex]\frac{19m-8}{24}[/tex]

-{ModPatrol}

Answer:

Step-by-step explanation:

First I would turn the percent and the fraction into decimals and then go from there

Answer:

here is the answers plotted on the line hopenit helps

Answer:

1. x<2.5

2. x>2.5

Step-by-step explanation:

Hope this helps!

Answer:

1. x<2.5

2. x>2.5

Step-by-step explanation:

I really hope this helps

Answer:

The formula on nth term is l=ar^(n-1)

The 1st term is 2 & r,the ration =3

Then is 2x3^(n-1). Mind you (n-1) is an exponent on 3

Hii

Lets solve for x. X being how much each person gets.

1/3÷2 1/6.

Convert any mixed numbers to fractions.

Then your initial equation becomes:

1/3÷2/1

Applying the fractions formula for division,

=1×1/3×2

=1/6

=1/6

So your answer is 1/6 :)

Hope this helps!

Answer:

[tex]\frac{1}{6}[/tex] cup of nuts

Step-by-step explanation:

Dion and his brother = 2 people

[tex]\frac{1}{2}\div 2 \\\\\frac{1}{3} *\frac{1}{2} \\\\\frac{1}{6}[/tex]

This simply means that each person gets [tex]\frac{1}{6}[/tex] cup of nuts.

Hope this helps!

Answer:

  16.6%

Step-by-step explanation:

You want the fraction of container B, a cylinder with radius and height of 18 ft, that remains empty after the contents of container A are pumped into it. Container A is a cylinder with radius 16 ft and height 19 ft.

The volume of a cylinder is given by the formula ...

  V = πr²h

The fraction of container B that is full after container A is emptied into it is ...

  Va/Vb = (π(16 ft)²(19 ft))/(π(18 ft²)(18 ft)) = (16²·19)/18³

The fraction of container B that is empty, is the difference between 1 and this amount:

  V'b = 1 -(16²·19)/18³ ≈ 0.166 = 16.6%

About 16.6% of container B remains empty.

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Answer: No.

Step-by-step explanation:

We are already given the value of x, so all we have to do is substitute the value of x into the expressions.

For the first expression :

1. Substitute the value of x (in this case the value of x is 6) into the expression. Like this: 4(3(6)+6)

We need to put the 6 next to the 3 into a parenthesis because an x next to a number means 3 times the value of x. The parenthesis symbolizes multiplication. So, 3x is the same as 3(6).

2. Solve the parenthesis "3(6)". All we would have to do is multiply 3x6. 3x6 = 24. Now the expression looks like this: 4(24+6)

3. Solve the parenthesis. All we have to do is multiply 4x24 and 4x6. We know 4x24 = 96. And, 4x6 = 24. So, we just fill that in. It will look like this: 96+24

4. Add it up. 96+24 is 120. So, the first expression equals 120.

For the second expression :

The second expression is simple. As I said before, a number next to x means x multiplied by that number, just like parenthesis. So, we would substitute the x to 6 and put that in parenthesis. Like so: 12(6).

Now, just multiply that. 12x6=72. So, the second equation is equivalent to 72.

Summary:

The first expression is equivalent to 120. The second expression is equivalent to 72. These two numbers are not equivalent. So, the expressions are not equivalent when x=6.

How the solving process would look for the first expression :

4(3x+x)

4(3(6)+x)

4(24+6)

96+24

120

How the solving process would look for the second expression :

12x

12(6)

72

Answer:

I believe the X is how many loads there are.

Step-by-step explanation:

just count how many did not use 1/4 tablespoons.

Answer:

5 loads more.

Step-by-step explanation:

It's simple!

It doesn't matter if the fractions have two different denominators. As long as the X is above 1/4, it counts.

This means that there are 5 loads that use more than 1/4 of a tablespoon of detergent.

I hope this helped!

Answer:

200 pi

Step-by-step explanation:

its (10+5)²pi-5²pi, which is 225pi - 25pi, and this gives us 200 pi.

Answer:

8. 235.62 square units 9. 21.46 square units

Step-by-step explanation:

8.

Find the area of both of the circles and then subtract the area of the small circle from the area of the large one.

Remember that the formula for the area of a circle is πr^2

π5^2=78.54 units squared

π10^2=314.16 units squared

Now subtract the area of the small circle from that of the big one.

314.16-78.54=235.62 square units

9.

I'm guessing the shaded region is the area in the square that is not taken up by the semi circles because everything in that picture is white. Basically the same thing but you are subtracting the area of a circle form that of a square. They put the circle into semi circles as something of a distraction but both halves add to a full circle so just use the same formula of a circle. The radius is 5.

Square: 10^2= 100 square units

Circle: π5^2=78.54

Now subtract the circle from the square.

100-78.54=21.46 square units

Answer:

the first is 1 or 11 for second 14 or 4, for the third 15 or 5?

Step-by-step explanation:

i dont know still confusing

Step-by-step explanation:

1,11,14,4,15,5 are the missing numbers.

Hope this helps

Answer:

No he is not correct

Step-by-step explanation:

Cause 10 / 11 is 91%

Answer:

$2.47

Step-by-step explanation:

The cabinetmaker would have paid $13.31 for everything.

The answer should be $2.47

Answer:

Your answer would be D, an outlier is a number that sets itself apart from the rest of the data.

Example:

23, 1, 25, 28, 31

The outlier here would be 1, as it sets itself apart from the rest of the data.

*Sorry if this doesn't help or is wrong*

Answer:

I’m pretty sure it’s D a data point that does not fit the general pattern and data

Step-by-step explanation:

Answer:

3||7

Step-by-step explanation:

Answer:402.12Step-by-step explanation:take the radius and multiply with the formulaV=πr2h3.14*r*2*h

Answer:

volume of prism: S(base) * height = 576

Answer: 1. percent

2. part

3. whole

4. whole

Step-by-step explanation:

first value is: 13

second value is: 29

y=-5-x

Step-by-step explanation:

x value for 0 which is y=-5 in this case then your going to find the difference between the the the 0 x value and another one in this case I used  x value for -2 where y =-3 and i see that going into the negatives added 2 so for then I would get that x is a negative number and I went down two values and it got me up 2 values meaning that x is subtracting whatever your x value is

Answer:

A 5% because 5 times 20 = 100 so 5% times 20% = 100%

Step-by-step explanation:

Answer:

-4/5÷3/-2

-4/5x-2/3

8/15

8 over 15