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Answer:

6.6 ft.

Step-by-step explanation:

Right triangle: Use this formula a² + b² = c² .  Given c = 12, a = 10 find b

(10)² + b² = (12)²

100 + b² = 144

        b² = 144 - 100

        b² = 44

        [tex]b = \sqrt{44}[/tex]

        b = 6.6

Answer:

w = 2.5

Step-by-step explanation:

Write these 2 equations to represent the problem:

[tex]l=w+5\\2w+2l=20[/tex]

where w is width and l is length. This can then be solved as a system of equatios. I'll solve by substitution, and as the [tex]l[/tex] is already solved for at the top:

[tex]2w+2l=20\\2w+2(w+5)=20\\2w+2w+10=20\\4w+10=20\\4w=10\\w=2.5[/tex]

If you just need the width, then you're already done there. I'll find  the other variable too, and then check it to be sure it's correct.

[tex]l=w+5\\l=(2.5)+5\\l=7.5[/tex]

Now, confirm that with the second equation:

[tex]2w+2l=20\\2(2.5)+2(7.5)=20\\5+15=20\\20=20[/tex]

The perimeter of a rectangle is the sum of its side lengths.

The width of the rectangle is 2.5 units

Represent the length with l and the width with w.

So, we have:

[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter

The perimeter is 20 units.

So, we have:

[tex]20 =2 \times (l + w)[/tex]

Divide both sides of the equation by 2

[tex]10 =l + w[/tex]

The length is said to be 5 more than its width.

So, we have:

[tex]l =5 + w[/tex]

Substitute 5 + w for l in [tex]10 =l + w[/tex]

[tex]10 = 5 + w + w[/tex]

[tex]10 = 5 + 2w[/tex]

Subtract 5 from both sides

[tex]5 = 2w[/tex]

Divide both sides by 2

[tex]2.5 = w[/tex]

Rewrite as:

[tex]w =2.5[/tex]

Hence, the width of the rectangle is 2.5 units

Read more about perimeters at:

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Answer:

5^-18 or 1/(5^18)

Step-by-step explanation:

(5^-8) (5^-10)

= 5^(-8 + -10)

= 5^-18

or 1/(5^18)

Answer:

D. 2900.

Step-by-step explanation:

Because it ends in 00.

Answer:

D. 2900

Step-by-step explanation:

It ends in 900, which is already at the nearest 100.

101 would change to 100

990 would change to 1000

1150 would change to 1200

Step-by-step explanation:

3/12 7/10

Make the Denominators same

3*5/12*5 = 15/60

7*6/10*6 = 42/60

Common Denominator is 60

Step-by-step explanation:

28^2+x^2=32^2

784+x^2=1024

x^2=240

x=15.49

x=~15.5

Answer:

700 foundations is the answer

Answer:

500 foundations

Step-by-step explanation:

Answer:

Well, I think this is correct:

Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept.  So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)

Sorry if I'm wrong.

Hope this helps! :)

Answer:

boom bam bam boom bam ba

The correlation coefficients off both the scatter plots are mentioned above.

        [tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]

       where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of        

       X and Y.

Given are the scatter plot graphs as shown.

For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8

For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45

Therefore, the correlation coefficients off both the scatter plots are mentioned above.

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x=8

Explanation:

the opposite side is 72, which means I have to make 9x end up equaling 72.

72÷9

////

72/9

=8

9×8=72

Therefore

the value of x is 8.

Answer:2.4 or 12/5

Step-by-step explanation:  (4 4/5)/2 = 2.4

Answer:

27/70

Step-by-step explanation:

27/70 is the simplest form anyway

but it's 0.385 if we calculate

Answer:

x=1,y=1

Step-by-step explanation:

For this problem, we can use the substitution method. Since we know that x is equal to 2y-1, we can rewrite the first equation as 2(2y-1)+y=3. Now solving we get:

4y-2+y=3

5y-2=3

5y=5

y=1

Now we can plug in 1 for y in the second equation and get:

x=2(1)-1

x=1

This means that x=1, and y=1

Answer: B

Step-by-step explanation:

Reflection does preserve side length and dilation preserves angles.

The solution is Option B.

The reflection preserves the side lengths of the triangle ABC and the dilation preserves angles but not side lengths

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the triangle be represented as ΔABC

Now , Triangle ABC is reflected across the y-axis and then dilated by a factor of 2 centered at the origin

And , when you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

So , only the x coordinate of the point changes and there is no change in the angles or the side lengths

Now , dilation changes the side lengths of the triangle by a factor of 2

But there is no change in the angles of the triangle after a dilation

Hence , reflection preserves the angles and side lengths of a triangle

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The formula to find the volume of a cube is:

volume= a^3

OR

volume= a*a*a

(a stands for the side length)

The way you would write it is:

V=2.8^3

Then you solve.

You would get 21.952

But since you need to round to the tenth place it would be:

22

Hope this helps! :)

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

You can convert all the percentages and fractions into decimals for better comprehension.

0.0005

1/5/100 = 0.002

5/1000 = 0.005

5% = 0.05

50/100 = 0.5

50

500% = 500

Answer:

0.0005, 1/5/100, 5/1000, 5%, 50/100, 50, 500%

Step-by-step explanation:

Answer: 

Answer:[tex] m\angle A = 72\degree \m\angle B = 108\degree [/tex] Step-by-step explanation:ABCD is a parallelogram. Since, op

Answer:

y = 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x + 12 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes , then

y = 4x + c ← is the partial equation

To find c substitute (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

The answer would be -8 1/6.

Answer:

Its already in factored form.

Step-by-step explanation:

Answer:

x^2 - 4x - 12

Step-by-step explanation:

Using FOIL (first, outside, inside, last), multiply each term in the order:

you should get ---> x^2 + 2x - 6x - 12

now, add like terms

you should get ---> x^2 - 4x - 12

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

Answer:

22 miles per hour

Step-by-step explanation:

1. Formula: speed = distance/time

2. s = 51.7 mi ÷ 2.35 hrs

3. s = 22 miles per hour

Answer:

a = 54, b = 54, c = 36

Step-by-step explanation:

a + 90 + 36 = 180

a = 180 - 90 - 36

a = 54

b is the same as A

c + b (which is 54) + 90 = 180

c + 54 + 90 = 180

c = 36