The quantity q varies inversely with the square of m and directly with the product of r and x. when m is 4 and the product of r and x is 8, q is 2.5. what is the constant of variation? five-eighths five-fourths 5 10

Answer:

Area of Triangle A = 4 cm²

Area of Rectangle = 24 cm²

Area of Triangle B = 4 cm²

Area of Trapezoid = 32 cm²  

Step-by-step explanation:

The formula to find the area of a triangle is: [tex]\frac{h_bb}{2}[/tex]

The base (b) is 2 and the height (h) is 4.

Now multiply,

2 times 4 = 8

Then divide,

[tex]\frac{8}{2}[/tex] which equals 4.

So the area of Triangle A and B is 4 cm² because they are the same triangles.

The formula to find the area of a rectangle is: a times b.

a=6 and b=4

Multiply,

6 times 4 = 24

So the area of the rectangle is 24 cm²

The formula to find the area of a trapezoid is: [tex]\frac{a+b}{2}h[/tex]

A=6

B=10

H=4

So now,

[tex]\frac{6+10}{2}4[/tex]

6+10=16

16 divided by 2 is 8.

Last multiply,

8 times 4 is 32.

The area of the trapezoid is 32 cm²

Hope this helped! And have a great day!

If the area and width of the rectangle are 45x² − 42x − 48 and (5x − 8) then the length of the rectangle will be (3x + 2).

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle has an area of 45x² − 42x − 48 and a width of 5x − 8.

Then the length of the rectangle will be

area = length × width

Then we have

Area = 45x² − 42x − 48

Then the factor of the polynomial will be

Area = (5x − 8)(3x + 2)

Then the length of the rectangle will be (3x + 2).

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

First blank is Dividend.
Second blank is Divisor
INCLUDED WHOLE PAGE!!
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Answer:

$ 439.19

Step-by-step explanation:

Volume of a cylinder =   pi r^2 h        r =  .5 ft     h = 20 ft

        V = pi (.5^2)(20)

   multiply V * 27.96 to get  $ 439.19

Answer:

x² + 8x + 7

Step-by-step explanation:

A = bh

B = x + 7

H = x + 1

A = (x+7)(x+1)

= x² + x + 7x + 7

= x² + 8x + 7

Answer:

Each person will recieve between 3 and 4 liters

Step-by-step explanation:

Carrie makes 27 liters of lemonade and 8 people share the lemonade equally. If we divide the amount of liters of lemonade by the number of people we will get the amount of lemonade each people will get.

27/8 = 3.375

3.375 is in between 3 and 4 so each person will get between 3 and 4 liters of lemonade

To find the percentage, we must move the decimal place to the right two times. After doing this, 0.66 written as a percentage is 66%.

Answer:

66%

Step-by-step explanation:

All you do is put the decimal places two please to the right or do the number times 100.     .66 times 100= 66%

Work Shown:

A = area of the base

A = length*width

A = 9*10.1

A = 90.9

V = volume of the pyramid

V = (1/3)*(Area of the base)*(height)

V = (1/3)*(90.9)*(6)

V = 181.8

The units for the volume are in cubic inches. The result is exact.

Step-by-step explanation:

13(16.5)+12(16.5)+5(16.5)

16.5(13+12+5) = 30(16.5) = 495 ft²

Circular equations are organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

To find the equation of this circle, we must determine two things:

To determine the radius of the circle, find the distance between the given endpoints and divide by 2:

(6, 0) and (-6, 0)

⇒ There are 6 units between (0,0) and (6,0).

⇒ There are 6 units between (0,0) and (-6,0).

⇒ 6 + 6 = 12; the diameter of the circle is 12 units

⇒ 12 / 2 = 6

Therefore, the radius of the circle is 6 units.

To determine the center of the circle, find the midpoint of the given endpoints:

(6, 0) and (-6, 0)

⇒ The midpoint occurs at the very middle of these two points. The distance between the midpoint and (6,0) is equal to the distance between the midpoint and (-6,0).

⇒ We identified earlier that there are 6 units between (0,0) and (6,0), and that there are 6 units between (0,0) and (-6,0).

Therefore, the center of the circle is (0,0).

Plug the center and the radius into the equation:

[tex](x-h)^2+(y-k)^2=r^2\\x^2+y^2=6^2\\x^2+y^2=36[/tex]

[tex]x^2+y^2=36[/tex]

To build a scale model we must take into account the original measurements of the original house.

A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.

To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.

For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.

Learn more about scale model in: https://brainly.com/question/19512201

Answer: A

Step-by-step explanation:

Circular equations are typically organized like this:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We're given:

Plug the given information into the formula:

[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-1)^2=(\sqrt{14})^2\\(x+5)^2+(y-1)^2=14[/tex]

[tex](x+5)^2+(y-1)^2=14[/tex]

Answer:

3/4 = x

Step-by-step explanation:

2/2x + 1 = 1/2

2/2x + 1 * 1/2x = 1/2 * 1/2x

2 + 1 = 1/4x

3 = 4x

3/4 = 4x/4

3/4 = x

Answer:

See below ~

Step-by-step explanation:

Option A

Option B

Option C

Option C has the lowest rate, hence it is the best deal.

Answer:

Step-by-step explanation:

I did two of them for you

Use distributive on the right side and you will find the correct answer

The screen shot should help you.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Circumference of the wheel is :

[tex]\qquad \tt \dashrightarrow \:c = 2 \pi r[/tex]

Number of revolutions = 13, and distance travelled is 65 m.

So, we can infer that :

[tex]\qquad \tt \dashrightarrow \:c = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

Now, equate both the equations ~

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{distance \: covered}{number \: of \: revolutions} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = \frac{65}{13} [/tex]

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 5[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{2 \pi} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{3.14 \times 2} [/tex]

[tex]\qquad \tt \dashrightarrow \:r = \frac{5}{6.28} [/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx0.8 \: m[/tex]

[tex]\qquad \tt \dashrightarrow \:r \approx80 \: cm[/tex]

[ To the hundredth place : 0.796 m ]

Answer:

546

Step-by-step explanation:

Each square inch is equal to 6.5 square centimeters so you can multiply

84 × 6.5 = 546So, the area is 546 square centimeters.

Hope this helps =>

Answer:

[tex]541.93\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area in square centimeters

[tex]84\ in^2 * \frac{(2.54\ cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{(2.54)^2 * (cm)^2}{in^2}[/tex]

[tex]84\ in^2 * \frac{6.4516\ cm^2}{in^2}[/tex]

[tex]541.9344\ cm^2[/tex]

Answer: [tex]541.93\ cm^2[/tex]

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 128 and 144 is 16Divide both the numerator and denominator by the GCD

128 ÷ 16144 ÷ 16Reduced fraction: 89

Therefore, 128/144 simplified to lowest terms is 8/9.

We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.

Here we need to perform a change of units procedure.

We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.

Then we can write the relation:

1964 markas = $1357

Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:

(1964 markas)/1357 = $1357/1357

1.447 markas = $1

This means that the exchange rate is 1.447 markas per U.S. dollar.

If you want to learn more about changes of units, you can read:

https://brainly.com/question/9032119

Answer:

256/3π

Step-by-step explanation:

Volume of Sphere: [tex]\frac{4}{3}\pi r^3[/tex]

So by subbing into the equation:

[tex]\frac{4}{3} \pi 4^3[/tex] = 4/3π x 64 = 256/3 π

kil this monkey its gonna touch me

Answer:

(C)  [tex]\frac{4x^{4} }{y{6}}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

h=vt-16t²+s

t= -b/2a

t= -2/.4

t=5 seconds

h= -0.2(5)²+2(5)

h= -0.2(25)+10

h= -5+10

h= 5ft

It takes 5 sec. to reach its max height so it will take 5 sec. to hit the ground so 5+5=10 10 sec. total.

Answer:

16.5 m

Step-by-step explanation:

The triangle shown in the figure is a right triangle, so we can use the Pythagoreas Theorem.

a² + b² = c²

a² + 32² = 36²

a² + 1024 = 1296

a² = 272

a = √272

a = 16.5

Answer: 16.5 m

Answer:

y=4z-3

Step-by-step explanation:

Answer:

your answer is 12

Step-by-step explanation:

Base 7 Area 42

Using the formula

A= hb over 2

Solving for hb

hb=2A

b=2·42

7=12

hope this is not to confusing but the answer is 12.

Answer:

The empirical rule, also known as the 68 - 95 - 99.7 rule, is a statistical rule that states that in regular distribution, virutally every piece of data will fall within three standard deviations. More specifically, 68% of the data will be within one standard deviation of the mean, 95% will lie in two standard deviations, and 99.7% will be within three standard deviations.

Step-by-step explanation:

Explanation above.

hope this helps :)

Answer:

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

Step-by-step explanation: