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The circumference of a circle with radius 8 inches is 50.2 inches

The circumference of a circle can be calculated as follows;

circumference of a circle = 2πr

where

Therefore,

circumference of a circle = 2 × 3.14 × 8

circumference of a circle = 16 × 3.14

circumference of a circle = 50.24 inches

circumference of a circle = 50.2 inches

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The circle and the lines AC & AB are illustrations of congruent angles

See below for the proof that the angles ∠ACB and ∠MAB are equal

To prove that ∠MAB=∠ACB, we make use of the attached diagram

From the attached diagram, we have:

∠MAB = x°

The angle at between a tangent and a radius or a diameter is a right angle.

This means that:

∠MAB + ∠BAC = 90°

Substitute ∠MAB = x°

x° + ∠BAC = 90°

Subtract x from both sides

∠BAC = 90° - x°

The angle at in a semicircle is a right angle.

This means that:

∠CBA = 90°

The angles in a triangle add up to 180°.

So, we have:

∠BAC + ∠CBA + ∠ACB = 180°

Substitute ∠CBA = 90° and ∠BAC = 90° - x°

90° - x° + 90° + ∠ACB = 180°

Evaluate the like terms

180° - x° + ∠ACB = 180°

Subtract 180° from both sides

- x° + ∠ACB = 0

Add x° to both sides

∠ACB = x°

Recall that:

∠MAB = x°

So, we have:

∠ACB = ∠MAB = x°

Hence, the angles ∠ACB and ∠MAB are equal

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Answer:

Given :-

To Find :-

Solution :-

Volume = l ×b ×h /3

Volume = 4.5 × 4.5 × 5 cm/3³

Volume = 101.25/3 cm³

Volume = 33.75 cm³

Answer:

Step-by-step explanation:

After reading question we can understand that the all these measurements are of pyramids .

So In the question we are given ,

We know that in pyramid length and width are equal to base of a square . Therefore ,

[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]

Where ,

Now , substituting values of l , w and h :

[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]

Now , by multiplying 4.5 , 4.5 and 5 , We get :

[tex] \longmapsto \: \frac{101.25}{3} [/tex]

Now , by dividing 101.25 by 3 , We get :

[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]

Answer:

h = 46

Step-by-step explanation:

Have unknowns (h) on one side and knowns on other side.

-18 + h = 28       Add 18 on both side to move it to the right side.

h = 28 + 18

h = 46

Answer:

Step-by-step explanation:

Isolate the term of h from one side of the equation.

First, switch sides.

⇒ h-18=28

Add by 18 from both sides.

⇒ h-18+18=28+18

Solve.

Add the numbers from left to right.

⇒ 28+18=46

⇒ h=46

I hope this helps! Let me know if you have any questions.

Answer:

Options A, B & D

Step-by-step explanation:

[tex]5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]

Hope tis helps

Answer:

B

Step-by-step explanation:

[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]

[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]

[tex]1 + 40x = 5 \times 1[/tex]

[tex]1 + 40x = 5[/tex]

[tex]40x = 5 - 1[/tex]

[tex]40x = 4[/tex]

[tex] \frac{40x}{40} = \frac{4}{40} [/tex]

[tex]x = \frac{1}{10} [/tex]

Answer:

1/10

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

divide by 2 first on both sides.

then put paranthesis on both sides and power it to the 2nd.

you get

(x-4)^2=5^2

simplify and you get x-4=25

add 4 on both sides and you get x=29!

Answer:

20 inches longer

Step-by-step explanation:

78-58= 20

Answer:

a-b

Step-by-step explanation:

The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value

Answer:

y = 3,224x + 750

Step-by-step explanation:

Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.

Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer

Answer:

3 1/16 galones = 707 pulgadas cúbicas

Step-by-step explanation:

Fórmula: multiplica el valor en gal por 231

Luego, 3 1/16 gal × 231 = 707 in³

Answer:

D) 6x+15 is the correct answer.

Step-by-step explanation:

You need to do distributive property to simplify the expression.  

3(2x+5) is your expression

You need to multiply 3 by 2x and 5

6x+15 is your final.

Therefore, D is the correct answer.

Answer:

96 / 6 = 32 / 2 = 16 / 1 = 16 per pillow

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

To find the cost of a single pillow, you have to divide the total cost of the pillows ($96) by the number of pillows purchased (6).

96 / 6 = 16

Therefore, the cost per pillow, in dollars, is $16. I hope this helps! Have a lovely day!! :)

Answer:

27 cm²

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

Answer:

27 sq cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of triangle

= 6*6 -1/2(6)(3)

= 36 - 9

= 27 sq cm

Answer:

Below in bold.

Step-by-step explanation:

To get a stratified sample you work out the proportion of girls from each school.

From  school A we take: (126/461) * 80 = 22 girls.

From B    :-      (82/461) * 80 = 14 girls.

From C  :-        (201/461)*80 = 35 girls

From CD  :-      (52/461)*80 =   9 girls.

A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The factor of the f(x) is given as;

[tex]\rm (x+k)[/tex]

The factors satisfy the equation as;

[tex]\rm (x+k)=0 \\\\ x=-k[/tex]

Hence one root of f(x) is x = -k, The correct answer is option C.

To learn more about the factors refer to the link;

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Answer:

Option C

Step-by-step explanation:

Answer:

3 with an arrow pointing to the left

Step-by-step explanation:

A discount is the amount of money that is removed from the original price. The original price of the dishwasher is  $438.

A discount is the amount of money that is removed from the original price of a commodity when it is being sold.

We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.

Let the original price be x

x - 17.5/100x = 361.35

82.5x/100 =  361.35

x =  361.35 * 100/82.5

x =  $438

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[tex]\log_4 (2-x) = \log_4 (-5x-18)\\\\\implies 2-x = -5x -18\\\\\implies 5x -x = -18-2\\\\\implies 4x = -20\\\\\implies x = -\dfrac {20}4\\\\\implies x = -5[/tex]

The equations y = 3x - 4 and y = 3x + 1 are linear equations

The equations have no solution

The equations are given as:

y = 3x - 4

y = 3x + 1

Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1

From the graph (see attachment), we can see that the equations do not have a point of intersection

Hence, the equations has no solution

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Answer:

Your answer is £1,760

Step-by-step explanation:

1 kg = £5.50

5.50 x 320 = 1,760

Answer:

  125 mL

Step-by-step explanation:

Susan's purple paint has the proportions 2 parts red and 3 parts blue. That means the total amount of paint is (2+3)/2 = 5/2 the amount of red paint, or (2+3)/3 = 5/3 the amount of blue paint.

__

The total amount of paint Susan has is 50 mL +100 mL = 150 mL.

If Susan uses all of her red paint (with sufficient blue paint), she would have an amount of purple paint equal to ...

  (5/2)(50 mL) = 125 mL . . . . purple paint

If Susan uses all of her blue paint (with sufficient red paint), she would have an amount of purple paint equal to ...

  (5/3)(100 mL) = 166 2/3 mL . . . . purple paint

This is more paint than Susan has, so the amount of purple paint Susan can make is limited by the amount of red paint she has. Susan can make a maximum of 125 mL of purple paint.

_____

Additional comment

Essentially, we have rewritten the proportion to show corresponding amounts of red and blue paint:

  red : blue = 2 : 3 = 50 : 75 = 66 2/3 : 100

Since Susan has only 50 mL of red, and more than 75 mL of blue, the red paint is the limiting ingredient.

Rebekah reports the volume of sugar solution using metric system as 39.1 mL. Thus, option D is correct.

The metric system has been the measurement system introduced in 1790s. The system has mediated the units for the measurement of volume, mass, length.

The volume has been the space that has been occupied by matter. The volume can be denoted with SI unit L. However, the another accepted unit for volume has been mL.

Thus, the volume of sugar solution has been reported in mL.

The given sugar solution has volume of 1.32 fl. Oz

The volume in mL can be given as:

[tex]\rm 1\ fl\ oz=29.6\ ML\\\\1.32\ fl\ oz=-1.32\times 29.6\ ML\\\\1.32\ fl\ oz=39.1\ ML[/tex]

The volume of the sugar solution reported by Rebekah on the metric scale has been 39.1 mL. Thus, option D is correct.

For more information about the metric system, refer to the link:

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Answer: 39.1 mL (D)

Step-by-step explanation:

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