Find the circumference.
Use 3.14 for π.
O
r = 6 ft
C = [?] ft
C = πd

Answer:

198.78m

Step-by-step explanation:

1. Find the area of the circles:

[tex]a = r^{2}\pi[/tex]

[tex]a = \frac{3}{4} * 4^{2} *\pi[/tex]

[tex]a = 37.7[/tex]

Since there are 2 circles we need to times this value by 2:

[tex]37.7 *2 = 75.4[/tex]

2. Now let's find the area of the regtangular figures

[tex]4 * 6 * 2 = 48[/tex]

3. Now the circular part of the outside of the cylinder

[tex]4 * 2 * \pi = 25.13[/tex]

[tex]25.13 * 6[/tex] = 150.78

Since this is not the actual value we need to find 25% of this value and subtract it.

[tex]150.78 - 150.78*0.25 = 150.78 - 37.7 = 113.08[/tex]

4. Let's add these values together

[tex]113.08 + 48 + 37.7[/tex] = 198.78m

Answer:

31.41

Step-by-step explanation:

Substitute

2 years

Step-by-step explanation:

Principle = Rs. 2000

Rate of Interest = 10%

Amount = Rs. 2420

Formula used = P(1+R/100)^T

=> 2420 = 2000 ( 1+10/100)^T

=> 2420 = 2000 (10+1/10)^T

=> 2420 = 2000 (11/10)^T

=> 2420/2000 = (11/10)^T

=> 121/100 = (11/10)^T

=> 11/10 = (11/10)^T

=> 2 years.

convert both heights to inches:

Jack = 12 x 6 = 72 + 3 = 75 inches tall

Hill = 12 x 5 = 60 + 8 = 68 inches tall

now subtract:

75-68 = 7 inches

Jack is 7 inches taller

Step-by-step explanation:

here is your answer, step by step

Probability helps us to know the chances of an event occurring. The probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of 3, 4 or 5 can be written as,

P(3, 4 or 5) = 3/6 = 1/2

Hence, the probability of getting a 3, 4 or 5 when a dice is rolled once is 1/2.

Learn more about Probability:

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The square of the altitude is equal to the product of the base of the triangles

The square of the altitude is equal to the product of the base of the triangles. The length of line segment GJ is 8units

According to the theorem;

GJ² = HJ*JF

Determine the value of x using the pythagorean theorem

[tex]x^2+x^2=16\\2x^2=16\\x^2=8\\x=\sqrt{8}\\x=2\sqrt{2}[/tex]

According to the theorem;

GJ² = HJ*JF

HJ + JF = 16

Since HJ = JF, hence

HJ = JF = 8

Substitute

GJ² = HJ*JF

GJ² = 8 * 8
GJ² = 64

GJ = 8units

Hence the length of line segment GJ is 8units

Learn more on triangular altitude theorem here: https://brainly.com/question/14357999?source=archive

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Answer:

8

Step-by-step explanation:

Answer:

2x + 2x + x =180
x = 36 degree

Step-by-step explanation:

Step-by-step explanation:

when 2 objects are similar, that means that all the angles of one object are the same as the angles in the other object. and - the scaling factor of one pair of correlating sides is the same for all pairs of correlating sides.

therefore,

x/2.7 = 4.8/3.6 = 4/3

x = 4×2.7/3 = 4×0.9 = 3.6 m

Answer:

area is length x width multiply one side by the other

Step-by-step explanation:

Answer:

7.4 in

Step-by-step explanation:

Surface area of a cube = 6s²

(where s is the side length)

Given:

Substituting the given value into the formula and solving for s:

⇒ 328.56 = 6s²

⇒ 328.56 ÷ 6 = 6s² ÷ 6

⇒ 54.76 = s²

⇒ s = √54.76

⇒ s = 7.4 in

TSA of a cube=328.56

Side be x

Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Answer:

The mode of a data set is ALWAYS equal to the mean.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

There are 30 possible types of sandwiches .

5 meats x 3 different types of bread x 2 types of cheese=  30

The single transformation that maps shape a onto shape b is [tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

From the figure, we have the following highlights

The above highlights mean that the triangle A must be translated 5 units left and 5 units down to get triangle B.

This is represented as:

(x,y) -> (x - 5, y - 5)

By vector representation, we have:

[tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

Hence, the single transformation that maps shape a onto shape b is [tex]\left[\begin{array}{c}-5&-5\end{array}\right][/tex]

Read more about transformation at:

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Answer:

the opposite sides in a rectangle are equal

Answer:

y = -x + 4

Step-by-step explanation:

y = mx + b

m - since the line is going downwards. the slope is negative

slope = rise / run = 1 / 1 = 1 but negatuve siunce diwnawards

b - this the y - intercept (when x = 0), the point of intersect is (0, 4)

Answer: $21.75

Step-by-step explanation:

356*.0625 = 22.25

so 6.25% of 356 = $22.25

356+22.25 = $378.25 (this is how much he owes)

400-378.25 = $21.75

So he recieves $21.75 back

Answer:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

Answer:

B. 1/8

Step-by-step explanation:

Chance of each number = 1

Total number of chances = 8 (including 0)

Therefore,

Chance that each number will occur = 1/8

Hope it helps:)

Have a good day!

The slope of the equation will be 12 and the y-intercept of the equation will be 200.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

You're learning yoga in a fitness center that charges a $200 registration fee plus $12 per lesson.

If an equation is made to calculate the total charge you need to pay.

Let y be the total amount and x be the number of the lesson. Then we have

y = 12x + 200

Then the slope of the equation will be 12 and the y-intercept of the equation will be 200.

More about the linear system link is given below.

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78 is the answer

Step-by-step explanation:

The two angles are complementary so m<A + m<B = 90

we are given m<A = 3x + 9 and m<B = x - 11

substituting we get 3x + 9 + x - 11 = 90

4x - 2 = 90

4x = 92

x = 23

m<A = 3x + 9 = 3(23) + 9 = 78

Answer: the fourth one

Step-by-step explanation:

your welcome :)

Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

Answer:

Step-by-step explanation:

a) Reflection over the x axis then a translation directly to the right

b) All the figures are conrguent since only rigid motions were used.

The parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

The distributive property says that the product of a number and sum of two numbers is equal to the addition of the product of that number with the individual number of the sum.

c×(a+b)=ac+ab

The given expression in the problem is,

(-2+2w+4w)(-7)

Now, use the distributive property to remove the parentheses as,

(-2+2w+4w)(-7)

-2×-7+2w×-7+4w×-7

-14-14w-28w

-14-42w

Hence, the parentheses of the expression (-2+2w+4w)(-7) is removed using the distributive property and the resultant expression is -14-42w.

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Problem 7 (a)

Pick any two values you want for the radius and height (r and h). Repeats are allowed.

I'll go with r = 1 and h = 1

Compute the surface area of the cylinder with these parameters.

SA = 2pi*r^2 + 2*pi*r*h

SA = 2pi*1^2 + 2pi*1*1

SA = 2pi + 2pi

SA = 4pi

Now double the radius. We go from r = 1 to r = 2. Keep the height the same and compute the new surface area.

SA = 2pi*r^2 + 2*pi*r*h

SA = 2pi*2^2 + 2*pi*2*1

SA = 8pi + 4pi

SA = 12pi

The jump from 4pi to 12pi is "times 3".

========================================================

Problem 7 (b)

Let's go back to r = 1 and h = 1 again.

LSA = lateral surface area of the cylinder

LSA = 2*pi*r*h

LSA = 2*pi*1*1

LSA = 2pi

Now double r, but keep h the same

LSA = 2*pi*r*h

LSA = 2*pi*2*1

LSA = 4pi

Going from 2pi to 4pi is a jump of "times 2"

========================================================

Problem 7 (c)

We'll go back to r = 1 and h = 1.

Compute the volume of this cylinder.

V = pi*r^2*h

V = pi*1^2*1

V = pi

Then compute the volume with double the radius, but the same height

V = pi*r^2*h

V = pi*2^2*1

V = 4pi

The volume has quadrupled since we have gone from pi to 4pi.

========================================================

Problem 8

The volume of the block, before the half cylinders are removed, is 10*3*8 = 240 cubic inches.

The two half cylinders removed can be rearranged to combine to a full cylinder. This empty space cylinder has a radius of 8/2 = 4 inches and height 3 inches. This means we'll be kicking out the volume of pi*r^2*h = pi*4^2*3 = 48pi cubic inches of empty space.

The resulting volume of this weird looking solid is 240-48pi cubic inches.

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

The front panel is a 3 in by 10 in rectangle. It has area of 3*10 = 30 square inches. The same goes for the back wall.

The top or ceiling panel is going to involve us first finding the area of the 8 by 10 rectangle (if you didn't remove those circular portions). So we have 8*10 = 80 square inches to start with. Then we kick out the circle of radius 4. So the top and bottom panels have area of 80 - 16pi square inches each.

The left and right curved walls are the lateral sides of a full cylinder of radius 4 inches and height 3 inches. This is when we combine the two curved sides to form one cylinder.

LSA = 2*pi*r*h = 2*pi*4*3 = 24pi

This means each curved wall is 24pi/2 = 12pi square inches in surface area

Now add up the 6 sides mentioned

(front)+(back)+(top)+(bottom)+(left)+(right)

(30)+(30)+(80 - 16pi)+(80 - 16pi)+(12pi)+(12pi)

220-8pi

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

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

[tex]y=mx+b[/tex]

Using the slope-intercept form, the slope is 2.

[tex]m=2[/tex]

So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.

We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]

Now we simplify the equation and keep it in point-slope form.

[tex]y-7=2[/tex]  × [tex](x-2)[/tex]

Simplify [tex]2[/tex] × [tex](x-2)[/tex]

[tex]y-7=2x-4[/tex]

[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]

[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]

[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]

[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]

Last, We move all terms not containing y to the right side of the equation.

Add 7 to both sides of the equation.

[tex]y=2x-4+7[/tex]

Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]

Answer:

Step-by-step explanation:

You need to first put the numbers in suitable catagories

0-120

120-130

130-140

140-150

then figure out the frequency of them

0-120=4

121-130=20

131-140=2  

141-150=2

then put in a graph(sry its not very good i was in a rush)