What is the area of 6 and 12 obtuse triangle

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".

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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"

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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.

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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.

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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

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Answer:

the opposite sides in a rectangle are equal

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

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.

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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.

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: $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

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]

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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:

16/49

Step-by-step explanation:

DIVIDE 4/7 BY 1 3/4

Answer:

3 miles/h

Step-by-step explanation:

You can set up a division problem to represent the equation.

12 miles÷4 hours=3 miles/hr

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]

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

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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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)

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.

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Answer:

444.943

Step-by-step explanation:

Subtract 52.12 from 497.063, and you get 444.943.

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

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:

aaaaaa

Step-by-step explanation:

did it on edge

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)

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.

Answer:

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

Step-by-step explanation:

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:

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

Step-by-step explanation:

Answer:

31.41

Step-by-step explanation:

Substitute

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!

Answer: the fourth one

Step-by-step explanation:

your welcome :)