If the surface area of a cylinder is given by SA =
2nr^2+2nrh, calculate the height if the surface area is 30n and the radius is 2.

Answer:

x= -0.5

Step-by-step explanation:

2x-4+2x+16=10

4x+12=10

4x=-2

x=-1/2

Step-by-step explanation:

(x-2) 2 +(x+8) 2 = 10

x-2 + 2× x 2×8 + 2 = 10

x - 2 + 2x + 16 + 2 = 10

x + 2x + 16 - 2 + 2 = 10

3x + 16 = 10

3x = 10-16

3x = -6

3x÷3x = 6 ÷ 3

x = -2

Problem 22

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

Explanation:

Segments XY and YZ add up to segment XZ

XY + YZ = XZ

(x+6) + (3x+1) = 5x

4x+7 = 5x

7 = 5x-4x

7 = x

x = 7

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

Problem 23

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

Explanation:

We'll use the result in the previous problem to find that,

XY = x+6

XY = 7+6

XY = 13

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

Problem 24

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

Explanation:

Similar to problem 23, we'll use the value of x = 7 to find that,

YZ = 3x+1

YZ = 3*7+1

YZ = 21+1

YZ = 22

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

Problem 25

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

Explanation:

We have two options. We could add the results of the last two problems

XZ = XY + YZ = 13+22 = 35

Or we could compute XZ directly like so

XZ = 5x = 5*7 = 35

Either way, we get the same result. The fact we get the same value both times helps confirm we have the correct x value and the correct lengths of XY and YZ.

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The segment addition postulate states the given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC. In another word, if 3 points A, B, and C are collinear and B is between A and C, then AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Given information

XY = x + 6

YZ = 3x + 1

XZ = 5x

Given expression deducted according to the segment addition postulate

XY +YZ = XZ

Substitute values into the expression

x + 6 + 3x + 1 = 5x

Combine like terms

4x + 7 = 5x

Subtract 4x on both sides

4x + 7 - 4x = 5x - 4x

x = 7

Find the value of XY

XY = x + 6 = (7) + 6 = 13

Find the value of YZ

YZ = 3x + 1 = 3 (7) + 1 = 22

Find the value of XZ

XZ = 5x = 5 (7) = 35

Check:

Left-hand side: XY + YZ = 13 + 22 = 35

Right-hand side: XZ = 35

35 = 35

Hope this helps!! :)

Please let me know if you have any questions

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

Answer:

V = 315 degrees

K = 280 degrees

Y = 190 degrees

Q = 225 degrees

Step-by-step explanation:

since its estimated its ok if im a little wrong right?

Answer:

49.0(714285) or 49 and remain 1

Step-by-step explanation  

687/14 = 49

49*14 = 686

687 - 686 = 1

49 and remain 1 (Remain Method)

1/14 = .0714285714285714285.... => .0(714285)

Now add 49 to the result, we get 49.0(714285)

Good luck!

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions. They look the same except for their signs.

this is based off what I know I hope it helps

Answer:

x =24

Step-by-step explanation:

3(x + 4) = 4(x -3)

3x + 12 = 4x -12

add 12 to both side

3x + 24 = 4x

subtract 3x

24 = x

Answer:

the value of x = 61

I hope it's helps you

Answer:

t(5x + 4)

Step-by-step explanation:

im not entirely sure if this is correct

Answer:

t×(5x+4)

Step-by-step explanation:

factor out t from the expression

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

For every 2 hours, the number goes up 140 miles.

Note: it does not ask for the MPH, it asks for Rate of Change.

Rate of Change is asking for the difference between numbers from one circumstance to the next. For example, in this question, as the table goes up 2 hours in each section, so does miles traveled. Calculate the difference in miles driven for each section to concur that the Rate of Change is 140.

Answer:

70 mph

Step-by-step explanation:

The rate of change is measured as the ratio of the difference between any 2 ordered pairs from the table

Using (4, 280 ) and (6, 420 ) , then

rate of change = [tex]\frac{420-280}{6-4}[/tex] = [tex]\frac{140}{2}[/tex] = 70 mph

Answer:

65 kph

Step-by-step explanation:

There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65

Answer:

angle 1 + angle 2 = ∠DEB

angle 7 + angle 8 = ∠NEG

angle 1 + angle 6 = ∠NEA

Answer:

x 1 / 2 / 3 / 4 / 5

y -3 / 3 / 11 / 21 / 33

you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y

example

1^2 + 3(1) -7 = -3

x= 1

y=-3

and you can use those coordinates to graph them

(1,-3) (2,3) (3,11) (4,21) (5,33) and so on

Answer:

The correct choice is option B. (5, 2)

Step-by-step explanation:

The rotation rule of 180° is = (x ,y) -> ( -x , -y) .

Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .

Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.

Answer:

40.3

Step-by-step explanation:

62×(1-35%)= 40.3

100% - 35% = 65%

The toasters sale price is 65% of the original price:

$62 x 0.65 = $40.30

Sale price = $40.30

Answer:

Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

Step-by-step explanation:

Let the average rate (in miles per hour) at which Anthony travels by car be c and by bike be b.

His average rate of speed by car is 24 miles per hour faster than his average rate of speed on bike. In other words:

[tex]c = b + 24[/tex]

Anthony travels 48 miles by car in the same amount of time it takes him to travel 12 miles by bike.

Recall that distance is given by the rate multiplied by the time t.

Hence, c multiplied by time t equals 48 miles:

[tex]\displaystyle ct = 48[/tex]

Likewise, b multiplied by the same time t equals 12 miles:

[tex]bt = 12[/tex]

Solve. We can multiply the second equation by four:

[tex]4bt = 48[/tex]

Substitute:

[tex]ct = 4bt[/tex]

Divide:

[tex]c = 4b[/tex]

Since c = b + 24:

[tex](b + 24) = 4b[/tex]

Solve for b. Subtract:

[tex]24 = 3b[/tex]

And divide:

[tex]b = 8\text{ miles per hour}[/tex]

Hence, Anthony bikes at an average rate of 8 miles per hour.

Since his average speed by car is 24 miles per hour faster, his average speed by car is 32 miles per hour.

In conclusion, Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

Answer:

it's 4/5 cause no. of division is 5 and it's on 4 place therefore it's 4/5

Answer:

4/5 is the correct answer

Answer:

no

Step-by-step explanation:

similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent

Answer:

2.8

Step-by-step explanation:

If u divide 14 into 5, you get a decimal, 2.8.

2.8

simply asking for the answer to 14 divided by 5 it is 2.8

(if anything further is required i’ll try my best to help! )

am I supposed to do the picture one or the you type

The equations are alike because all of their variables are equivalent to 6. Another similarity is that they are all one-step equations, meaning they can be solved with just one operation.

[tex]4a=24\\a=6[/tex]

[tex]c-1.2=4.8\\c=6[/tex]

[tex].5b=3\\b=6[/tex]

[tex]d + 5.5=11.5\\d=6[/tex]

These equations are different because require different operations to find their variables. Their terms, excluding the variable, also have differnt values.

Have a nice day. Feel Free to ask Questions. Spread The Love.

Answer:

118

Step-by-step explanation:

6+1(7×17)-7

=6+1(119)-7

=6+119-7

=125-7

=118

Please mark me brainliest.

Answer: 118

Step-by-step explanation:

Given expression

6 + 1 (7 × 17) - 7

Simplify values in the parentheses

=6 + 1 (119) - 7

Simplify by multiplication

=6 + 119 - 7

Simplify by addition/subtraction

=125 - 7

=[tex]\boxed{118}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

2/5k + 31/4

Step-by-step explanation:

8+ 2/3k-4/15k-1/4

2/3k - 4/15k + 8 - 1/4

(5)(2/3k) - 4/15k + 8 - 1/4

10/15k - 4/15k + 31/4

6/15k + 31/4

2/5k + 31/4

Answer:

32/3 = 10 2/3

Step-by-step explanation:

I assume you're asked to find [tex]7^{4k}\pmod{100}[/tex] for positive integer k. To start, notice that

[tex]7^4 \equiv 7^3\times7 \equiv 343\times7 \equiv 43\times7 \equiv 301 \equiv 1\pmod{100}[/tex]

Then for every k, we have

[tex]7^{4k} \equiv (7^4)^k \equiv 1^k \equiv 1 \pmod{100}[/tex]

Answer:

D this will be your answer

d.between 44 and 46

for sure it is the correct answer