The curved surface area of a right circular cylinder of height 14 cm is 88 cm². ​

Answer:

y = -1/5 x + 2

Step-by-step explanation:

y = 5x - 4

m = 5

Slope of perpendicular = -1/5

Equation of perpendicular:

y = mx + b

y = -1/5 x + b

Use point (15, -1) for x and y, and solve for b.

-1 = -1/5(15) + b

-1 = -3 + b

b = 2

Equation of perpendicular:

y = -1/5 x + 2

Answer:

whts the question 86

Step-by-step explanation:

i dk

Answer:

Step-by-step explanation:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Answer:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Step-by-step explanation:

Answer:

0 < x ≤ 11

Step-by-step explanation:

perimeter = (x - 6) + (x - 6) + x + x

⇒ perimeter = 4x - 12

If the perimeter is "at most 32" then

4x - 12 ≤ 32

⇒ 4x ≤ 44

⇒ x ≤ 11

Therefore,  0 < x ≤ 11

Answer:

(-4, 5)

Step-by-step explanation:

Hi there!
We are given the following system:
x+11y=51

3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable

It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.

x+11y=51

  -11y   -11y

_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:

3(51-11y)+5y=13

Multiply

153-33y+5y=13

Combine like terms.

153-28y=13

Subtract 153 from both sides

-28y=-140

Divide both sides by 28

y=5
Now substitute 5 as y in 51-11y to solve for x.

x=51-11y

x=51-11(5)
multiply

x=51-55

Subtract

x=-4

The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!

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Answer:

9%

Step-by-step explanation:

9.17% = 9% (to the nearest percent)

Answer:

9%

Step-by-step explanation:

9.17% to the nearest degree which in this case is percent, since .17 is above .50 or is .50 it has to be rounded down, and the nearest percent 9s 9%.

Answer:

x = 3; y = -4

Step-by-step explanation:

2(10x - 6y = 54) = ( 20x - 12y = 108)

4(-4x + 3y = -24) = ( -16x + 12y = -96)

                                   4x = 12

                                     x = 3

-4(3) + 3y = -24

-12 + 3y = -24

+12           +12

3y = -12

y = -4

Answer:

x=25.5

Step-by-step explanation:

x + 9.5 = 35

Using the subtraction property of equality, we can subtract 9.5 from both sides:

x + 9.5 - 9.5 = 35 - 9.5

x=25.5

The required solution of the given equation is given as x = 25.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x + 9.5 = 35

Subtract 9.5 from both sides.
x = 35 - 9.5
x = 25.5

Thus, the required solution of the given equation is given as x = 25.5.

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Answer:

Agency A:  y = 12x

So Agency A pays a rate of $12 per hour

Agency B:  y = 10x + 20

So Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Step-by-step explanation:

Agency A

To create a straight line equation for the data in table, use  [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.

To find the slope m, take 2 points from the table and use the slope formula.

Let [tex](x_1,y_1)[/tex] = (3, 36)

Let [tex](x_2,y_2)[/tex] = (5, 60)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12[/tex]

Now use the point-slope formula to create the final equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-36=12(x-3)[/tex]

[tex]\implies y=12x[/tex]

Therefore, Agency A pays a rate of $12 per hour.

Agency B

From inspection, the function is a straight line.

Therefore we can use the straight line equation [tex]y = mx + b[/tex],

where m is the slope and b is the y-intercept.

From inspection, we can see that the line crosses the y-axis at (0,20).  Therefore, the y-intercept is 20.

[tex]\implies y=mx+20[/tex]

Taking 2 points on the line and using the slope formula to find the slope m:

Let [tex](x_1,y_1)[/tex] = (0, 20)

Let [tex](x_2,y_2)[/tex] = (3, 50)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10[/tex]

Therefore, the final equation is:  [tex]y=10x+20[/tex]

Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Answer:

22.28

Step-by-step explanation:

Answer: 36 + 4v

Step-by-step explanation:

4*9 = 36, 4*v = v

Answer:

12 apples

Step-by-step explanation:

apples basked into a pie = 2/3 * 18 = 12

like this

you need to move the line at 2 hrs 15 to 5 hrs 15 and then adjust all your lines that connect them

Answer:

15 percent of 160 is 24, so $24

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1500\\ P=\textit{original amount deposited}\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &7 \end{cases} \\\\\\ 1500=Pe^{0.05\cdot 7}\implies \cfrac{1500}{e^{0.35}}=P\implies 1057.03\approx P[/tex]

Answer:

160

Step-by-step explanation:

16 * 10

= 160

Answer:160 meters

Step-by-step explanation: to work out the distance you have to times the speed by the time to get the distance.

Answer:

3 3/16

Step-by-step explanation:

Conversion a mixed number 8 1/2

to a improper fraction: 8 1/2=8×2+1/2=16+1/2=17/2

To find a new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2×3/3= 6/

3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Divide: 17/2×8/3=17/2×3/8=17×3/2×8= 51/

16

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 8/3 is 3/8) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen halves divided by eight thirds = fifty-one sixteenths.

51/16

3 3/16

The coordinates of the point (-1,0) after a translation 5 units to the right?

To get the coordinates of the point 1,0 after a translation 5 units to the right

The point's x-coordinate will rise by 5 units after being moved 5 units to the right, while the y-coordinate stays the same.

The starting point was at (-1, 0).

Increasing the x-coordinate by 5 units:

x-coordinate changed: -1 + 5 = 4.

Therefore, after being moved 5 units to the right, the point's new coordinates are (4, 0).

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Answer:

Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram

Answer:

Step-by-step explanation:

XN = NZ  & NY = NW

This shows that diagonals XZ & WY bisect each other.

So, this quadrilateral is a  parallelogram.

Answer:

  d = 15

Step-by-step explanation:

Divide the numbers

[tex]\frac{20}{16} =\frac{d}{12}[/tex]

[tex]\frac{5}{4} =\frac{d}{12}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]12*\frac{5}{4} =12*\frac{d}{12}[/tex]

Cancel multiplied terms that are in the denominator

[tex]12*\frac{5}{4} =d[/tex]

Multiply the numbers

[tex]15=d[/tex]

Move the variable to the left

[tex]d=15[/tex]

Hence, d= 15.

[RevyBreeze]

Answer:

False

Step-by-step explanation:

plz mark me the brainiest

The segments AC, CB, and AB can form a triangle, and the statement is true.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that AC=9 cm, CB= 8cm and AB=15cm

The segments AC, CB, and AB satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

AC + CB = 9cm + 8cm = 17cm, which is greater than AB = 15cm.

Similarly, AC + AB = 9cm + 15cm = 24cm, which is greater than CB = 8cm. CB + AB = 8cm + 15cm = 23cm, which is also greater than AC = 9cm.

Therefore, the segments AC, CB, and AB can form a triangle, and the statement is true.

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Answer:

x^3-2x^2-28x-16 is the answer

Answer:

Slope:

5

y-intercept :

( 0, -6)

Step-by-step explanation:

i dont know how to explain it

Answer:

I believe the answer is 255 miles.

The value of logarithm function log₀.₅ 462 around the four decimal places is -8.8517.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The expression is [tex]\rm log _{\frac{1}{2}} 462[/tex].

We know the formula of a logarithm.

[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]

Then we have

[tex]\rm log _{\frac{1}{2}} 462 = \dfrac{log\ 462}{log\ \frac{1}{2}}\\\\\\log _{\frac{1}{2}} 462 = \DFRAC{2.66464}{-0.3010299}\\\\log _{\frac{1}{2}} 462 = -8.852[/tex]

Thus, the value of [tex]\rm log _{\frac{1}{2}} 462[/tex] is -8.8517.

More about the logarithm link is given below.

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Answer:-8.8517

Step-by-step explanation:

Answer:

85/4

Step-by-step explanation:

21 1/4 = 85/4

Answer: Andy covers all the walls of his kitchen using 6 rolls of a wallpaper.

To Find:

Number of rolls used per wall.

Solution:

Since, we know that the shape of a kitchen is a cuboid.

And a cuboid has total 6 faces, with 4 walls, one roof and one floor.

So, total number of walls in Andy's kitchen = 4

Now, it is given that he uses 6 rolls of wallpaper to cover 4 walls completely.

In order to find the number of rolls used per wall, we'll have to divide the total number of rolls used with the total number of walls.

Number of rolls used per wall =

                                                 So, 1.5 rolls are used to cover one wall.

Step-by-step explanation:

Answer:

the mean of three numbers is 10 and the mean of four other numbers is 16.what is the mean of all seven numbers

Step-by-step explanation:

g

Answer:

The value of angle is 40 degrees

The value of angle P is 140 degrees

Therefore,

∠S = x + 15

∠p = 6x - 10

2(x + 15) + 2(6x - 10)  = 360

2x + 30 + 12x - 20 = 360

14x + 10 = 360

14x = 350

x = 350 / 14

x = 25 degrees

∠S = x + 15 = 25 + 15 = 40 degrees

∠p = 6x - 10 = 6(25) - 10 = 150 - 10 = 140 degrees

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