how do you multiply add and divide fractions?

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

Answer:

d = -280 m

Step-by-step explanation:

Given that,

Velocity of Andre, v = -8 m/s

Time taken, t = 35 seconds

We need to find his finishing position. Let the finishing position be x.

We know that,

Velocity = distance/time

So,

[tex]d=v\times t\\\\d=-8\times 35\\\\=-280\ m[/tex]

so, he was at a distance of 280 m in west.

Answer:

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Step-by-step explanation:

Answer:

$0.95

Step-by-step explanation:

Answer:

I'm pretty sure it's b ''the number of chargers increases''

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

set up like 240-120

240-120=120

120 divided by 2 equals 60

therefor, the angle is 60 degrees

Answer: I think its A

Step-by-step explanation:

The given function is  increasing from 1 to ∞. Therefore, option A is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph, the vertex is (1, -2)

For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.

Here, the function is increasing from 1 to infinity.

Therefore, option A is the correct answer.

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Answer:

Right triangles are congruent if both the hypotenuse and one leg are the same length. These triangles are congruent by HL, or hypotenuse-leg.

Step-by-step explanation:

Answer:

Yes, they are congruent

Step-by-step explanation:

Using Pythagorean theorem in ΔMNP,

Base² + altitude² = hypotenuse²

MP² + 28² = 35²

MP² + 784 = 1225

         MP² = 1125 - 784 = 441

         MP =√441

MP = 21

As per RH congruent rule,

Hypotenuse NP ≅ RS  and

Any one leg , here MP = RQ = 21'

Answer:

Step-by-step explanation:

radius r = 10/2 = 5 ft

height h = 5 ft

Volume = πr²h = π(5²)(5) = 125π ≈ 392.7 ft³

Answer:

Slope of the line of best fit = -0.34868

Step-by-step explanation:

From the figure attached,

Coordinates of the points lying on the given line are (2, 3), (2, 5), (2, 6), (3, 5), (4, 3), (5, 4) and (7, 3)

By using the linear regression calculator,

Equation of the line of best fit → y = -0.34868x + 5.38816

Comparing this equation with, y = mx + b

Slope of the line of best fit → m = -0.34868

Answer:

7.362

Step-by-step explanation:

Given :

Mean = 35

Score, x value = 23

Zscore = - 1.63

Recall the Zscore formula :

Zscore = (X - mean) / standard deviation

-1.63 = (23 - 35) / standard deviation

-1.63 = - 12 / standard deviation

standard deviation * - 1.63 = - 12

Divide both sides by - 1.63

Standard deviation = - 12 / - 1.63

Standard deviation = 7.362

Answer:

the correct anwser is b b cause they both are positive y intercepts

Answer:

m= 9/8

Step-by-step explanation:

(5, 2) and (-3, -7)

Slope:

m=(y2-y1)/(x2-x1)

m=(-7-2)/(-3-5)

m=(-9)/(-8)

m=9/8

Answer:

Step-by-step explanation:

Triangle inequality:

Sum of side lengths of any two sides must be greater than the third side

Option 2

Answer:

2) 7,18,11

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

f(x) = 2*cos(4*x) + 4

Step-by-step explanation:

This is obviusly a sinusoidal function, which can be written as:

f(x) = A*cos( w*x ) + M

Where:

A = amplitude

w = angular frequency

M = midline.

Remember that the maximum of a cosine

cos(x) = 1, when x = (2*n)*pi      (for any integer n)

And the minimum is at:

cos(x) = -1, when x = (2*m + 1)*pi    (for any integer m)

Whit this in mind, we know that we have a maximum when:

x = pi

then we want:

w*pi = (2*n)*pi

and a minimum at:

x = -3*pi/4

Then we want

w*(-3*pi/4) = (2*m + 1)*pi

In the minimum case, we have a "4" in the denominator that is kinda unfortunate, so we woud want to take w = 4 in order to remove it, and this will work really well for wath we want, because:

w*pi = 4*pi = (2*2)*pi     (here we have n = 2)

w*(-3*pi/4) = 4*(-3*pi/4) = -3*pi = (2*-2 + 1)*pi   (here we have m = -2)

Then we can take w = 4.

So the function is something like:

f(x) = A*cos(4*x) + M

The amplitude is equal to half of the difference between the maximum and the minimum values of y.

The maximum is:

y = 6

the minimum is:

y = 2

Half of the difference is:

A = (6 - 2)/2 = 2

A = 2

Then our function is:

f(x) = 2*cos(4*x) + M

The value of the midline is equal to the maximum minus the value of the amplitude (or the minimum plus the value of the amplitude)

M = Maximum - A =  6 - 2 = 4

M = Minimum + A =  2 + 2 = 4

Then the function is:

f(x) = 2*cos(4*x) + 4

Answer:

2cos (4/7x - 4pi/7) + 4

Step-by-step explanation:

Answer:

98 degrees

Step-by-step explanation:

278-82 over 2

196 divided by 2

This will lead to 98, therefor the angle is 98 degrees

Answer:

2 and 2/3 mph

Step-by-step explanation:

The computation of the speed when he wants to keep the same distance is shown below:

Given that

Jenny left her house at 8:00AM

Went for a school at a speed of 2 and 2/3 mph

And, her brother left the house minutes later

So here the speed would be the same i.e.  2 and 2/3 mph

Answer:57

Step-by-step explanation:

(7 x 9) - (-3 x -2) = 57

Answer:

-13

Step-by-step explanation:

Answer: 2(-4x+y)

Step-by-step explanation:

rewrite -8 as 4*2

4*2x+2y

factor out the common term (2)

2(-4x+y)

Answer:

Step-by-step explanation:

Remark

The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.

Solution

<x = 1/2 (arc measure of 116 + 74)

<x = 1/2 (190)

<x = 95

Answer:

210 Hope it helps! if you have any other questions I can help

Answer:

Step-by-step explanation:

A negative number raised to an even exponent gives a positive result so it is the same as 3 raised to 6. That is 3 x 3 x 3 x 3 x 3 x 3 = 729

The (-3) to the sixth power, (-3)⁶, is equal to 729.

To express (-3) to the sixth power in exponential form, we write it as (-3)⁶.

Now, let's calculate (-3)⁶ properly:

(-3)⁶ = (-3) * (-3) * (-3) * (-3) * (-3) * (-3)

Multiplying -3 by itself six times:

(-3) * (-3) * (-3) * (-3) * (-3) * (-3) = 729

Therefore, (-3) to the sixth power, (-3)⁶, is equal to 729.

By raising -3 to the power of 6, we obtain the result of 729.

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Answer:$24

Step-by-step explanation:

100 devided by 20 is 5

20 devided by 5 is 4

20+4=24

Answer:

-3r < 33, 3r> -33 and  -r < 11

Step-by-step explanation:

Which of these inequalities are equivalent to r > -11? Check all that apply. -r < 11 3r < -33 3r > -33 -3r < 33 -3r > 33

For the inequality -r < 11

Multiplying both sides by -1 will reverse the sign to have;

-1(-r) > -1(11)

r > -11

for the inequality 3r> -33

Divide bith sides by 3 will not reverse the sign because we are divideing by a positive number

3r/3 > -33/3

r > -11

For the inequality -3r < 33

Divide both sides by -3 will reverse the sign

-3r/-3 > 33/-3

r > -11

Hence the required inequalities are -3r < 33, 3r> -33 and  -r < 11

Answer:

-3r < 33, 3r> -33 and  -r < 11

Step-by-step explanation:

i just took the test

Answer:

170 [tex]cent.^{3}[/tex]

Step-by-step explanation:

If the height is 3 times the radius you can find that by: 3r

r = 3.

So: 3 x 3 = 9

The height is 9 centimeters

Volume of a cylinder (can):

[tex]V= 2\pi rh[/tex]

Plug in what we know

[tex]V = 2 \pi (3) (9)\\V = 54\pi \\V = 169.646\\[/tex]

Rounds to: 170

Answer:

B

Step-by-step explanation:

Answer:

do you mean in simplist form?? if so...

Step-by-step explanation:

5/7=5/7

2/6=1/3

1/4

because not a lot of students have both gender as siblings!

Answer:

Step-by-step explanation:

28 students in total

21 - 7 = 14 students only has a brother

9 - 7 = 2 students only have a sister

7 students have both brothers and sisters

probability of a student having a brother and a sister:

[tex]\frac{7}{28} = \frac{1}{4}[/tex]

Answer:

#3= 8   #4=2   #5= 4,3   #6= 5  #7= 8   #8=9

Step-by-step explanation:

Answer:

reeg

Step-by-step explanation: