Rui Feng wants to paint the exterior surface of 12 closed cylinders which have base radius 14 cm and height 40 cm. Find total surface area of cylinders that he has to be painted.

Answer:

The common factors for  24 , 48 , 480 are

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

1 , 2 , 3 , 4 , 6 , 8 , 12 , 24

The GCF (HCF) of the numerical factors 1,2,3,4,6,8,12,24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Prime factorization.

24= 2*2*2*3

48= 2*2*2*2*3

480= 2*3*2*5*2*2*2

The numbers that appear the most often for all 3 numbers is: 2, 3, 4. I got 4 because of 2*2.

Multiply 2*3*4 which equals 24. The GCF of 24, 48, and 480 is 24.

Answer:

There are 9 possible isosceles triangles

Step-by-step explanation:

Inequalities

Let's consider an isosceles triangle with equal side lengths x and unequal side y.

The perimeter of that triangle is:

P = x + x + y =2x + y

The perimeter has a fixed value of 20 units, thus:

2x + y = 20

Solving for y:

y = 20 - 2x

The solutions of this equation have two restrictions:

* Both x and y must be positive

* Both x and y are integer (whole) numbers.

The first restriction leads to inequality:

20 - 2x > 0

Solving for x:

x < 10

Since x must also be positive, only the following numbers are valid solutions for x: {1,2,3,4,5,6,7,8,9}

There are 9 solutions for x, giving this set of 9 solutions for y: {18,16,14,12,10,8,6,4,2}

Thus, there are 9 possible isosceles triangles

Answer:

c. is your answer dear.

Step-by-step explanation:

By SSS theorem which is Side Side Side.

Hope you got it.

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80

Answer:

3. 3:12 part to whole

Step-by-step explanation:

because there are 3 Reese's & 12 pieces of candy in total so it would be part of the candy to the entire bag of candy.

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

Answer:

26 dollars per ticket

Step-by-step explanation:

156/6=26

26x6=156

Answer:

-43

Step-by-step explanation:

m=8, n=11, and p=-3

mp=8x-3=-24

-24-m=-24-8=-32

-32-n=-32-11=-43

Answer:

(x1,y1) = (1, 2)

(x2,y2) = (-1,0)

Step-by-step explanation:

Given: f(x) = x²(x + 1) and g(x) = x + 1

To find the intersection, then set functions equal to each other to solve for x first.

x²(x + 1) =  x + 1; divide by (x+1) from both sides

[tex]x^{2}[/tex] = 1; take the square root to both sides

x = ±1;

The graphs intersect at two points (x1,y1) and (x2,y2)

Use x=1

f(1) = x²(x + 1) = [tex]1^{2}[/tex](1+1) = 2

g(1) = x + 1 = 1 + 1 = 2

(x1,y1) = (1, 2)

Use x= -1

f(-1) = x²(x + 1) = [tex](-1)^{2}[/tex](-1+1) = 0

g(-1) = x + 1 = -1 + 1 = 0

(x2,y2) = (-1,0)

The points of intersection of two functions are required.

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

The given functions are

[tex]f(x)=x^2(x+1)[/tex]

[tex]g(x)=x+1[/tex]

Equating them with each other

[tex]x^2(x+1)=x+1\\\Rightarrow x^2=\dfrac{x+1}{x+1}\\\Rightarrow x^2=1\\\Rightarrow x=\pm 1[/tex]

Substitute the [tex]x[/tex] value in one of the functions.

[tex]x=1[/tex]

[tex]f(1)=1(1+1)=2[/tex]

[tex](1,2)[/tex]

[tex]x=-1[/tex]

[tex]f(-1)=(-1)^2(-1+1)=0[/tex]

[tex](-1,0)[/tex]

The points of intersection are [tex](-1,0)[/tex] and [tex](1,2)[/tex].

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Answer:

x≥−8

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−4x−6≤26

Step 2: Add 6 to both sides.

−4x−6+6≤26+6

−4x≤32

Step 3: Divide both sides by -4.

−4x/−4 ≤ 32/−4

x≥−8

Answer:

+2

Step-by-step explanation:

Draw a vertical line through x = -6.  Determiene the corresponding y-value.  It is +2.  This is g(-6).

The value of the function g(x) when x = - 6, g(-6) is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x).

Now, The value of the function g(-6) is the same as the value of the y-coordinate when the x-coordinate is - 6.

From the graph, we observe that when x = - 6, y = 2.

So, The value of g(-6) = 2.

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Answer:

I and H

Step-by-step explanation:

X=18

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]

Answer:

The directional earing is N 30° E

Step-by-step explanation:

The given velocity vector is (25, 25·√3), therefor, we have;

R = 25·i + 25·√3·j

The angle of inclination of the direction of the boat with the horizontal = Arctan (y/x)

Where;

(x, y) = The coordinate of the components of the velocity of the boat

Therefore;

Arctan (y/x)  =  Arctan (25·√3/25) = Arctan (√3) = 60° North of East

The directional bearing which is the bearing relative to the northern direction is given as follows;

The directional earing = 90° - 60° = N 30° E.

Answer:

A on Egde

Step-by-step explanation:

i got it right

Answer:

mass of 50 L of R = 15p + 35q

Step-by-step explanation:

1L of P = p g

1L of Q = q g

R = 3P + 7Q

total = 10

P = 3/10 R

Q = 7/10 R

R = 50 L

50 L × 0.3 = 15 L the amount of P in L

15 L of P = 15p g

35 L 0f Q = 35 q g

then

mass of 50 L of R = 15 p + 35 q grams

Answer:

13 miles

Step-by-step explanation:

It tells us that her house is 5 miles from the Post Office. So we know that each unit on the grid is 1 mile. Lucy walks from her house to the post office to the bank. The shortest path is the hypotenuse of the right triangle. We have one side length. Now, we count the post office to bank's length. It is 12 miles. The Pythagorean theroem is a^2+b^2=c^2 so 5^2+12^2=c^2 Solving this, we get c=13. The shortest path is 13 miles.

Answer:

1. slope is 2

2. a is 5

3. b is 6

4. 0

Step-by-step explanation:

Answer:

(5, 7)

Step-by-step explanation:

before the translation, A is (2, 5)

by adding 3 to A and 2 to y, we get (5, 7)

Answer: 47

Step-by-step explanation: I’m not in high school so how would I know I just want to get brainly points

Answer:

This triangle is asking for the opposite side. We are given the hypotenuse and theta (28°.) Sin is opposite over hypotenuse.

Answer:

x=7.51

Step-by-step explanation:

Answer:

The equation to express this situation is y = 15x + 50.

Step-by-step explanation:

Initially, the temperature of a pot of water is 50⁰, i.e. at after x = 0 minutes the temperature was, y = 50⁰.

And the temperature rises 15⁰ per minute.

So, after x₁ = 5 minutes, the temperature was, y₁ = 125⁰.

And similarly after x₂ = 10 minutes, the temperature was, y₂ = 200⁰.

Compute the equation to express this situation as follows:

[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x-x_{1})\\\\(y-125)=\frac{200-125}{10-5}\times (x-5)\\\\y-125=15x-75\\\\y=15x-50[/tex]

Thus, the equation to express this situation is y = 15x + 50.

Answer:

b = [tex]\frac{2}{9}[/tex]

c = [tex]\frac{4}{9}[/tex]

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

Answer:

[tex]\frac{1170pi}{360m}[/tex]km

Step-by-step explanation:

To find the length of the minor arc, you find the circumference of the circle multiplied by the arc angle, which is [tex]\frac{45}{m}[/tex] over 360 degrees.

Circumference of the circle with center B = 13×2×pi

                                                                     = 26pi

Length of minor arc = 26pi × [tex]\frac{45}{m}[/tex] ×[tex]\frac{1}{360}[/tex]

                                 = [tex]\frac{1170pi}{360m}[/tex]km

Answer:

the answer is 2/3

Step-by-step explanation:

(2/11)/(3/11)=2/3

Answer:

Exact Form:

2 /3

Decimal Form:

0. 6 repeating

Step-by-step explanation:

Answer:

890/3 thats the anwser

Step-by-step explanation:

Answer:

For each test run, the minimum time is 45 mins  or 3/4  ____ hours

and the maximum time is 67.5 minutes or 1 hour 7.5 minutes.

Step-by-step explanation:

If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is  15 mins for 1 mile

For 4 miles the time is 1 hour

For 1 miles the time will be 1/4 hour

For 3 miles the time will be 3/4 hours

and for 4.5 miles the time will be 4.5/4 hours

Now reversing

1 hour = 4miles

15 mins= 1 mile

45 mins = 3 miles

30 mins = 2 miles

67.5 min= 4.5 miles

For each test run, the minimum time is ____ hours

the minimum distance is 3 miles and time taken is 45 mins

and the maximum time is ____ hours.

The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.