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olchik [2.2K]
2 years ago
5

surface area of a cone is 320 surface meters. another cone has a surface area of 20 square meters. what is the scale factor used

to create the smaller cone
Mathematics
2 answers:
Serjik [45]2 years ago
7 0
I believe that the answer is 16, i believe that is the answer.
aliya0001 [1]2 years ago
6 0

The surface area of first cone is 320 square meters.

The surface area of second cone is 20 square meters.

Now scale factor can be found by dividing the surface area of bigger or first cone by that of surface area of second or smaller cone.

So if we divide 320 by 20 , we will get 16.

So we can say that the scale factor is 16

Answer : The scale factor that is used to create the smaller cone from bigger cone is 16.

Hope this helps !!!

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Find the slope, Y-intercept, and equation (make sure there is no decimals if there is a decimal make it into a fraction)!
adelina 88 [10]

Answer:

Slope is 5/3

y-intercept = -3

y = 5/3x - 3

Step-by-step explanation:

To find the slope, take to coordinates and use the equation below

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

7-2 = 5

6-3= 3

Now you have your slope which is 5/3

Then take the slope and input it into point slope form to get your y-intercept.

y-y₁=m(x-x₁)

y-2 = 5/3(x-3)

y-2=5/3x-5

add two to both sides to get Y by itself

y = 5/3x - 3

now you have your y-intercept, which is -3

Then check your answer by inputing two different coordinates for X and Y

7 = 5/3(6)-3

7=7

12= 5/3(9)-3

12=12

6 0
3 years ago
What is x. Please show *all* the steps.
Zolol [24]

The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation

The value of x is 8 or 1

<h3>How to determine the value of x?</h3>

The equation is given as:

5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Rewrite as:

-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0

Take the  LCM

[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0

Expand

[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0

Evaluate the like terms

[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0

Multiply through by x^2 - 4

x^2 - 12x+ 3x + 8 = 0

Evaluate the like terms

x^2 -9x + 8 = 0

Expand

x^2 -x - 8x + 8 = 0

Factorize

x(x -1) - 8(x - 1) = 0

Factor out x - 1

(x -8)(x - 1) = 0

Solve for x

x = 8 or x = 1

Hence, the value of x is 8 or 1

Read more about equations at:

brainly.com/question/2972832

8 0
2 years ago
Complete the square f(x) = x^2 + 4x - 8 <br><br><br> PLZ help me ;c
Semenov [28]
Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x

x=-2+2√3 or -2-2√3
that is where the x intercept are

and completed square form is
f(x)=(x+2)²-12
6 0
3 years ago
Lindsay spins a spinner once and then flips a fair coin twice. The spinner is
Ivenika [448]

Answer:

3

Step-by-step explanation:

8 0
2 years ago
A DVD box set includes 3 thriller movies and 2 comidies. Use t to represent the cost of each thriller and c to represent the cos
suter [353]

Answer:

The expression representing the Total cost of 6 boxes is 6(3t + 2c).

The Simplified expression representing the Total cost of 6 boxes is 18t + 12c.

Step-by-step explanation:

Given:

Number of thriller movies = 3

Number of Comedy movies = 2

Let the cost of thriller movie be t

Also Let the cost of comedy movie be c

Total Number of boxes = 6

Now, given a DVD box set includes 3 thriller movies and 2 comedies.

Cost of Each box = 3t + 2c

We need to find the total cost of 6 boxes

Total Cost of 6 boxes is = 6(3t + 2c)

Hence the expression representing the Total cost of 6 boxes is 6(3t + 2c).

Simplifying the above expression we get;

Total Cost of 6 boxes is = 6(3t + 2c)= 6\times3t+6\times2c=18t+12c

Hence the Simplified expression representing the Total cost of 6 boxes is 18t + 12c.

3 0
3 years ago
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