Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10

Answer: sum: 51 + -31 = 20

Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:

x + y = 20

The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:

x - y = 92

Now solve equation B for x to get the revised equation B:

x - y = 92

x = 92 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 20

92 + y + y = 20

92 + 2y = 20

2y = -72

y = -36

Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:

x + y = 20

x + -36 = 20

X = 56

Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:

Answer:

[tex]y=-\frac{1}{5} x-1[/tex]

Step-by-step explanation:

Hi! Welcome to brainly!

So slope intercept form - y = mx + b

where m = slope and b = y intercept

First lets find the y intercept

The y intercept is at (0,-1)

B would equal the y value of the y intercept so b = -1

now lets find the slope

To do so we can pick 2 points on the line and use the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

the points can vary but i chose the points (5,-2) and (10,-3)

having found the points we plug them into the formula

[tex]m = \frac{-3-(-2)}{10-5} \\-3-(-2)=-1\\10-5=5\\m=-\frac{1}{5}[/tex]

now that we have found all of the information we plug the values into the equation and get that the answer is

[tex]y=-\frac{1}{5} x-1[/tex]

Answer:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

Step-by-step explanation:

There are 42 carts, so there is 42 spaces in between them; if one of those spaces are 25pi/3 feet long, then 42 of them would be 25*42*pi/3 = 350pi (Perfect! no fractions)

350pi is the circumference. Now if we plug that into the circumference equation we get:

C = 2pi*r

350pi = 2pi*r

Divide both sides by pi to get rid of it

350 = 2r

Divide both sides by 2

r = 175 feet

So the new equation to graph it is:

x^2+y^2 = 175^2 = 30,625

We also know that the center of the Ferris wheel has to be at least 60 feet from the ground. Since the radius is more than that, a good bit of the Ferris wheel has to be underground OR we can make it higher (keyword: at least) if we want it to be above ground. I'll do the equation for underground since it more closely represents the question.

subtracting a number from y, shifts the graph up that much so:

[tex]x^2 + (y-60)^2 = 30,625[/tex]

I can't really draw it electronically but I can graph it:

Answer:

This triangle is an isosceles acute

Step-by-step explanation:

First lets define each classification

scalene - no equal sides

isosceles - two equal sides

equilateral - all equal sides

acute - all angles have a measure of less than 90 degrees

right - has a right angle (90 degree angle)

obtuse - has an angle that has a measure of more than 90 degrees

Now lets classify

The triangle has two equal sides (indicated by the little line on the top and bottom side) therefore it is an isosceles triangle

We know its an acute triangle because the one angle given is not a right angle nor a obtuse angle meaning that the other two angles are going to have  a measure of less than 90 degrees

So we can conclude that this is an isosceles acute triangle

Answer:

409 i would say

Step-by-step explanation:

very sorry is its wrong!!! :(

Answer:

prob d im guessing :^)

Step-by-step explanation:

tell me if i got it right or wrong i will fix if needed

Answer:

fine

cause of it's fine point of tangency

Answer:

(3 x 4) - 1    and  3 x 4 - 1

Step-by-step explanation:

Hope this helps!

Answer:

c=7.180 miles. 2. Jack is on one side of a 200-foot-wide canyon and Jill is on the other. Jack and Jill can both ... a=2.947 miles. 5. Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices ...

Answer:

try c.

Step-by-step explanation:

i hope this is the answer, good luck!

Answer:

The value of log 8 is 0.9030

Step-by-step explanation:

To find:

Value of log 8

Solution:

Let we take,

x=log8

x=log (2)^3

x=3log2

x=3*0.3010

x=0.9030

Hence, the value of log 8 is 0.90.

Answer:

Im pretty sure you can just search this up number by number and you will find all the answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

Answer:

5

Step-by-step explanation:

when finding a y intercept thevalue of x must be0,,,,,,when xis changed to 0the answer left is 5

Answer:

lateral surface area of cone =

[tex]\pi rl[/tex]

where, l = slant height, and r = radius

then

[tex]l.a = \pi \times 8 \times 17[/tex]

[tex]l.a = 136\pi[/tex]

The lateral area of this cone will be 136 π. Lateral area is found as the product of pi ,radius and slant height.

It is defined as the three-dimensional shape in which the base is a circular shape and if we go from circular base to top the diameter of the circle reduces and at the vertex, it becomes almost zero.

lateral area of this cone is found as;

L=πrl

L=π×8×17

L=136π

Hence,the lateral area of this cone will be 136 π.

To learn more about the cone refer to the link;

brainly.com/question/16394302

#SPJ2

Answer:

base = 8 m

Step-by-step explanation:

base = (2* area) ÷ height    

        [tex]= \frac{2*36}{9}[/tex]

        = 2 * 4

        = 8 m

I hope this helps you

tgM=39/80

sinM=39/89

cosM=80/89

9514 1404 393

Answer:

  20%

Step-by-step explanation:

The discount was $35 -28 = $7. As a percentage of the original price, that is ...

  $7/$35 × 100% = 20%

Mai's coupon was for a 20% discount.

Answer:

14.4

Step-by-step explanation:

6 x (t1/3 + t1/2) = 12(6)

2t + 3t = 72

5t = 72 /5

t= 14.4

Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒  [tex]\frac{Sin E}{e} =\frac{Sin F}{f}[/tex]

On substituting the values, we get

⇒  [tex]\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}[/tex]

On applying cross multiplication, we get

⇒   [tex]SinF=\frac{610\times Sin 70^{\circ}}{590}[/tex]

On substituting the values, we get

⇒            [tex]=\frac{61\times 0.95969262}{59}[/tex]

⇒            [tex]=\frac{57.3212499}{59}[/tex]

⇒            [tex]=0.971546608[/tex]

now,

⇒  [tex]F=Sin^{-1}(0.971546608)[/tex]

⇒      [tex]=76^{\circ}[/tex]

Answer:

74.7

Step-by-step explanation:

Answer:

75.5 cm

Step-by-step explanation:

S = (a+b)*h/2

h = 2 * S / (a+b) = 2 * 7701 / 204 = 75.5 cm

Answer:

I got 678.58401 but i think it is C. 648n cubic units

Step-by-step explanation:

Answer:

V = 260.2 m^3

Step-by-step explanation:

The area of the circular base is (pi)(r)^2, where r is the radius and half the diameter.

In this case the volume of the cone is V = (1/3)(pi)(5 m)^2*(10 m) = 260.2 m^3

Answer: 262

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Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

hmmm................chupapu