express 250 as the product of the prime factors. Write the prime factors in accending order

Part A

Answer: Choice D) [tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}[/tex]

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Explanation:

Let E be the intersection point of the diagonals. For any parallelogram, the diagonals bisect each other. This means that AE = EC = 2n+5 and it also means EB = DE = 4n-3

Focus on triangle AED. This triangle is a right triangle with angle AED as a 90 degree angle (any rhombus has its diagonals that are perpendicular to one another). The legs of this triangle are AE = 2n+5 and ED = 4n-3

Apply the pythagorean theorem to find hypotenuse AD

[tex](\text{leg1})^2+(\text{leg2})^2 = (\text{hypotenuse})^2\\\\(\text{AE})^2+(\text{ED})^2 = (\text{AD})^2\\\\(\text{AD})^2 = (\text{AE})^2+(\text{ED})^2\\\\\text{AD} = \sqrt{(\text{AE})^2+(\text{ED})^2}\\\\\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\[/tex]

This points to choice D as the final answer.

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Part B

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Explanation:

If AC = 14, then half of this is AE = 7. The diagonals bisect each other, so they cut each other in half with E at the midpoint.

Since AE = 2n+5, we can solve for n like so

2n+5 = 7

2n = 7-5

2n = 2

n = 2/2

n = 1

Then we can find the length of AD

[tex]\text{AD} = \sqrt{(2n+5)^2+(4n-3)^2}\\\\\text{AD} = \sqrt{(2*1+5)^2+(4*1-3)^2}\\\\\text{AD} = \sqrt{(2+5)^2+(4-3)^2}\\\\\text{AD} = \sqrt{7^2+1^2}\\\\\text{AD} = \sqrt{49+1}\\\\\text{AD} = \sqrt{50}\\\\\text{AD} \approx 7.0710678\\\\\text{AD} \approx 7.07\\\\[/tex]

Segment AD is roughly 7.07 units long. The other external sides of the rhombus (AB, BC and CD) are also this length because the four sides of any rhombus are the same length.

Answer:

The answer is (2) 4

Step-by-step explanation:

Give brainliest

Answer:

78.5

Step-by-step explanation:

A=πr2=π·52≈78.53982 Rounded to the tenth is 78.5

Answer:

78.5 mm^2

Step-by-step explanation:

Area of a circle  = pi*r^2

pi*5^2 = 25pi = around 78.539 rounded to the nearest tenth is 78.5 mm^2

Answer: 1300 i think

Step-by-step explanation:

Adam invest 250 into account and then he gets 0.5% interest, that means he has to multiply 250 by 0.5% and then multiply again by five because of the five years.

The answer is 60.61 when you divide 5576/92

Answer: The answer is 464

Step-by-step explanation:

Bc you do 98-7=91, Then you do 25+91*4, Next Do 25+91=116, Last you 116*4= 389 and If this is wrong use a Calaculator Ok

_ Mhart7109

9514 1404 393

Answer:

  20 more deliveries

Step-by-step explanation:

The student wants to increase her earnings by $28 - 16 = $12 per day. Her earnings increase by $0.60 per package delivered, so she must deliver ...

  $12/($0.60/pkg) = 20 pkgs

more each day.

Answer:

Find the value of y if x is equal to y^3. Hope it helps (not completly sure of the answer though)

Answer:

9/16

Step-by-step explanation:

Let the original fraction be

x/y

Then

x+3/y=3/4

and

x/y-7=1

Look at 2nd fraction, rearrange it such that you multiply by "y-7" on both sides

x=y-7  

Substitute this into 1st fraction:

x-7+3/y=3/4  

Now we can solve this for y:  cross-multiply --> (Note: y-7+3 = y-4)

4(y-4)=3y

y=16

Sub this back into "x = y-7" to get x

x=16-7=9

Therefore the original fraction is:

9/16

Answer:

4.4

Step-by-step explanation:

10.6 + x = 15

x = 15 - 10.6 = 4.4

9514 1404 393

Answer:

  17n+9 feet

Step-by-step explanation:

The perimeter of a rectangle is twice the sum of length and width.

  P = 2(L +W)

  P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)

  P = 17n +9

The perimeter of the rectangle is 17n +9 feet.

Answer:

It would be A,B

Step-by-step explanation:

Answer:

I believe its B False

Answer:

A

Step-by-step explanation:

Answer:

1.36

Step-by-step explanation:

that should be the answer

Answer:

1. yes!

2. yes!

Step-by-step explanation:

brainliest :3

Both ;) Cat because i like Beluga ;)))

Dog because I like doge ;)

Answer:

105cm

Step-by-step explanation:

Call the rat's height r, the cat's height c and the table height t.

The left part says that

(t + c) - (0 + r) = 120 = t + c - r

c - r = 120 - t

Right part says that (t + r) - (0 + c) = 90 = t + r - c

c - r = t - 90

120 - t = t - 90

2t = 210

t = 105

Answer:

Set A

Step-by-step explanation:

Reflection is a flip, so you need to flip the rectangle over the x-axis. So since the rectangle will end in quadrant 4, the x coordinates are all positive and the y coordinates are all negatives. Look at your choices and see what you can eliminate. Set B & C are out because they have negative x coordinates. Set D is out because the y coordinates are NOT negative, so that leaves Set A as the answer.

Answer:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Step-by-step explanation:

Time is very precious and we should not waste it in any way. Likewise, we can earn the money we spent but we cannot get back the time we have lost. So, this makes the time more valuable than money. Hence, we should utilize the time in the most possible way.

Answer:

9 is the answer because it is the answerr

Answer:

21

Step-by-step explanation:

To find the median of a set of numbers, you have to order all of the numbers from lowest to highest in value and pick the number in the middle. Your data set happens to already be in order from lowest to highest in value, and 21 is the number in the middle, so that would be your answer. Hope this helps :)

Hence, median of the following data set (18, 19, 19, 21, 25, 28, 31) is 21

The median is the value in the middle of a list that is ranked from smallest to largest. The mode is the value on the list that appears the most frequently. To find the median, sort your data first. Then, using n, the number of values in your data collection, determine the middle position. When n is an odd integer, the median is found at (n + 1) / 2. The median is the mean of the values at positions n / 2 and (n / 2) + 1 if n is an even integer.

Given numbers 18,19,19,21,25,28,31

step 1 is to arrange numbers is ascending order , but as they are arranged so we move to step 2

step 2 is to know number of observations and apply formula

if n is odd then [tex]\frac{n+1}{2}[/tex] , if even then [tex]\frac{n}{2}[/tex]

Hence n =7 here

∴[tex]\frac{n+1}{2}=\frac{8}{2} =4[/tex]

Hence,[tex]4^{th}[/tex] term is the median which is 21

Learn more about median https://brainly.com/question/14532771

#SPJ2

Answer:

Answer:

Triangle: 77

Parallelogram: 198

Total: 275

Step-by-step explanation:

The area of a triangle is one half the base times the height.

[tex]A_{T}=\frac{1}{2}bh=\frac{1}{2}(22)(7)=77[/tex]

The area of a parallelogram is base times height.

[tex]A_{P}=bh=(22)(9)=198[/tex]

The total area is the sum.

77+198=275

Answer:

The x-intercept is 2, or B.

Step-by-step explanation:

Substitute 0 in for y to solve for X. 5x=10 -> x=2

Answer:

Step-by-step explanation:

5x-2y=10

divide by 10 to make right hand side=1

[tex]\frac{x}{2} +\frac{y}{-5} =1[/tex]

x-intercept=2

y-intercept=-5

9514 1404 393

Answer:

  a) -13

  b) -22

Step-by-step explanation:

It can be convenient to compute the function values first:

  f(1) = 1² -14·1 = -13

  g(1) = 1 +8 = 9

Then the compositions are ...

(a) (f+g)(1) = f(1) +g(1) = -13 +9 = -4

(b) (f-g)(1) = f(1) -g(1) = -13 -9 = -22

Answer:

[tex]A= 5n-45[/tex]

Step-by-step explanation:

Can u gimme brain plz!

Answer:

-180

Step-by-step explanation:

Answer:

f(-2)=(-11)

Step-by-step explanation:

f(-2)=5(-5)+14

=(-25)+14

=(-11)

Answer:

Step-by-step explanation:

The unknown angle.

Start by finding the third angle. Call it x.

x + 125 + 32 = 180

x + 157 = 180

x = 180 - 157

x = 23

Now you are set to use the law of sines.

Call ? = x

x/sin(32) = 7/sin(23)       Multiply both sides by Sin(32)

x = 7*sin(32)/sin(23)

x = 7*(0.5299) / sin(23)

x = 3.7094/ sin(23)

x = 3.7094 / 0.3097

x = 9.4935

Rounded to the nearest 10th

x = 9.5

Answer: You are correct the answer is 90

Step-by-step explanation:

12 times 7 is 84 and 3 times 2 is 6 so that is 90 total

Answer:

54sq

Step-by-step explanation: