A tent is in the shape of a triangular prism shown below.



What is the lateral surface area of the prism?

Answer:

The system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Step-by-step explanation:

Let

x represent the number of polyester-fill bags sold

y represent the number of down-fill bags sold.

In one week the store sold 17 sleeping bags

x + y = 17 ...... Equation 1

x = 17 - y

At Raging River Sports, polyester-fill sleeping bags sell for $76. Down-fill sleeping bags sell for $141. In one week the store sold 17 sleeping bags for $1,460.

Hence:

$76 × x + $141 × y = $1460

76x + 141y = 1460....... Equation 2

Therefore, the system of equations that can be used to find the number of each type sold is given as:

x + y = 17 ...... Equation 1

76x + 141y = 1460....... Equation 2

Answer 5,352

Step-by-step explanation:

Answer:

C) [tex]\frac{\sqrt{6} }{14}[/tex]

Step-by-step explanation:

We multiply the conjugate (7 √2) with the denominator and numerator:

[tex]\frac{\sqrt{3} }{7\sqrt{2} } *\frac{-7\sqrt{2}}{-7\sqrt{2}} \\\\\frac{\sqrt{6} }{14}[/tex]

I also just used my calculator and it gave me this

Answer:

the answer are

a = 3, b

= 5 and

c = -9

Answer:

The answer is in the photo below! :D

Step-by-step explanation:

Hope this helped!

-LEI

Answer:

you are right

Step-by-step explanation:

x²-2x-8≠0

⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

Answer:

x = 20

Step-by-step explanation:

The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90. So, 90+31 = 121 and 180-121 = 59. (3x-1) = 59. Solve for x. This would mean that x would be 20. 3*20 = 60 and 60-1 = 59. All the angles add together would get 180: 59+90+31.

A) Use the distance formula to find the length of each side, and then add the lengths.

Answer:

the first equation is one unit to the right of te left

Step-by-step explanation:

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

Q.3 area of circle=pi×r²

area of circle=3.14×(9mm)²

area of circle =254.34mm²

Q.6 area of circle= 3.14×(1.5in)²

area of circle =7.065in²

Answer:

wait what was the question gsdnABNEfglaabgjggse?????

Step-by-step explanation:

Answer:

$430.35

Step-by-step explanation:

you have to subtract the 2 withdrawls, and then add 25 for the deposit to get the total amount

Answer:

Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375

Revenue Earned is also increased By $ 575.

Step-by-step explanation:

We make a journal entry

Cash      $200 Debit

Notes Receivable   $ 375 Debit

Services Revenue Earned                        $ 575 Credit

In the balance sheet the Cash is increased by $ 200 , and Notes Receivable is also increased by $ 375  on the Assets sides.

On the  Liabilities side in the Owner's Equity section  Revenue Earned is also increased By $ 575.

Increasing both sides ( Assets and Liabilities sections) with equal amounts will  have no effect on the Balance Sheet .

Answer: 14 Units

Step-by-step explanation: Subtract (10-2) and (11-5)

Answer:

D

Step-by-step explanation:

I took chemistry so I know

Answer:

42 degrees

Step-by-step explanation:

Angles E and G are equal.  Therefore, 8x - 6 = 7x, and x = 6.

Then the measure of angle G must be 7(6), or 42 degrees.

Answer:

50 %

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

To find slope just compare two points on a graph then put them into a fraction like so y₁ - y₂/x₁ - x₂

Answer:

AOE = 138, EOD = 48

Step-by-step explanation:

Since AD is the diameter of the circle and goes through the middle

angle AOE + angle EOD  = 180

Solving the equation (x + 138) + ( x+ 48) = 180

We get x = 0.

Answer:

is 125,000

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

c-a=b

30-16=b

900-256=644

square root=25

Answer:

998, 1000, 1002

Step-by-step explanation:

Self explanatory, if you add the three numbers the sum is 3000.

Answer:

8

Step-by-step explanation:

slope = change in y over change in x

as y goes up 8, x goes up 1

slope = 8/1 or just 8

Answer:

27 degrees

Step-by-step explanation:

So looking at this rhombus, we can make out 4 seperate traingles.

How many degrees are in a traingle? 180.

Looking at the traingle with z angle in it, we can see that it is a right traingle.

Now, lets subtract that 90 degrees from the 180.

This leaves us with the 63 degrees and x that make up the 90 degrees that are left.

Now all we have to do is subtract the 63 degrees from the 90 total degrees that we have left, and we will find out what z is equal to.

90 minus 63 is 27, so the angle of z is:

27 degrees

I hope this helps!

Note that I assumed these are right traingles, however I dont see how you can solve this without these being right trianlges, since you cannot use sin, cos, or tan to find this value without another angle or side length.