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viktelen [127]
3 years ago
13

A composite figure is formed by combining a square and a triangle. Its total area is 57.5 ft2. The area of the triangle is 32.5

ft2. What is the length of each side of the square? Complete the explanation. The area of the square is ft2, so each side of the square is ft.
Mathematics
2 answers:
Alenkinab [10]3 years ago
7 0

Question:

A composite figure is formed by combining a square and a triangle. Its total area is 31.5 ft2. The area of the triangle is 15.5 ft2. What is the length of each side of the square? Complete the explanation.

Answer:

The area of the square is  <u>16 </u>ft², so each side of the square is  <u>4</u> ft.

ozzi3 years ago
3 0

Answer:

Area of square = Composite Area - Area of Triangle

                         =    32.5  - 7.5  = 25

Area of square = 25 square feet.

Formula for area of square = s²

s²  = 25

s = √25

s = 5

Length of each side of square = 5 feet.

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The 8th grade is selling tickets to the 8th grade formal.The cost per ticket is $15.The decorations and food cost $600,and each
MArishka [77]

Answer:

Step-by-step explanation:

Each ticket is $15.  The number of tickets is what we are trying to solve for.  The class spends a certain amount of money to prepare for the formal.  They hope that the money they make in ticket sales is MORE than what they spend.  The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets.  They hope that the sales are greater than what they spend, so what we have so far is

15x >

Greater than what, though?  What do they spend?  They spend 600 for the food, so

15x > 600...

but they also have to print a certain, unknown number of tickets at .50 each.  The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off).  So the cost for this affair is the food + the printing.

15x > 600 + .5x

Solve this inequality for x.  Begin by subtracting .5 from both sides to get

14.5x > 600 so

x > 41.3

Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets.  If they sell 41 tickets, the profit is found by

15(41) > 600 + .5(41)

615 > 600

This means that at 41 tickets, they make a profit.  At 40 tickets, the inequality looks like this:

15(40) > 600 + .5(40) and

600 > 620.  This is not true, so 40 tickets isn't enough.

8 0
3 years ago
What is the value of y?
NeX [460]

The value of y in the triangle is 2√5

The triangle above is a right angle triangle.

Characteristics of a right angle triangle:

  • One of its angle is equals to 90 degrees
  • The sides can be found using Pythagoras theorem.

Using Pythagoras theorem

  • c² = a² + b²

where

c = hypotenuse(longest side)

a and b are the 2 other legs.

Therefore,

6² = 4² + y²

36 = 16 + y²

y² = 36 - 16

y² = 20

y = √20

y = 2√5

learn more on right angle triangle here:brainly.com/question/3770177?referrer=searchResults

7 0
3 years ago
Read 2 more answers
-2(x - 5) = -14 PLEASEEEEE HELPPPPPP
juin [17]
Okay so you need to start off by using the distributive property, meaning you are going to multiply -2 by both items within the parentheses. this gives you -2x + 10 = -14. from here you want to isolate x, so you’ll subtract both sides by 10 to move it to the other side. this gives you -2x=-24. then you’ll divide both sides by -2 to completely isolate x. this gives you x=12. does that make sense?
8 0
3 years ago
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = 64x−8x^2,
Mandarinka [93]
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
4 0
3 years ago
What is the square root of 674887473
Hunter-Best [27]
25978.5964401. You can type it in a calculator and get the same answer!(:
6 0
3 years ago
Read 2 more answers
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