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Semmy [17]
3 years ago
9

On your own paper, graph the system of equations and identify the solution.

Mathematics
1 answer:
timurjin [86]3 years ago
8 0
X - y = 1....multiply by -5
5x - 4y = 0
---------------
-5x + 5y = -5 (result of multiplying by -5)
5x - 4y = 0
---------------add
y = -5

x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5
x = -4

solution is (-4,-5)
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The width of a rectangle is 4 feet and the diagonal length of he rectangle is 13 feet what is the measurement is the closest to
AURORKA [14]

Answer:

The length is APPROXIMATELY equal to 12.4.

Step-by-step explanation:

Use the converse of the Pythagorean Theorem (a^{2}+b^{2}=c^{2} [where "c" is both the longest side and the hypotenuse]) since a rectangle's diagonals will always cut it into two right triangles:

13^{2} = 169

4^{2} =16

169-16=153.

\sqrt{153} ≈ 12

or

\sqrt{153}=12.36931688

or if the problem has to be exact (using radicals)

3*\sqrt{17}

I hope this helps ;)

8 0
2 years ago
A piggy bank contains only quarters and nickels, and there is a total of 60 coins. The total value of coins in the bank is 7.40.
Eduardwww [97]
There are 22 quarters in the bank
8 0
3 years ago
If the length and width of a rectangle are tripled, the area of that rectangle will increase by what percentage? A) 9% B) 90% C)
shepuryov [24]
X*Y

3X*3Y =9XY

9XY/XY = 9
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7 0
3 years ago
9. Find the dimensions of the<br>4 triangular faces of the pyramid.<br>(Height is 55.5 ft)<br>​
Minchanka [31]

Answer:

Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\

Step-by-step explanation:

We have a 4-sided triangular pyramid , where

Q=\frac{\pi}{2}*H\\P=Q*\sqrt{\frac{1}{2}+\frac{4}{\pi ^{2}}}\\Q=\frac{\pi}{2}*55.5ft=87.18ft\\P=87.18ft*\sqrt{\frac{1}{2}+\frac{16}{\pi ^{2}}}=87.18*0.9515=82.95ft\\

3 0
3 years ago
Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet. Approx
Hunter-Best [27]

Answer:

a) 50.24 ft²

b) 150.72 ft²

Step-by-step explanation:

Jason is painting a large circle on one wall of his new apartment. The largest distance across the circle will be 8 feet.

The distance across a circle is also called a diameter, Hence,

D = Diameter = 8 ft

The Area of a circle = πr²

r = Diameter/2 = 8ft/2 = 4ft

π = 3.14

Hence,

The Area of the circle = π × (4 ft)²

= 50.24 ft²

a) Approximately the amount of wall the circle will cover is 50.24 ft².

b) How much area will he cover if he painted a circle on three walls?

This is calculated as:

1 wall = 50.24 ft²

3 walls = x

Cross Multiply

x = 3 × 50.24 ft²

x = 150.72 ft²

7 0
3 years ago
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