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slava [35]
3 years ago
6

A glass company is repairing a window in the shape of an equilateral triangle. If the length of one side of the triangle is 17 i

nches and the company charges $12 per square inch, the cost of the replacement window will be $___.
Mathematics
1 answer:
nalin [4]3 years ago
4 0

Answer:

the cost of the replacement window will be $<u>1501.44</u>.

Step-by-step explanation:

area of an equilateral triangle:

A = \frac{\sqrt{3}}{4} a^{2}

A = (√3)/4 * (17)^2

A = 125.12 in^2

125.12 * 12 = <u>$1501.44</u>

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Answer:

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7 0
2 years ago
Supply function: 2p-q-63 and the demand function: (p+30)(q+25)=2584. What is the market equilibrium point?
KATRIN_1 [288]
Equilibrium is point where supply = demand

Solve with substitution.

From supply equation ---> q = 2p - 63

Sub into demand equation ---> (p+30)(2p-63+25) = 2584

Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38

Sub back into supply equation to find q
q = 2(38) - 63
q = 13

Answer: Equilibrium is 13 units sold at price of $38.
6 0
3 years ago
Are all repeating decimals rational numbers
sweet [91]
No not all of them are
8 0
3 years ago
Read 2 more answers
What is 15-5(4x-7)=50
katovenus [111]

Simplifying

15 + -5(4x + -7) = 50


Reorder the terms:

15 + -5(-7 + 4x) = 50

15 + (-7 * -5 + 4x * -5) = 50

15 + (35 + -20x) = 50


Combine like terms: 15 + 35 = 50

50 + -20x = 50


Add '-50' to each side of the equation.

50 + -50 + -20x = 50 + -50


Combine like terms: 50 + -50 = 0

0 + -20x = 50 + -50

-20x = 50 + -50


Combine like terms: 50 + -50 = 0

-20x = 0


Solving

-20x = 0


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Divide each side by '-20'.

x = 0.0


Simplifying

x = 0.0

5 0
3 years ago
What is the inverse of the function f(x) = 2x – 10?
noname [10]

Answer:

The inverse f-1(x) = ( x + 10)/2.

Step-by-step explanation:

f(x) = 2x - 10

Find x in terms of f(x):

2x = f(x) + 10

x = (f(x) + 10))/ 2

Replace x by the inverse f-1(x) and f(x) by x:

f-1(x) = (x + 10)/2.

7 0
3 years ago
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