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3 years ago

PLEASE HELP!!! formula for perimeter is: P=1/2 b•h

Mathematics

1 answer:

Semenov [28]3 years ago

7 0

Answer: The cost of 97.5 square feet of glass is $1828.13

( Incredible! Who has a window that size in their house?!?! )

Step-by-step explanation:

The Area (not perimeter) is 1/2 b*h

To find the height if this equilateral triangle we can use the Pythagorean Theorem c² = a² + b²

The side of the triangle is 15; that is the hypotenuse, c

The base of the right triangle we need is 7.5

The altitude (height) is what we need to calculate.

15² = a² + 7.5²

225 = a² + 56.25 Subtract 56.25 from both sides, then take the square root to find a, that is h in the Area equation.

√168.25 = 12.99 . Round to 13

Calculate the Area = 1/2 b*h

15*13/2 = 97.5 square feet.

Multiply by the cost per square foot: $18.75

97.5 * 18.75 = 1828.125 . Round to $1828.13

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3 years ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

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$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

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3 years ago

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