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grigory [225]
3 years ago
6

A room in the shape of a triangle has sides of length 7 yd, 8 yd, and 11 yd. If carpeting costs $17.50 a square yard and padding

costs $3.25 a square yard, how much to the nearest dollar will it cost to carpet the room, assuming that there is no waste?
Mathematics
2 answers:
Monica [59]3 years ago
7 0
770 dollars I think I'm not 100% sure
Tpy6a [65]3 years ago
7 0
3. By sketching this triangle it can be determined that this is not a right triangle, but rather an oblique-angled triangle. For the lengths of the three sides, let a = 7, b = 8, and c = 11, and let angle A be opposite side a, and angle B be opposite side b, and angle C be opposite side c. 

<span>Using the Law of Cosines: </span>

<span>cos(A) = (b² + c² - a²)/2bc = [(8)² + (11)² - (7)²)/2(8)(11) = 0.773 </span>

<span>A = acos(0.773) = 39.4° </span>

<span>Using the Law of Sines: </span>

<span>sin(A)/a = sin(B)/b ==> sin(B) = (b/a)sin(A) = (8/7)sin(39.4°) = 0.725 </span>

<span>B = asin(0.725) = 46.5° </span>

<span>Knowing angles A and B, angle C is: </span>

<span>C = 180° - A - B = 180° - 39.4° - 46.5° = 94.1° </span>

<span>Finally, the area is: </span>

<span>Area = (ab/2)sin(C) = [(7)(8)/2]sin(94.1°) = 27.928 yd² </span>

<span>The total cost is (27.928)($17.50 + $3.25) = $579.51 [answer (a)] </span>
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Answer:

A = (2p + 9) (2p - 9)

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Step-by-step explanation:

For A : Rewrite 4p^2 as (2p)^2.

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Rewrite 81 as 9^2.

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Since both terms are perfect squares, factor using the difference of squares formula, a^2 − b^2 = ( a + b ) ( a − b ) where a = 2p and b = 9 .

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For B : Consider the form x^2 + bx + c . Find a pair of integers whose product is c and whose sum is b . In this case, whose product is 36 and whose sum is − 13 .

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I hope this helps.

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AlekseyPX
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5 0
3 years ago
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oee [108]

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What is real roots of the equation?

    We are aware that when we resolve a linear or quadratic equation, we always arrive at the value variable of the equation, or, to put it another way, we always locate the equation's solution. This "solution" is what we refer to as the real roots. For instance, when the equation X^2-7x+12=0 is solved, the actual roots are 3 and 4.

Here given,

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To learn more about real roots refer the below link

brainly.com/question/24147137

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