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SVETLANKA909090 [29]
3 years ago
9

Janice wants to buy carpet for a trapezoid shaped room. The bases of the trapezoid are 12 feet and 14 feet, and the height is 15

feet. If the carpet she like is $5.50 per square foot,how much will new carpet for the room cost?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
For this case, the first thing to do is find the area of the trapezoid.
 We have then:
 A = (1/2) * (b1 + b2) * (h)

 Where,
 b1: b2: Trapezoid bases
 h: height of the trapezoid
 Substituting values we have:
 A = (1/2) * (12 + 14) * (15)

A = 195 ft ^ 2
 Then, the cost per square foot is given by:
 C = 5.50A

C = 5.50 * 195

C = 1072.5
 Answer:
 
The new carpet for the room will cost:
 
C = 1072.5 $
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An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
Which of the following constants can be added to x2 + x to form a perfect square trinomial?
solmaris [256]

The constant should be added to form a perfect square trinomial will be 1/4. Then the correct option is D.

<h3>What is a quadratic equation?</h3>

It's a polynomial with a value of zero. There exist polynomials of variable power 2, 1, and 0 terms. A quadratic equation is an equation with one statement in which the degree of the parameter is a maximum of 2.

The expression is x² + x.

Then the constant should be added to form a perfect square trinomial.

Then the constant will be

The square of the half of the coefficient of the variable x is to be added to make a perfect square.

Then the constant will be 1/4.

Then the perfect square will be

\rm \rightarrow x^2 + x + \dfrac{1}{4}\\\\\\\rightarrow x^2 + 2 \times \dfrac{1}{2} x + \left (\dfrac{1}{2} \right )^2\\\\\\\rightarrow \left (x + \dfrac{1}{2} \right)^2

More about the quadratic equation link is given below.

brainly.com/question/2263981

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2 years ago
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Answer:

x=10

Step-by-step explanation:

the angle is 90 degrees

90-29=61

61-1=60

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have a good day

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