Of all the rectangles with an area of 441 square feet, find the dimensions of the one with the smallest perimeter.

1 answer:

6 0

1*441 & 3*147 & 7*63 & 9*41 &21*21 are all factor pairs of 441

21&21 have the smallest sum and would make for the smallest perimeter

Answer:l=21 w=21

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For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.

vredina [299]

Answer: 10

Step-by-step explanation:

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

153 + ∠C = 180°

∠C = 27°

Next, Use the Law of Sines to solve for c:

$\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}$

$\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}$

$\dfrac{15\ sin\ 27}{sin\ 43}= c$

$10 = c$

8 0

3 years ago

Someone help!! 20 points to whoever can help me with this problem and give me the correct reasoning

MrMuchimi

Answer:

Step-by-step explanation:

180-(60+40)=180-60-40=180-100=80

4 0

3 years ago

Read 2 more answers

At the football game, 4 hamburgers and 6 soft drinks cost $34, and 4 hamburgers and 3 soft drinks cost $25. Which two equations

olga_2 [115]

Answer:

$4x+6y=34\\\\4x+3y=25$

Step-by-step explanation:

Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.

The cost of 4 hamburguers can be represented with this expression:

$4x$

And the cost of 6 soft drinks can be represented with this expression:

$6y$

Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:

$4x+6y=34$ [Equation 1]

The following expression represents the the cost of 3 soft drinks:

$3y$

According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:

$4x+3y=25$ [Equation 2]