Lauren is building a tree house with her dad. The dimensions of the floor are 9 feet by 6 feet. What is the area of the floor,measured in square yards?

Answers

Answer 1
Answer: 6 square yards. L x W, gives you 54 but that's in feet. you have to convert it into square yards giving you 6 square yards
Answer 2
Answer: There are 3 feet in one yard, which means that the dimensions of the floor is 3 yards x 2 yards. In order to find the area, we must multiply the length by the width. Therefore the area of the floor is 6 square yards.

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Wade can paint a certain room in 7 hours. Rhonda can paint the same room in 5 hours. How long will it take them working together to paint the room? Round your answer to the nearest hundredth if necessary.PLEASE come up with a rational expression to solve this problem. 

Answers

Wade can paint a room in 7hr. So in 1 hour she can paint 1/7 of room
Similarly Rhonda can paint 1/5 of room in 1 hour

Let x be the number of hour required if they work together
1/7 + 1/5  = 1/x
=> (5+ 7)/35 = 1/x
x= 35/12
= 2.91

i.e around 3hrs will be required to paint the room together


A car drives 12 miles north, turns, and then drives 8 miles east. How far is the car from its starting point? a. Use the Pythagorean theorem to find the length of the missing side. Be sure to indicate which root represents the answer and write the answer in simplest radical form.
b. Use a calculator to change the answer to decimal form. Round the answer to the nearest tenth. Using this decimal number, write a sentence to explain the meaning of the answer in this situation.

Answers

a. Using the pythagorean theorem : c = √(a² + b²)
Let: a = 12; b = 8

Substituting the values:
c = √(12² + 8²)
c = √(144 + 64)
c = √(208)
c = √(16)(13)
c = +-4√13

The positive root indicates the answer. The car is 
4√13 miles from the starting point.

b. Using a calculator to simplify 
c = +-4√13 in decimal form would yield:
c = 14.42 miles.

The car is now 14.42 miles away from the starting point.

Determine the constant of proportionality for the graph.

PLEASE HELP ME!!!!

Answers

Answer:

(1)/(5)

Step-by-step explanation:

On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation (rise)/(run). In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.

(2)/(10) = (1)/(5) simplified.

Find cotx if sinx cotx cscx = sqrt2

Answers

Answer:

cot(x)=\sqrt2

Step-by-step explanation:

sin(x)cot(x)csc(x) = \sqrt2     , csc(x) = 1/sin(x)

sin(x)cot(x)((1)/(sin(x))) = \sqrt2

cot(x)=\sqrt2

John worked for 8 weeks and earned $200. If he works five days per week, how much did he earn per day?

Answers

125$ divide it by 25 
John worked for 8 weeks at 5 days per week
so total no of days worked = 8*5=40 days
total revenue earned = $200
revenue / day = 200/40 = $5

If a case of paper contains 16 packages of paper, and each package contains 500 sheets, how many sheets of paper are in a case? A. 7000 B. 8000 C. 5000 D. 4000

Answers

16x500=8000 sheets of paper

the correct answer is B. 8000

Answer: B

Step-by-step explanation: 16×500=8000