Answer:
31/35
Step-by-step explanation:
= 62/70
= 62 ÷ 2/70 ÷ 2
= 31/35
If its perimeter, it should be quite easy to find. Just add 12+9+15. Which equals 36. So the perimeter is 36 inches. -Hope it helps!
Answer: it will take 5 people 6.4 hours to do the work.
Step-by-step explanation:
The number of hours required to do a job varies inversely as the number of people working. Let h represent the number of hours required to do the job. Let p represent the number of people working. Therefore,
h is inversely proportional to p
Introducing a constant of variation, k, it means that
h = k/p
It takes 8 hours for 4 people to paint the inside of a house. Therefore
8 = k/4
k = 8×4 = 32
The formula becomes
h = 32/p
To determine how many hours it will take 5 people to do the work, we will substitute p = 5 into the formula. It becomes
h = 32/5 = 6.4 hours
Answer:
28°
Step-by-step explanation:
You're given that line DE and line FG are parallel and KL and FG are perpendicular. Then you can find out angle ∠BAC by using the vertical angles property: ∠BAC=62°. Then since KL and FG are perpendicular ∠ABC = 90°. So you find the angle ∠BCA by finding the sum of interior angles: 62+90+∠BCA=180, therefore ∠BCA is 28°. Finally, ∠x or ∠JCG = 28 because ∠JCG and ∠BCA are vertical angles and congruent.
There are two ways to work this out: normal variables or using "imaginary" numbers.
Normal variables:
![(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}](https://tex.z-dn.net/?f=%20%287%2B2i%29%283-i%29%5C%5C%287%2A3%29%2B%5B7%2A%28-i%29%5D%2B%283%2A2i%29%2B%5B2i%2A%28-i%29%5D%5C%5C21-7i%2B6i-2i%5E%7B2%7D%5C%5C%5C%5C21-i-2i%5E%7B2%7D)
Imaginary numbers:
Using the result from earlier:
Now since
, then the expression becomes:
