Answer:
5√13
Step-by-step explanation:
We know that PQWV is a square because its given. A square has all congruent sides. Therfore, VW is 10. The. length of VU is fifteen because the length of PU is 25 since PRSU is a square. We know that m<PVW is 90 degrees because PQWV is a square. Therefore, we can say the m<UVW is 90 degrees because of a straight line. Using the pythagorean therom (a^2 +b^2=c^2 (where a and b are the legs and c is the hypotenuse)) we can say that √(10^2+15^2). This equals to √325. This can be simplified to 5√13.
So the larger number is x, and the smaller number is y
7y=x
3x=7+4y
(So plug in the 7y=x information into the second equation)
3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
Using the formula for area for a parallelogram, A=BH, where A is area, B is Base, and H is height, you follow that. So in this case, you would want to find one of the area's then multiply it by 4. So for the area you get 20.52 meters. If you multiply it by 4, you get 82.08 meters. Have a nice day!
Answer:
Step-by-step explanation:
The Westside recreation center built a new swimming pool that measures 20 ft by 15 ft. The pool is rectangular. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
Therefore, perimeter of the pool would be
2(20 + 15) = 70 ft
The formula for determining the area of a rectangle is expressed as
Area = length × width
Therefore, area of the pool would be
20 × 15 = 300 ft^2
The formula for determining the volume of a rectangle is expressed as
Volume = length × width × height
Given depth = 6 feet
Therefore, volume of the pool would be
20 × 15 × 6 = 1800 ft^3
The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135
