Answer:
x= 1
QS = 10 cm
QRS = 40cm
Step-by-step explanation:
4x + 1 = 5x
x= 1 cm
QS = 4x + 1 + 5x
= 9x + 1
= 9 + 1
= 10cm
QRS perimeter
QS + RQ + RS but ( RQ = RS)
= 10 + 15 + 15
= 40cm
Answer:
The question is incomplete, the complete question is Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 12 ft³ of fluffy material. The base is 3 ft, the height is 2 ft, what is the length of the pillow?
The length of the pillow is 4 feet
Step-by-step explanation:
The formula of the volume of the wedge is
, where
- b is the base of it
- h is the height of it
- l is the length of it
∵ The pillow in the shape of a wedge
∵ The pillow is filled with 12 ft³ of fluffy material
∴ The volume of the wedge = 12 ft³
∵ The base = 3 feet
∵ The height = 2 feet
- Use the formula of the volume above to find its length
∵ ![V=\frac{1}{2}(2)(3)l](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%282%29%283%29l)
∴ V = 3 l
∵ V = 12 ft³
- Equate 3 l by 12
∴ 3 l = 12
- Divide both sides by 3
∴ l = 4 feet
∴ The length of the pillow is 4 feet
Let Brian's steps have a measure of 1, and Richard's steps have a measure of k. Then after each walks 5 steps away from the other, their distance apart is
... 5 + 5k
We are told that distance is equal to 9 of Richard's steps, so is equal to 9k.
... 5 + 5k = 9k
... 5 = 4k . . . . . . . subtract 5k
... 5/4 = k . . . . . . divide by 4
Richard's steps are 5/4 the size of Brian's steps. The appropriate selection is
... b) 5/4
Although there is (1/2) in the front of the expression, the base is 2, not (1/2). (1/2) is a positive number, and 2 is a positive number larger than 1, so as x approaches infinity, f(x) approaches infinity as well. as x approaches negative infinity, f(x) approaches 3.