Answer:
Step-by-step explanation:
K = A + 17
K + A = 117
A + 17 + A = 117
2A + 17 = 117
2A = 117 - 17
2A = 100
A = 100/2
A = 50 <=== what Allen sold
K + A = 117
K + 50 = 117
K = 117 - 50
K = 67 <==== what Kay sold
Answer:
Step-by-step explanation:
A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not
8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Answer:
192.92 ft^3
Step-by-step explanation:
volume of a cone = 
πr²h
π = 3.14
r = radius ]
h = height
the base of a cone is in the shape of a circle. thus, the circumference of the base is equal to the circumference of a circle
circumference of a circle= 2πr
30.144 = 2 x 3.14 x r
r = 30.144 / 6.28
r = 4.8
Volume = 1/3 x 3.14 x 4.8² x 8 = 192.92 ft^3
Answer:
4000 cm^3
Step-by-step explanation:
Note that no image was attached for reference purposes
Step one:
We are given that the original length and width of the cube is 20cm
if the cut part is 10cm
hence the dimension of the cut part is
lenght = 20cm
Width= 20cm
Hieght= 10cm
Step two:
the volume of the cut part will be
Volume= 20*20*10
Volume= 4000 cm^3
