Answer:
5540.340 is rounded to the 3rd decimal place
Answer:
30.17feet high
Step-by-step explanation:
Given the following
the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)
angle of elevation = 38°
Required
Height of the flagpole (opposite)
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 38 = H/49
H = 49sin38
H = 49(0.6157)
H = 30.17feet
Hence the flagpole is 30.17feet high
Answer:
(3 V/ 4 pi) ^(1/3) = r
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We want to solve for r
Multiply each side by 3/4
3/4 V = 4/3*3/4 pi r^3
3/4 V = pi r^3
Divide each side by pi
3/4 V/ pi = pi/pi r^3
3 V/ 4 pi = r^3
Take the cube root of each side
(3 V/ 4 pi) ^(1/3) = ( r^3) ^1/3
(3 V/ 4 pi) ^(1/3) = r
<span>2x – 5 > 7
Add 5 to both sides
2x > 12
Divide 2 on both sides
Final Answer: x > 6</span>
Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26
