Answer:
a = 40
Step-by-step explanation:
This is a multi-step equation using the distributive property and rational coefficents (fractions). The first step is to complete the distributive property on both sides of the equation and multiply each term in the expression in parenthesis by the constant on the outside. (3/4 x 2a) - (3/4 x 6) +1/2 = (2/5 x 3a) + (2/5 x 20). When we multiply and simplify, we get 3/2a - 9/2 + 1/2 = 6/5a + 8. Next step is to combine like terms: 3/2a - 8/2 = 6/5a +8. We then need to isolate the variable by using inverse operations: 3/10a = 12, then solve for 'a' by multiplying both sides by the reciprocal (10/3) to get a = 40.
Answer:
Volume of sphere = 4.186 cubic inches
Step-by-step explanation:
Radius of sphere = r = 1 inch
Volume of sphere = ?
The formula used is: 
Putting value of radius and π and finding volume:

So, Volume of sphere = 4.186 cubic inches
Answer:
y-2=4/3(x-2)
Step-by-step explanation:
Pick one coordinate and then plug the x value and the by value into the formula and then to find the slope and count up 4 and to the right 3.
Answer
As per the statement:
Height of the building(h)= 30 feet
Angle of elevation
= 41°
We have to find the distance of observer from the base of the building.
Using tangent ratio:

You can see the diagram as shown below.
Opposite side = height of the building = 30 feet.
Adjacent side = distance of observer from the base of the building = x (let)
Then;

0.86928673781 = 
By cross multiply we have;

Divide by 0.86928673781 both sides we get;
x = 34.51 m
Therefore, the distance of observer from the base of the building is 34.51 m