Answer: B=27 m²
Step-by-step explanation:
Based on the information in the problem, if the volume V of a rectangular pyramid varies jointly as the area of the base B and the height h, you can write the following equation:
Where k is a constant.
You can calculate k as following:
When you solve for k you obtain:
Then, when V=81 m³ and h=9m m, B is:
Answer:
30
Step-by-step explanation:
We can ignore the fact they are similar altogether. It's known that all 3 angles of a triangle add up to 180, so:
180=102+48+m
180=150+m
30=m
This means what what angle plus 95° gives you an 180° angle. So an 85° angle measure is supplementary to 95
<span>After 1 hour, the diving bell was -1/2 mile relative to sea level.
Since the rate of decent is constant, we can use two ratios to represent the depth at 2 different times. To make things easier to write, I'll use decimals to represent time and depth.
-.75 / 1.5 = x / 1
Now solve for x
-0.5 = x
So after 1 hour, the diving bell was -1/2 mile relative to sea level.</span>
Answer: The solution is (0,2)
Step-by-step explanation:
2x +3y = 6 We will solve the equations using the elimination method
-5x +2y= 4 but first we need to eliminate one of the variables and we will multiply the first equation by 5 and multiply the second equation by 2 to eliminate the x variable.
5(2x + 3y) =6(5) new equation : 10x +15y = 30
2(-5x + 2y) = 4(2) new equation ; -10x +4y =8
Now we have to new equations so we will eliminate the x term by adding
10x +15y = 30
-10x +4y =8
19y = 38 divide both sides by 19.
y= 2 Now using the solution for y plot it into one of the new equations and solve for x
10x + 15(2) = 30
10x + 30 = 30
-30 -30
10x = 0
x= 0
