Answer:
Step-by-step explanation:
Let he speed of the boat on the lake is x.
<u>Considering the speed of the current it will take him:</u>
- 22.5/(x + 6) + 22.5/(x - 6) = 9
- 2.5 / (x + 6) + 2.5 / (x - 6) = 1
- 2.5(x - 6 + x + 6) = (x + 6)(x - 6)
- 2.5*2x = x² - 36
- x² - 5x - 36 = 0
- x = (5 ± √(5² + 4*36))/2 = (5 ± 13) / 2
- x = (5 + 13)/2 = 9 mph (negative root is discarded as the speed should be positive)
It is 10% higher than the theoretical probability.Thats the answer because the theoretical odds are 50-50% (75 heads and 75 tails). 10% of 75 is 15, so 75+15=90, which means that it got a 10% higher than the theoretical probability.
We know that
[lateral surface area of a regular triangular pyramid]=3*[area of one <span>equilateral triangle]
so
[area of one </span>equilateral triangle]=lateral surface/3-----> 81/3-----> 27 ft²
[<span>surface area of the regular triangular pyramid]=lateral area+area of the base
area of the base is equals to the area of the lateral sides because are </span>equilateral triangles
therefore
area of the base=27 ft²
[surface area of the regular triangular pyramid]=81+27----> 108 ft²
the answer is
<span>the surface area of the regular triangular pyramid is 108 ft</span>²
62+92 is 154. 180- 154 is 26
Answer:
Given expressions are equivalent.
Step-by-step explanation:
Given expression:
4 (x + 3) + 2x and 6 (x + 2)
Find:
Given equivalent expressions or not
Computation:
By taking LHS
4 (x + 3) + 2x
4x + 12 + 2x
6x + 12
By taking RHS
6 (x + 2)
6x + 12
We say that
LHS = RHS
So,
Given expressions are equivalent.
