Answer:
David took 16 oranges.
Step-by-step explanation:
We are given the following in the question:
Total number of oranges = 48
Oranges rotten =
Number of oranges rotten =
There were 16 rotten oranges.
Number of good oranges left =
These are equally divided among Ben and David.
Number of oranges each Ben and David get =
Thus, David took 16 oranges.
Answer:
AH =
Step-by-step explanation:
The opposite sides of a rectangle are congruent , so
GH = RA = 7
Using Pythagoras' identity in right Δ GHA
AH² + GH² = GA²
AH² + 7² = 10²
AH² + 49 = 100 ( subtract 49 from both sides )
AH² = 51 ( take the square root of both sides )
AH = ≈ 7.14 ( to 2 dec. places )
1.) Solve for length b.
The simpler method is to use the Pythagorean theorem. If , then this means that
.
Plug in the values:
-->
So this means that b is the square root of 72, which is 8.49
2.) Solve for ∠A.
Let's refer to the law of sines. If , then this means we can cross multiply. Since A is the value we are solving for, the equation should be written out like this:
-->
A is 39.52°
3.) Solve for ∠B.
This is the easiest one. The sum of all three angle measures in a triangle add up to 180°. We already know that one of the angles is a right angle and the other 39.52°.
39.52 + 90 = 129.52
180 - 129.52 = 50.48
∠B is 50.48°.