Answer:
To solve this problem, we can use Pythagorean theorem, it tells us that the square of the hypotenuse is equal to the sum of the square of the other two sides.
When we look at these side lengths, we can see that only the second answer is suitable because from the lengths, we can predict that 13 is the length of the hypotenuse, 5 is the length of the shorter leg and 12 is the length of the other leg, and when you actually calculate it, the result is correct as well:
5² + 12² = 25 + 144 = 169
13² = 169
So the answer is B
Answer:
20 ounces
Step-by-step explanation:
For this type of problem it is best to work backwards.
If David has 18, and Charlie gave him 1/2, then Charlie has 36 because 18x2=36. Barbara has 60, because 36/3= 12 and 5x12=60. Then, Amanda has 80 because 60/3=20 and 20x4= 80. But, we need to subtract 60 because the problem asks how many ounces of water does Amanda <em>still</em> have. So, 80- 60(The amount of water she gave to Barbara)=20.
To solve the question we shall use the formula for the range given by:
Horizontal range, R=[v²sin 2θ]/g
plugging in our values we get:
500=[160²×sin 2θ]/10
5000=160²×sin 2θ
0.1953=sin 2θ
thus:
arcsin 0.1953=2θ
11.263=2θ
hence:
θ=5.6315°~5.63
Answer:
AC = √105 ≈ 10 cm (nearest whole number)
Step-by-step explanation:
Use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse of a right triangle)
Give one of the legs = 4cm and the hypotenuse = 11 cm:
⇒ 4² + AC² = 11²
⇒ 16 + AC² = 121
⇒ AC² = 121 - 16
⇒ AC² = 105
⇒ AC = ±√105
As distance is positive, length of AC = √105 ≈ 10 cm (nearest whole number)
