Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Answer:
Step-by-step explanation:
approximately 0.94625 liters per second
You would have to take 6336 steps because 63360 inches is one mile and that divided by 10 is 6336
Answer:
a = -7 and b = 1. The constant term is 4
Step-by-step explanation:
In standard form, this equation is -7x^2 + x + 4 = 0
The coefficients are a = -7 and b = 1. The constant term is 4.
Answer:
Answer: There are 21 eggs left.
Step-by-step explanation:
One carton has 12 eggs.
2 cartons are two times one carton, so two cartons have 2 times 12 eggs.
2 * 12 = 24
There are 24 eggs in two cartons.
Margot uses 3 eggs. We subtract 3 eggs from 24 eggs.
24 - 3 = 21
Answer: There are 21 eggs left.