Pythagorean theorem is a^2 + b^2 = c^2. the hypotenuse is always the longest, so lets plug in the values.
a^2 + 12^2 = 20^2
if we simplify, we get a^2 + 144 = 400
then subtract 400-144 = 256
then find the sq. root of 256 = 16.
the answer is 16 feet
Answer:
2950 [Starting from 2,000 bacteria.]
Step-by-step explanation:
400/8 = 50
Bacteria grown/time = bacteria per hour
19x50 = 950
time x bacteria per hour = bacteria grown
2000 + 950
bacteria started + bacteria grown
Answer:
Step-by-step explanation:
∠BCA=∠CAE (alternate angles)
∠CAE=x
41+102+∠BCA=180
∠BCA=180-143=37
so x=37°
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
Answer: four raised to the one third power
Step-by-step explanation:
According to the written description, we have the following expression:
![\sqrt{\frac{4}{\sqrt[3]{4}}}](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7B4%7D%7B%5Csqrt%5B3%5D%7B4%7D%7D%7D)
Which can also be written as:
Let's work with this, taking into account the rules of multiplication and division of power with the same base:
Multiplying the exponents:
This is read as "four raised to the one third power"
