A =
![\frac{a+b}{2} (h)](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%2Bb%7D%7B2%7D%20%28h%29)
A =
![\frac{3.8+12}{2} (4.6)](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.8%2B12%7D%7B2%7D%20%284.6%29%20)
A ≈ 36.34
The area is approximately
36.34 cm²
Let m = 10 and n = 2
We know:
y^2 = (m+n).m
y^2 = (10+2).10
y^2 = 120
y = √(120)
Then,
m^2 + x^2 = y^2
10^2 + x^2 = ( √( 120) )^2
100 + x^2 = 120
x^2 = 120 - 100
x^2 = 20
x = √(20)
x = √(4×5)
x = √(4) × √(5)
x = 2√(5)
I hope this has helped!
Answer:
III. Functions f and g are inverse functions.
Step-by-step explanation:
Answer:
2.5 miles per hour
Step-by-step explanation:
![\frac{1}{4}\times \frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cfrac%7B5%7D%7B8%7D)
Step 1: Apply the fraction rule: ![\frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%5Ctimes%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7Ba%5C%3A%5Ctimes%20%5C%3Ac%7D%7Bb%5C%3A%5Ctimes%20%5C%3Ad%7D)
![\frac{1}{4}\times \frac{5}{8}=\frac{1\times \:5}{4\times \:8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Cfrac%7B5%7D%7B8%7D%3D%5Cfrac%7B1%5Ctimes%20%5C%3A5%7D%7B4%5Ctimes%20%5C%3A8%7D)
Step 2: Set up the fraction
![\frac{5\times \:4}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%5Ctimes%20%5C%3A4%7D%7B8%7D)
- Cancel the numbers:
![\frac{4}{8}=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7B1%7D%7B2%7D)
![=\frac{5}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B5%7D%7B2%7D)
- Convert to decimal
Therefore, Oscar's speed is 2.5 miles per hour.
<DAB & <CAE are congruent because they are vertical to each other
<DAC &<BAE are congruent because they are vertical of each other