Answer: y= 3 x−8
Step-by-step explanation:
Answer:
The distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
)
Step-by-step explanation:
From the question,
Short is 7 over 8, that is,
Short = ![\frac{7}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D)
and longest is 3 over 8, that is
Longest = ![\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D)
The distance between the longest dog and the shortest dog can be determined by finding the difference between the fractions. That is,
![\frac{7}{8} - \frac{3}{8} = \frac{7 - 3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B8%7D%20-%20%5Cfrac%7B3%7D%7B8%7D%20%3D%20%5Cfrac%7B7%20-%203%7D%7B8%7D)
![= \frac{4}{8}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B4%7D%7B8%7D)
![= \frac{1}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D)
Hence, the distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
).
Answer:
sin θ = 0.98
cos θ = 0.198 (≈ 0.2)
Step-by-step explanation:
The steps described below, please check the calculation carefully again by yourself
radius = OP = 1
y² = ((11/61 - 1)² + (60/61 - 0)²)
= 6100 / (61 x 61) = 100/61 distance between 2 points
h² = y² - x² = OP² - (1 - x)²
100/61 - x² = 1 - (1 -2x + x²) = 2x - x²
2x = 100/61
x = 50/61
h² = 100/61 - (2500/3721) =3600/3721
h = 60/61
sin θ =h / OP = 60/61 = 0.98
cos θ = √1 - sin²θ = 0.198 (≈ 0.2)
Step-by-step explanation:
the area = ½×14×7× sin 125°
= 49× 0.82
= 40.18 => 40.2 cm²