Answer:
y = -3x + 5/2
Step-by-step explanation:
y = -3x + 5/2
Answer:
The height of the statue is 12 feet
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
---> by TOA (opposite side divided by the adjacent side)
substitute the given values
![tan(68^o)=\frac{AB}{5}](https://tex.z-dn.net/?f=tan%2868%5Eo%29%3D%5Cfrac%7BAB%7D%7B5%7D)
solve for AB (the height of the statue)
![AB=tan(68^o)(5)=12\ ft](https://tex.z-dn.net/?f=AB%3Dtan%2868%5Eo%29%285%29%3D12%5C%20ft)
therefore
The height of the statue is 12 feet
Answer:
1) slope is -1/3
2) slope is 3 or 3/1
3)slope is -3/2
4)slope is3/2
5)slope is 5/3
6)slope is 7/3
Step-by-step explanation:
Hello!
The length and width are given.
We know the formula for calculating perimeter :
![\fbox {Perimeter = 2(Length + Width)}](https://tex.z-dn.net/?f=%5Cfbox%20%7BPerimeter%20%3D%202%28Length%20%2B%20Width%29%7D)
Let's solve!
- Perimeter = 2(123 + 17k + 24k - 49)
- Perimeter = 2(41k + 74)
![\fbox {Perimeter = 82k + 148}](https://tex.z-dn.net/?f=%5Cfbox%20%7BPerimeter%20%3D%2082k%20%2B%20148%7D)
∴ The perimeter is 82k + 148.
Answer:
x = 5√3; y = 5
Step-by-step explanation:
Finding y: The sine function links the 30° angle, the 10 unit hypotenuse and the side opposite the angle, y:
sin 30° = 1/2 = y/10
Solve the equation of ratios
1 y
-- = ----- using cross-multiplication first: 2y = 10 → y = 5
2 10
We can now find x either by using a similar approach and the cosine function or by using the Pythagorean Theorem:
x² + y² = 10² = 100 → x² = 100 - y² = 100 - 5² = 75
If x² = 75, then x = ±√75 = ± (√25)·(√3) → ±5√3
Since lengths are always positive, take x = 5√3 as the answer.