Answer:
Step-by-step explanation:
12) looking at the right angle triangle,
x = hypotenuse
y = adjacent side
Opposite side = 4
To determine x, we would apply
the sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = 4/x
x = 4/sin30 = 4/0.5
x = 8
To determine y, we would apply
the Cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = y/8
y = 8Cos30 = 8 × 0.866
y = 6.93
14) looking at the right angle triangle,
hypotenuse = 22
y = opposite side
x = adjacent side
To determine y, we would apply
the sine trigonometric ratio.
Therefore,
Sin 45 = y/22
y = 22Sin45 = 22 × 0.7071
y = 15.6
x = y = 15.6 because the triangle is an isosceles triangle.
Ahh this is a good hard question hopefully someone comes along and helps you out with it. Goodluck my friend!
Answer:one solution
Step-by-step explanation:
x=-3, TeR
Answer:
The area of the garden is 72 square feet. The length of fencing required to completely enclose the garden is 36 feet.
Given:
Right triangular prism
To find:
The surface area of the right triangular prism
Solution:
<u>Using nets of the prism:</u>
Area of large rectangle = length × width
= 7 × 5
Area of large rectangle = 35 square units
Area of middle rectangle = length × width
= 7 × 4
Area of middle rectangle = 28 square units
Area of small rectangle = length × width
= 7 × 3
Area of small rectangle = 21 square units
Area of top triangle = ![\frac{1}{2}bh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dbh)
![=\frac{1}{2}\times4\times3](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes4%5Ctimes3)
Area of top triangle = 6 square units
Area of bottom triangle = ![\frac{1}{2}bh](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dbh)
![=\frac{1}{2}\times4\times3](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes4%5Ctimes3)
Area of bottom triangle = 6 square units
Total surface area = 35 + 28 + 21 + 6 + 6
= 96 square units
The surface area of the right triangular prism is 96 square units.