Answer:
∠T = 135°
Step-by-step explanation:
Supplementary angles sum to 180°, thus
∠T + ∠S = 180
However, ∠T = 3∠S, hence
3∠S + ∠S = 180
4∠S = 180 ( divide both sides by 4 )
∠S = 45°, hence
∠T = 180° - 45° = 135°
It could be $15 meal for x people plus $8 tip
You multiply 127 by 18 and 35,then you add it
2286+4445
ans=6731
Answer:
Adjacent, b = 45 units
Step-by-step explanation:
Let the length of sides of the triangle be;
- Opposite side = a
- Adjacent side = b
- Hypotenuse side = c
<u>Given the following data;</u>
Hypotenuse, c = 53 units
Opposite, a = 28 units
To find the missing side (adjacent), we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
53² = 28² + b²
2809 = 784 + b²
Rearranging the equation (collecting like terms), we have;
b² = 2809 - 784
b² = 2025
Taking the square root of both sides, we have;
b = √2025
<em>Adjacent, b = 45 units</em>
Let us begin by defining the formula for finding the volume of a prism.
The volume of a prism can be found using the formula below:
For the given prism, the base is a right-angled triangle. The dimensions of the prism are:
base height = 8 ft
height = 3ft
base length =6 ft
length of the hypothenuse = 10ft
Hence, the volume of the prism is:
Substituting the given dimensions:
Hence, the volume of the prism is 72 cubic feet
Answer: 72 cubic feet