Answer:
The unknown angle is 80
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
Let the unknown angle be x
20+80+x = 180
Add like terms
100+x = 180
Subtract 100 from each side
100-100+x=180-100
x = 80
Answer:
83,749 bottles
Step-by-step explanation:
Each bottle contain = 355ml
Total water need to pack = 29,730,895 ml
So, we can calculate the number of bottles by using following formula,
Number of bottles required = Total water ÷ Each bottle contain
by putting the value, we get
Number of bottles required = 29,730,895 ÷ 355
= 83,749
Hence, total number of bottles required is 83,749.
It's the last option again. You have 1 linear factor (3<em>x</em>) and 2 copies of a quadratic factor (<em>x</em>² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.
<u>Given</u>:
Given that the triangular prism with height 10 inches.
The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.
We need to determine the surface area of the prism.
<u>Surface area of the prism:</u>
The surface area of the prism can be determined using the formula,
where b is the base and h is the height of the triangle.
s₁, s₂, s₃ are the side lengths of the triangle and
H is the height of the prism.
Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;
Thus, the surface area of the triangular prism is 360 square inches.
Hence, Option b is the correct answer.
