Answer:
AB = 75
BC = 60
AC = 45
m∠A = 53°
m∠B = 37°
m∠C = 90°
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
Therefore:
- side opposite angle A = BC = 60
- side adjacent angle A = AC = 45
To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AC² + BC² = AB²
⇒ 45² + 60² = AB²
⇒ AB² = 5625
⇒ AB = √5625
⇒ AB = 75
To find m∠A:
m∠C = 90° (as it is a right angle)
The interior angles of a triangle sum to 180°
⇒ m∠A + m∠B + m∠C = 180°
⇒ 53° + m∠B + 90° = 180°
⇒ m∠B = 180° - 53° - 90°
⇒ m∠B = 37°
Answer:
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Diameter of the circular pan = 24 inches
Radius of the circular pan = 24/2 = 12 inches
2. What is the area of the pizza?
Let's use the formula of the area of a circle, this way:
Area = π * r²
Substituting with the real values, we have:
Area = 3.1416 * 12²
Area = 452.39 inches²
<u>The area of a pizza made in that circular pan is 452.39 inches²</u>
10+10=20 = length
20 + 18 = 38 width = 18 or 9 on each side
10 x 9 = 90
Answer 90
Answer:
x = 80°
Step-by-step explanation:
The full angle of the straight line is 180°. We already have 100°, so we need to find out what is left over for x
180 - 100 = 80
So the angle of x is 80°
Answer:
B. There were 60 nano-related patents granted in 1991
Step-by-step explanation:
In the expression:
60⋅1.2^t
t is years after 1991, that is, in the year 1993, t = 2
60 is the value of the expression at t = 0, then it represents the amount of nano-related patents granted in 1991
