Answer:
Step-by-step explanation:
The given expression is : 
We need to simplify the above expression.
We know that, 
or
So, the simplified form of the given expression is 
. Hence, the correct option is (A).
9units sorry for not showing work though but glad I can help
5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
Learn more about triangles on:
brainly.com/question/25215131
#SPJ1
Answer:
<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of souvenirs bought by Thomas = 6
Space that each souvenir takes of Thomas suitcase = 1/15
Number of Thomas suitcases = 2
2. How much room is left for his own belongings in his suitcases?
Let's find out how much space the souvenirs take:
Number of souvenirs * Space that each souvenir takes
6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)
The souvenirs take 2/5 of one suitcase.
Now, we can calculate the room that is left for Thomas' belongings.
2 Suitcases - 2/5 for the souvenirs
2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5
<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>
Volume of the cylinder = hr²π
diameter = 2 × radius
16 = 2 × r
r = 16/2
r = 8 mm
V = hr²π
V = 12 × 8² × π
V = 12 × 64 × π
V = 768π mm³
