The measure of angle A is 144.3 degrees and the angle to cut the molding is 54.3 degrees
<h3>How to solve for angle A?</h3>
Start by solving the acute part of angle A using the following sine function
sin(Ax) = (30 - 4)/32
Evaluate the quotient
sin(Ax) = 0.8125
Take the arc sin of both sides
Ax = 54.3
The measure of angle A is then calculated as:
A = 90 + Ax
This gives
A = 90 + 54.3
Evaluate
A = 144.3
Hence, the measure of angle A is 144.3 degrees
<h3>The angle to cut the molding</h3>
In (a), we have:
Ax = 54.3
This represents the angle where the molding would be cut
Hence, the angle to cut the molding is 54.3 degrees
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Answer:
Step-by-step explanation:
Perimeter is found by adding together all the lengths of the sides. For us, that is x + (2x + 5) + (6x - 17) + (3x + 2). Now we will just combine like terms. We can also drop the parenthesis because they do nothing for us and mean nothing to the problem.
x + 2x + 5 + 6x - 17 + 3x + 2 becomes
12x - 10
Answer: divide 2 from what you got from the last one
Step-by-step explanation:
32+16=48 so then divide 16 by 2 or subtract 8
1.
- Cone
2.
- Sphere
3.
- Cylinder
4.
- Pyramid
5.
- Prism
Solution:
1. 
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2. 
Volume of sphere = 
where r is the radius of the sphere.
3. 
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4. 
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5. 
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.