The ladder and the wall it leans on are illustrations of right triangle
The horizontal distance from the base of the ladder is 5.41 feet
<h3>How to determine the horizontal distance?</h3>
The given parameters are:
Length (L) = 26 feet
Angle of elevation (θ) = 78 degrees
The horizontal distance (D) is calculated using the following cosine ratio
cos(θ) = D/L
Substitute known values
cos(78) = D/26
Make D the subject
D = 26 * cos(78)
Multiply
D = 5.41
Hence, the horizontal distance from the base of the ladder is 5.41 feet
Read more about right triangles at:
brainly.com/question/2437195
Answer:
3012 books
Step-by-step explanation:
Let y = number of books produced and sold
Total cost = Fixed cost + Variable cost = 32379 + 10.75*y
Total sales = 21.50*y
Set these equal to each other and solve for y
21.50*y = 32379 + 10.75*y
10.75*y = 32379
B = 3012
The publisher must produce and sell 3012 books.
Answer:
yes
Step-by-step explanation:
A parallelogram is a quadrilateral is whose angles are all right angles
Answer:
48,970.7 in³
Step-by-step explanation:
If the diameter is 57.2 in, then the radius is half that, or 28.6 in.
The volume of a sphere is V = (4/3)πr³, and so the volume of this hemisphere is (2/3)πr³.
Substituting 28.6 in for r, we get the final answer:
(2/3)(3.14)(28.6)³ in³, or (to the nearest tenth of a cubic inch), 48,970.7 in³