R would equal -189, there is step by step in the picture
Volume of the prism = 75 cubic feet
Solution:
The image given is a rectangular prism (or) a cuboid.
Area of base = l × b = 25 square feet
Height of the prism = 3 feet
Volume of the prism = l × b × h
= (l × b) × h
= 25 × 3
= 75 cubic feet
Volume of the prism = 75 cubic feet
Hence, the volume of the prism is 75 cubic feet.
Answer:
Check pdf
Step-by-step explanation:
9.
<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
Answer:
A) g is increasing, and the graph of g is concave up.
Step-by-step explanation:
g'(x) = ∫₀ˣ e^(-t³) dt
Since e^(-t³) is always positive, ∫₀ˣ e^(-t³) dt is positive when x > 0. So the function is increasing.
Find g"(x) by taking the derivative using second fundamental theorem of calculus:
g"(x) = e^(-x³)
g"(x) is always positive, so the function is always concave up.
