Answer:
5 cubic units
Step-by-step explanation:
If each cube represents 1 cubic unit, then the volume will be the number of cubes to make the figure. When you count, there are 5 cubic units. The volume is 5.
Anything Multiplied by 0 will be 0
Answer:
(-2.4, 37.014)
Step-by-step explanation:
We are not told how to approach this problem.
One way would be to graph f(x) = x^5 − 10x^3 + 9x on [-3,3] and then to estimate the max and min of this function on this interval visually. A good graph done on a graphing calculator would be sufficient info for this estimation. My graph, on my TI83 calculator, shows that the relative minimum value of f(x) on this interval is between x=2 and x=3 and is approx. -37; the relative maximum value is between x= -3 and x = -2 and is approx. +37.
Thus, we choose Answer A as closest approx. values of the min and max points on [-3,3]. In Answer A, the max is at (-2.4, 37.014) and the min at (2.4, -37.014.
Optional: Another approach would be to use calculus: we'd differentiate f(x) = x^5 − 10x^3 + 9x, set the resulting derivative = to 0 and solve the resulting equation for x. There would be four x-values, which we'd call "critical values."
Answer:
8.60
Step-by-step explanation:
A^2+B^2=C^2
5*5=25 7*7=49 49+25= 74
√ 74= 8.602...
Answer:
C.
Step-by-step explanation:
The two angles are better known as corresponding angles, and since the two lines are parallel, then the angles must be congruent. This means x = 115 degrees.
C. The values of x is 115 because the two angles shown are congruent.
<u>Why the other answers are wrong:</u>
A & B are wrong because it states the two angles are supplementary, but supplementary angles have to add up to 180 degrees and 115+115 is 230 not 180.
D is wrong because there's no logical explanation to why you would subtract 90 degrees from 115 to solve for x.
