Answer:
4/25
Step-by-step explanation:
i am pretty sure this is correct:)
<span>The sum of the
angle of a triangle is 180 degrees. It is mentioned that Hannah drew a pattern
of equilateral triangles. Equilateral triangle has three equal sides. Also, its
angles are the same, having 60 degrees at each corner of the triangle. The answer
is a. Letter b does not qualify to be an equilateral triangle because 120
degrees times 3 is greater than 180 degrees. Letter c and d exceeds the total
number of angles at 180 degrees.</span>
I can't say for sure this answer is 100% correct because I think more info is needed.
If your teacher is looking for the turning point, then that would be (4,10)
The equation y = a(x-h)^3 + k has a turning point at (h,k). The parent function y = x^3 gets shifted h units to the right (assuming h is positive) and k units up (if k is positive). In this case, (h,k) = (4,10) so we have y = a(x-4)^3 + 10. The original turning point (0,0) has been shifted to the new turning point (4,10) which is 4 units to the right and 10 units up. The value of 'a' does not effect the turning point.
If x was say the time in minutes and y was the temperature, then the turning point of y = -3(x-4)^3 + 10 could mean that at time 4 minutes (x = 4) the substance turns from liquid to solid (y = 10 degrees).
Note: more information is needed about this function be 100% certain about the claim made.
Answer: 68 cubic inches
Step-by-step explanation:
basically the volume of the rectangular prism would be 2 x 2 x 14, so that's 56. Then the area of the triangular prism is 3 x 2 x 2, divided by 2, which is 6. There are two triangular prisms so that' 12. 56 + 12 is 68. That's the answer
25.
The area is b * h, so
(2x + 7) * 4
which is greater than 100 units, so
(2x + 7) * 4 ≥ (don't look at =; only major) 100
8x + 28 ≥ 100
8x ≥ 100 - 28
8x ≥ 72
x ≥ 9
26.
The perimeter is 2 * (b + h), so
2 * (2x + 7 +4) = 2 * (2x + 11)= 4x + 22
which is greater than 50 units, so
4x + 22 ≥ (don't look at =; only major) 50
4x ≥ 50 - 22
4x ≥ 28
x ≥ 7
