X to the 8/15 power. When you have a power raised to another power, you multiply the exponents.
Use the FOIL method (first, outside, inside, last) to multiply:
2x^2-8x+3x-12
This can be simplified even more into:
2x^2-5x-12.
Hope this helped!
Assuming you're rounding to the nearest ten-thousand, Smallest is 165,000and largest is 174,000
Answer:
2.5 cm
Step-by-step explanation:
The volume of a triangular prism is cross section × length.
The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.
4 × h × 1/2 × 7 = 35
14h = 35
h = 35/14
h = 5/2
The height of the triangular cross section is 2.5 cm.
Hello,
1. Since Angle C has the longest side for this triangle, it will have the largest degree value.
2. Use the Law of Cosines and inverse properties of “theta” to solve for Angle C. (Ensure that the calculator used is in “degree mode”, not “radian mode”.
c^2 = a^2 + b^2 - 2(a)(b)(cos (C))
15^2 = 11^2 + 14^2 - 2(11)(14)(cos(C))
225 - 317 = -2(11)(14)(cos(C))
-92 / -2(11)(14) = cos(C)
cos(C) becomes ->> cos^-1[92 /-2(11)(14)] = 72.62° ->> to the nearest degree is 73°
The answer for angle C, 73°, is logical because the triangle in the picture represents a 60-60-60 triangle, known as an equilateral triangle.
Good luck to you!
