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!
Answer:
the distance between the two points is √130.
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 = 9^2 = 81
b^2 = 7^2 = 49
c^2 = 81 + 49 = 130
c = √130
Answer:
y = 2x + 21
Step-by-step explanation:
Step 1: Write out known variables
y = mx + b
m = 2
y = 2x + b
Step 2: Find <em>b</em>
9 = 2(-6) + b
9 = -12 + b
b = 21
Step 3: Rewrite linear equation
y = 2x + 21
The three integers are x, x+2, x+4
5(3x+6)=42+x(x+2)
15x+30=x^2+2x+42
x^2 - 13x +12=0
(x-12)(x-1) = 0
x = 12 or 1
since the integers have to be odd we exclude 12
integers are 1,3,5
Answer:
1:D
2:A
3:C
4:E
5:B
Step-by-step explanation:
A negative exponent will be when you move the decimal point to the left. A positive exponent will be moving the decimal point to the right.
The number of the exponent is how many times you will move the decimal point.
