Answer:
A) A = 1; B = 0; C = 20
Step-by-step explanation:
The standard form for a quadratic is
Ax^2 +Bx +C=0
We are given
1/4x^2 + 5 = 0
Rewriting
1/4x^2 +0x+ 5 = 0
A = 1/4 B=0 C=5
We can multiply each side by 4
4(1/4x^2 +0x+ 5) = 0*4
x^2 +0x+ 20 = 0
A = 1 B=0 C=20
Answer:
It takes 147 hours for the snow to reach 62 inches.
Step-by-step explanation:
Given:
Height of the snow at the beginning = 84 inches
Rate at which the snow melts = f 0.15 inches per hour
To Find:
The time taken for the snow to reach 62 inches = ?
Solution:
Let the time taken to reach 62 inches be x
Then according to the question,
Total height of the snow - (rate of melting)(x) = 62 inches
On substituting the values,
84 - (0.15)(x) = 62
84 - 0.15x = 62
- 0.15x = 62 - 84
- 0.15x = -22
0.15x = 22
x = \frac{22}{0.15}
x= 146.6
x = 147
The y intercept is seven so you would start by placing a point on (0,7). Then you count Down four points because the slope is a negative number and then count nine points to the right. You would have to keep counting down four points and the right nine points until your line was long enough.
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!
