Answer:
x = 12 degrees
Step-by-step explanation:
m < LNM = (70+136)/2
= 206 / 2
= 103 degrees
So 7x + 19 = 103
7x = 103 - 19 = 84
x = 84/7
x = 12.
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer:
35
Step-by-step explanation:
23,125/185= 125
125-90 = 35
Answer:
6
+ 5x³ - 9x² + 2x
Step-by-step explanation:
Given
(3x² - 2x)(2x² + 3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis
= 6
+ 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms
= 6
+ 5x³ - 9x² + 2x
Step-by-step explanation:
A(x) = x² + 10x -75
= (x + 15)(x - 5)