*seed attachment for diagram
Answer:
83°
Step-by-step explanation:
Given:
Philip = (8x + 12)°
Matt = (55 - 3x)°
George = (10x + 23)°
Required:
Measure of angle at George's position
SOLUTION:
Find the value of x
(8x + 12)° + (55 - 3x)° + (10x + 23)° = 180° (sum of the interior angles of a ∆)
8x + 12 + 55 - 3x + 10x + 23 = 180
Add like terms
15x + 90 = 180
15x = 180 - 90 (subtraction property of equality)
15x = 90
x = 90/15 (division property of equality)
x = 6
✔️George = (10x + 23)°
Plug in the value of x
George = 10(6) + 23 = 60 + 23
= 83°
0.08 plus 0.3 is 0.38 because the “0.08” is in the tenths place not the single digit place so “0.3” is really 0.30 and then u add the 0.08
Answer:
The area of the shaded region is 5.86\ cm^{2}
Step-by-step explanation:
The area of the shaded region is equal to the area of the rectangle minus the area of the circle
The rectangle is a square
so
A=b^{2} -\pi r^{2}
we have
b=3\ cm
r=1\ cm
assume
\pi =3.14
substitute the values
A=3^{2} -(3.14)(1)^{2}
A=5.86\ cm^{2}
Answer:
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Step-by-step explanation:
The given function is;
f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)
Using long division to divide this as attached, we have;
f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)
Thus, the leading coefficient here is -5 and the polynomial degree is 4.
Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;
f(x) → -∞ as x → -∞
f(x) → -∞ as x → +∞
Answer:
Step-by-step explanation:
The objective is to combine the terms to make one radical, so therefore we know that we will have to take a out of the second radical .
If we divide 180 by 5, we will get 36, so now we have
×
can be simplied into just 6.
So now the expression becomes
Then we can further simplify by moving the into the radical to get two common terms with .
, so we now have
So then we can combine the two radicals to get the expression to
We now see that we have two terms with a common radical, and coefficients of -1, and 48.
That allows us to simplify further to
Here, we can take out , which is , and get the final simplied form to be
Hope this helped.