Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
Answer:
Acute angle
Step-by-step explanation:
Since it's measure is less than 90 degrees
Answer:
5
The slope of y = 5x - 8 is 5.
Since this equation is already in slope-intercept form the slope of the graph is the coefficient of x, 5.
Step-by-step explanation:
5
The slope of y = 5x - 8 is 5.
Since this equation is already in slope-intercept form the slope of the graph is the coefficient of x, 5.
Answer:
third option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x - 5 ← is in slope- intercept form
with slope m = - 2
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= 
, then
y = x + c ← is the partial equation
To find c substitute (- 1, 1) into the partial equation
1 = - + c ⇒ c = 1 + = 
y = x + ← equation of perpendicular line
Just cross multiply to find 18% of 430
18/100 = x/430
430 X 18 = 7740
7740 = 100x
7740/100 = 77.4
so Melcher took about 77 photos.
