Answer:
d = Sqrt 41 = 6.4
Step-by-step explanation:
d = sqrt [(x-x)^2 + (y-y)^2]
d = sqrt [(-7 - - 2)^2 + (7-3)^2]
d = sqrt[(-7+2)^2 + (4)^2]
d = sqrt [(-5)^2 + (4)^2]
d= sqrt (25 + 16)
d = sqrt 41 = 6.4
Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Answer:
The slope is -1/8 and the y intercept is 7/6
Step-by-step explanation:
This equation is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/8 x + 7/6
The slope is -1/8 and the y intercept is 7/6
Answer:
4
Step-by-step explanation:
65 >41+5x
24 >5x
4=x
41+4=45
Cameron can use 4 gigabytes and still be within his budget
Y=250+2x is the amount she spends
y=12x is the amount she makes
If the amount she spent = the amount she makes then she break even
250+2x=12x
250=12x-2x
250=10x
So x = 250/10=25 necklaces she needs to sell to break even
Answer is 25 necklaces