Answer:
A = 25√3 cm²
Step-by-step explanation:
View 5√3 cm as being the height of an equilateral triangle whose base is at the bottom of the purple figure. To find the area of one such triangle, we use the area-of-a-triangle formula A = (1/2)(b)(h).
opp
Using the sine function sin Ф = --------
hyp
we find the length of the hypotenuse, which is also the radius of the octagon, and because this is an equilateral triangle, is also the length of the base:
√3 5√3 cm
sin 60° = -------- = ------------- , which produces the value of hyp:
2 hyp
√3 5√3 cm
-------- = ------------- , which produces the value of hyp:
2 hyp
√3·hyp = 10√3, or hyp = 10 cm
Then the area of this one triangle is A = (1/2)(b)(h), or
A = (1/2) (10 cm)(5√3 cm) = 25√3 cm²
Answer:
Step-by-step explanation:
Perpendicular lines have negative-reciprocal slopes.
The line contains point P(4, 8)
<u>Point slope form:</u>
<u>Given line:</u>
The slope of the perpendicular line is m = -1/4.
<u>The line in point-slope form is:</u>
Answer:
26, 27, 28, 29
Step-by-step explanation:
Let the first integer be x.
Then, (x)+(x+1)+(x+2)+(x+3) = 110
=> x+x+1+x+2+x+3 = 110
=> 4x+6 = 110
=> 4x = 110-6
=> 4x = 104
=> x = 104/4
=> x = 26
So, the four consecutive integers are:
1. x = 26
2. x+1 = 26+1 = 27
3. x+2 = 26+2 = 28
4. x+3 = 26+3 = 29
First you would subtract Minas friends mile time from Minas mile time.
11.02-9.4
Mina is 1.62 minutes faster than her friend
