Given b=4 and ∠β=20°,
a = 10.98991
c = 11.69522
∠α = 70° = 1.22173 rad = 7/18π
h = 3.75877
area = 21.97982
perimeter = 26.68513
inradius = 1.64735
circumradius = 5.84761
a
b
c
Calculation Steps
The following is one way to perform the calculation. It may not be the best way.
c =
b
sin(β)
= 11.69522
a = √c2 - b2
= √11.6952176006522 - 42
= √120.77811472661
= 10.98991
∠α = 90° - ∠β
= 70° = 1.22173 rad = 7/18π
area =
a × b
2
=
10.989909677818 × 4
2
= 21.97982
perimeter = a + b + c
= 10.989909677818 + 4 + 11.695217600652
= 26.68513
inradius =
a × b
a + b + c
=
43.959638711274
26.685127278471
= 1.64735
circumradius =
c
2
=
11.695217600652
2
= 5.84761
- ror
she would have 1/8 bricks left, hope this helps
The correct statement are the first and the second
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The first statement:
y = (-2/3) x - (13/3)
slope = -2/3 and passing through (4,-7) because (-2/3) *4 - (13/3) = -7
the slope of the parallel line = -4/6 = -2/3
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The second statement
y = (-7/2) x - (5/2)
slope = -7/2 and passing through (-3,8) because (-7/2) *-3 - (5/2) = 8
the slope of the perpendicular line = 2/7
the multiplication of the two slopes = -7/2 * 2/7 = -1
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The third is false
because the lines are parallel not perpendicular
the fourth is false
because the lines are perpendicular not parallel
Answer:
The correct option is a) 
: m ≤ 30, 
: m > 30
Step-by-step explanation:
Consider the provided information.
A pizza shop advertises that they deliver in 30 minutes or less or it is free.
People who live in homes that are located on the opposite side of town believe it will take the pizza shop longer than 30 minutes to make and deliver the pizza.
: Pizza shop makes and delivers the pizza ≤ 30 minutes.
: Pizza shop makes and delivers the pizza m > 30 minutes.
Hence, the correct option is a) : m ≤ 30, : m > 30
