Answer:
Step-by-step explanation:
A climbing gym charges $10 to climb each day. A pair of climbing shoes costs $84. It costs $169 to buy 6 days of climbing, one p
1 answer:
You might be interested in
Answer:
angle CAB = 113.8 degree
angle ABC = 35.6 degree
angle BCA = 30.6 degree
Step-by-step explanation:
Given data:
A(1, 0, −1),
B(5, −3, 0),
C(1, 5, 2)
calculate the length of side by using the distance formula
so
AB = (5,-3,0) - (1,0,-1) = (4,-3,1)
AC= (1,5,2) - (1,0,-1) = (0,5,3)
|AB|
|AC| =
From following formula, calculate the angle between the two side i.e Ab and AC
AB.AC = |AB|*|AC| cos ∠CAB
(4,-3,1).(0,5,3)
4*0 -3*5 +1*3
-12 =
cos ∠CAB = - 0.404
angle CAB = 113.8 degree
BA =B- A = (1,0,-1) - (5,-3,0) = (-4,3,-1)
BC = (1,5,2)-(5,-3,0) = (-4,8,2)
|BA| = \sqrt{(26)}
|BC|
BA.BC = |BA|*|BC|* cosABC
(-4,3,-1).(-4,8,2) =
16+24-2
cos ∠ABC = 0.813
angle ABC = 35.6 degree
we know sum of three angle in a traingle is 180 degree hence
sum of all three angle = 180
angle BCA + 35.6 + 113.8 = 180
angle BCA = 30.6 degree
Answer:
speed of James is: 3.75 miles/hour.
Step-by-step explanation:
We need to find the speed of James in miles per hour(mi/hr)
we know that 1 mile=5280 feet
James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.
i.e. he takes 7200 steps in 1 hour.
also each step of James=2.75 feet
total distance covered by James in 1 hour=2.75×7200 feet=19800 feet
hence speed of James= (distance covered by james in 1 hour)/1 hour
speed of James=3.75 miles/hour.
Thanks!!
Mark me brainliest!
~~