Answer:
D.(2,-1,-1)
Step-by-step explanation:
-a+4b+2c=-8
3a+b-4c=9
b = -1
Substitute b=-1 into the other equations
-a -4 +2c = -8
3a -1 -4c =9
Multiply the first equation by 2 so we can eliminate c
-2a -8 +4c = -16
Add this to the second equation
-2a -8 +4c = -16
3a -1 -4c =9
-----------------
a -9 = -7
Add 9 to each side
a-9+9 = -7+9
a =2
b=-1
Now we need to find c
-a +4b +2c = -8
-2 -4 +2c = -8
-6+2c = -8
Add 6 to each side
-6+6 +2c = -8+6
2c = -2
Divide by 2
2c/2 = -2/2
c=-1
(2,-1,-1)
M < 3 + m<4 = 180 degrees (adjacent angles)
m<4 = 180 - 77 = 103 degrees Answer
The volume of a rectangular prism is given by:
V = (w) * (l) * (h)
Where,
w: width
l: length
h: height
Substituting values we have:
1472 = (20) * (36.8) * (h)
Clearing h we have:
h = (1472) / ((20) * (36.8))
h = 2 m
Answer:
the water in the pool is 2m deep
The question is incomplete, here is the complete question:
Given a radius of 9 inches intercepted by the central angle 60°. Estimate the length of arc 'S' to the nearest hundredth.
<u>Answer:</u> The arc length of the circle is 9.42 inches
<u>Step-by-step explanation:</u>
To calculate the length of the arc, we use the formula:
where,
S = arc length = ?
r = radius of the circle = 9 inches
= central angle = 60°
Putting values in above equation, we get:
Hence, the arc length of the circle is 9.42 inches
Answer:
None of them are whole numbers. Whole numbers are numbers that don’t need fraction bars or decimals or roots.
