Answer:
h = 1000 / (3.14)(r²)
Step-by-step explanation:
Given in the question,
volume of cylinder = 1000 inches³
Formula to use
V = πr²h
where V = volume
π = 3.14
r = radius
h = height
1000 = (3.14)(r²)(h)
h = 1000 / (3.14)(r²)
Answer:
36π in^2
Step-by-step explanation:
Area of a circle = π(6)^2 = 36π
<h2>⟰ ANSWER ⟰</h2>
<h3>ANS IS IN THE PIC</h3>
<h2> HOPE IT HELPS U!!!!(:</h2>
Answer:
1) B = 66.5° c = 10.9
Step-by-step explanation:
I will do question one as an example. In general, for these questions you want to use the appropriate trigonometric ratios to solve for the variables and/or apply logic using rules regarding triangles. See attached image for all solving steps.
For side c, we can use Cosine of angle A for a ratio between 10 and c. When we write out the equation, we can solve for side c. So when we write it out, we get the equation:
cos23.5 = ¹⁰⁄c
c = ¹⁰⁄cos₂₃.₅
c = 10.9044 (make sure to round to the nearest tenth, which is one decimal place)
For angle B, since they have given two angles, you can solve for B since all angles of a triangle add up to 180 degrees.
So b = 180 - (90 + 23.5) = 180 - 113.5
b = 66.5
- It is also possible to solve this using sine of angle B and solve it from there, but applying the theory this way is much simpler. (this is on the image if you're curious about it)
I hope this helps you with the other 3 questions.
Answer: Choice C) 1/3
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Explanation:
Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3
which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,
rise/run = 1/3