Although I am not clear as to whether the radius is r—1 or otherwise, but if i work with the values i see then:
Volume — T. S. A.
= πr²h — (2πr²+2πrh)
So after the simplification, I substitute the values given,
r= r—1 and h=h—1
And the answer is...
π(r—1)(rh—3r—3h+5)!
For something to be a function there can only be one x value for every y value (meaning x can’t repeat). To see if the graphs are functions you need to perform the vertical line test. This is where you scan an imaginary line across the graph and if the line passes through two points at the same time, that graph is not a function. This would mean that for the graphs, only graph B is a function. For the mapping part, if an x value has more than two lines attached to it, it’s not a function. This means that mapping A is a function because it only had one line for every x value whereas mapping B had x value 5 with two lines instead of one. For the table, it’s a function if the x value isn’t repeated. This means that table B is a function because no x value repeats whereas in table A the x value 2 repeats twice. That leaves graph A, mapping B, and table A as ‘not a function’. Hope this helped.
The shape formed by the three is a right triangle because the angle formed at Rachael's position is 90°.
The known values are 90°, 55° and 45 ft.
Since the sum of all angles in a triangle is 180 degrees, we can easily solve for the angle formed by Jamie: 180°-90°-55° = 35°.
For the distance between Jamie and Lance (JL): cos 55° = 45/JL
JL = 78.455 feet.
For the distance between Jamie and Rachael (JR): tan 35° = 45/JR
JR = 64.267 feet.
Answer:
3/4
Step-by-step explanation:
The slope of the line can be found by
m = (y2-y1)/(x2-x1)
= (-6- - 9)/(6-2)
= (-6+9)/(6-2)
3/4
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
- If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.
- If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integer
- If s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.
As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
