Answer:
12.25.
Step-by-step explanation:
1) the formula of the volume given in the condition is:
V=2*2/7*10x.
2) If V=70, then
2*2/7*10x=70, where x=12.25.
Answer:
$140
Step-by-step explanation:
10 is 1/3 of x.
10=1/3x
x=30
x is 1/5 of y
30=1/5y
150=y
y-10=z
150-10=z
z=140
Answer:
b=18
Step-by-step explanation:
1/3b -3=3
1/3b-3+3=3+3
1/3b= 6
isolate b
1/3 *3 b= 6 *3
b=18
Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) <em>Two lines that have the same y-intercept and the same slope intersect at exactly one point. </em>
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) <em>Two lines that have the same y-intercept intersect at exactly one point. </em>
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) <em>Two lines that have the same slope do not intersect at any point. </em>
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) <em>Two lines that have two different slopes intersects at exactly one point.</em>
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
