Answer:
The radius of the balloon is increasing at a rate of 4 feet per minute.
Step-by-step explanation:
We are given the following in the question:
Volume of sphere is given by
where r is the radius of the balloon.
Instant radius, r = 2 ft
Rate of change of volume =
Putting values, we get,
Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.
Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
Answer:
ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Step-by-step explanation:
Here, assume such number = m
Now, given :
3 times the number = 3 x ( m) = 3 m
8 less than the given number = m - 8
Now, according to the question:
3 times the number > 8 less than the given number
or, 3 m > m - 8
or, 3m - m > m - 8 + m
or, 2 m > - 8
or, m > - 4
Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.
Answer:
Step-by-step explanation:
angles in triangle = 180
1. 180 - (70+45) = x = 65
2. x = 35
180 - 110 = 70
70/2 = 35 (isosceles triangle)
3. x = 113, y = 67
180 - (62 + 51) = y = 67
Angles on a line = 180
180 - 67 = x = 113
4. x = 60, y = 50
x = 180 - 120 = 60
y = 180 - (60 + 70) = 50
answers in degrees.
