-3/5x + 1/5 > 7/20
-3x + 1/5 > 7/20 join the denominators
-3x + 1 > 7/20 * 5 multiply both sides by 5
-3x + 1 > 35/20
-3x + 1 > 7/4
-3x > 7/4 - 1
-3x > 3/4
x < -3/4 ÷ 3
x < -1/4
hope that helps, God bless!
So the base in your question or problem it ask to find the minimum speed that the roller coaster must have to let the passenger don not fall out when travelling upside down and the circle has a radius of 7.6 m. So based on the diagram, the total force must equal the mass of the roller coaster times the quotient of Velocity and the square of the radius of the circle and with that itself, the minimum speed of the coaster must greater than zero
Answer:
D
Step-by-step explanation:
slope =4, y intercept = -6
sorry I currently don't have enough time to explain the calculation
Answer:
a. 15h + 40 ≤ 140
b. h ≤ 6.6
<em>Note: The question is missing a table. The table is shown in the attachment below.</em>
Step-by-step explanation:
a. The school group has $140 to spend, and so can only spend an amount less than or equal to $140 when renting the main hall.
The cost of renting the main includes an hourly rate of $15 and a set-up fee of $40.
Let h represent the number of hours the group can rent the hall.
Cost of renting the main hall, C is given by:
15h + 40 ≤ 140
b. Solution of the inequality:
15h + 40 ≤ 140
15h ≤ 140 - 40
15h ≤ 100
h ≤ 100/15
h ≤ 6.6
Therefore, the main hall can only be rented for a maximum of 6.6 hours or less
First, we need to find the radius from the circle with the area 100pi.
The formula for area of a circle is pi*r^2
pi*r^2= 100pi
We can eliminate the both pi since they are on both sides of the equation. This means r^2=100, and r= the square root of 100, which is 10.
Now we know the radius is 10, we can plug it into the equation for arc sector area- (n is the central angle, replace n with the central angle)
n/360 * 2*pi*r
n/360 * 2*pi*10
n/360 * 20pi
Hope this helps a bit
