Step-by-step explanation:
● what is the final grade
percentage?
=>94%
In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
Answer:
y = 3x +4
Step-by-step explanation:
The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:
y = 3x + b
10 = 3·2 + b . . . . . . substitute x=2, y=10
4 = b . . . . . . . . . . . . subtract 6
The equation of the line is ...
y = 3x +4
Slope intercept form: y = mx + b
m = slope
b = y-intercept
The line passes through the y-axis at the point (0, -5). So, -5 is the y-intercept.
We can use the points (0, -5) and (5, 0) to solve.
Slope formula: y2-y2/x2-x1
0-(-5)/5-0)
5/5
1
The slope is 1.
Substitute these values into the equation.
y = 1x + (-5)
y = x - 5
Therefore, the answer is [ y = x - 5 ]
Best of Luck!
Answer:
9 students on the committee are males
Step-by-step explanation:
As per the statement:
There are 15 students on a yearbook committee.
⇒Total students on a yearbook committee = 15
⇒
....[1]
It is given that:
40% of the students are females
⇒![\text{Female students} = \frac{40}{100} \cdot 15 = 6](https://tex.z-dn.net/?f=%5Ctext%7BFemale%20students%7D%20%3D%20%5Cfrac%7B40%7D%7B100%7D%20%5Ccdot%2015%20%3D%206)
Substitute in [1] we have;
![\text{Male students} + 6 = 15](https://tex.z-dn.net/?f=%5Ctext%7BMale%20students%7D%20%2B%206%20%3D%2015)
Subtract 6 from both sides we have;
![\text{Male students}= 9](https://tex.z-dn.net/?f=%5Ctext%7BMale%20students%7D%3D%209)
Therefore, 9 students on the committee are males