Answer:
y=-6x+8
Step-by-step explanation:
8 is the miles she has she runs 6 miles so she has 2 miles left that's why when we put it in slope intercept forms it's going to be
y=-6x+8
Answer:
k= 1/5
Step-by-step explanation:
x is proportional to y
x = ky (k is const.)
k = x/y
k= 5/25
k = 1/5
Answer:
y = 97°
Explanation:
Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°
So following the rule:
A + C = 180°
y + 83° = 180°
y = 180° - 83°
y = 97°
Answer:
The tip of the minute hand travels 20.9 inches.
Step-by-step explanation:
We are given that the minute hand of a clock is 8 inches long. And we have to find that how far does the tip of the minute hand travel as the time progresses from 12:00 to 12:25.
<u>So, firstly we will find the circumference of circle;</u>
Circumference of circle (C) =
{where r is radius of circle}
=
{given r = 8 inches long}
=
Now, as we know that the minute hands completes the full circle in 60 minutes, therefore, the length of the arc between time 12:00 to 12:25 represents
which is
of the circumference, that means;
The length of arc from time 12:00 to 12:25 =
=
=
= 6.67
Now, assuming value of
= 3.14; so 6.67
=
= 20.9 inches (in nearest tenth)
Hence, the tip of the minute hand travels 20.9 inches.
Answer:
After 5 months the cost of the two phones and monthly service be the same.
Step-by-step explanation:
1st service cost = $50 + $40x, where "x" represents the number of months
2nd service cost = $50x
Now we have to find the number of months the cost of the two phones and monthly service be the same.
Now we have to equivate and find the value of x.
50x = 50 + 40x
Subtracting 40x from both sides, we get
50x - 40x = 50 + 40x - 40x
10x = 50
Dividing both sides by 10, we get
x = 50/10
x = 5
After 5 months the cost of the two phones and monthly service be the same.
Hope you will understand the concept.
Thank you.