Answer: The slope is 1.5. The equation of the line is y=1.5x+3
Step-by-step explanation:
Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.
Answer:
34.48cm²
Step-by-step explanation:
Assuming the shaded area doesn't contain the triangle:
area of triangle = bh/2
area of triangle = 4(2)/2
area = 4
area of circle = πr²
area = π3.5²
area = 38.48
area of shaded = 38.48 - 4
area = 34.48cm²
Answer:
- 2–9 7π/6
- 3–7 2π/3
- 4–6 π/3
- 1–4 π/2
- 5–10 5π/6
Step-by-step explanation:
The angle between numbers on an analog clock is π/6 radians. So, the angles of interest are ...
2 to 9 : seven numbers : 7π/6 radians
3 to 7 : four numbers : 4π/6 = 2π/3 radians
4 to 6 : two numbers : 2π/6 = π/3 radians
1 to 4 : three numbers : 3π/6 = π/2 radians
5 to 10 : five numbers : 5π/6 radians
Answer: h = 17
Step-by-step explanation: As a general rule, if an equation has any fractions in it, try to get rid of those fractions as soon as possible.
The quickest way to get rid of a fraction is to multiply both
sides of the equation by the denominator of the fraction.
So in this problem, we can get rid of the fraction in our
first step by multiplying both sides of the equation by 4.
On the left, the 4's cancel and on the right, 1(4) is 4.
Now we have h - 13 = 4.
Since 13 is being subtracted from <em>h</em>, to get <em>h</em> by itself,
we need to add 13 to both sides of the equation to get h = 17.
Now, we can check our answer by plugging 17 back
into the original equation shown below in italics.
Answer:
5:05
6
10
Step-by-step explanation:
3:30 + 1 hour = 4:30
4:30 + 35 mins = 5:05 pm
5 days per 1 gallon, 30 days for :
30/5 = 6
500/50 = 10
