Answer:
33 and 19
Step-by-step explanation:
there are 33 numbers between one and one hundred divisible by 3 and 19 numbers divisible by 5
Answer:
8π inches or approximately 25.12 inches
Step-by-step explanation:
What's the circumference of a circle?
❖ The circumference of a circle is the distance around a circle.
How do we find the circumference of a circle?
❖ The formula to find the circumference of a circle is 2πr, where r =
radius. We can solve in terms of pi, or approximate pi to 3.14
<u>Solving</u>
- <u></u>
- 8π inches
<u>or</u>
- <u />
- 25.12 inches
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
Answer:
rational
Step-by-step explanation:
Answer:
x=56 and the exterior angle is 116
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +4) form a straight line so they make 180 degrees.
y + 2x+4 =180
Solve for y by subtracting 2x+4 from each side.
y + 2x+4 - (2x+4) =180 - (2x+4)
y = 180-2x-4
y = 176-2x
The three angles of a triangle add to 180 degrees
x+ y+ 60 = 180
x+ (176-2x)+60 = 180
Combine like terms
-x +236=180
Subtract 236 from each side
-x+236-236 = 180-236
-x = -56
Multiply each side by -1
-1*-x = -56*-1
x=56
The exterior angle is 2x+4. Substitute x=56 into the equation.
2(56)+4
112+4
116