Answer:
D
Step-by-step explanation:
The area of a circle can be found using:
a=πr^2
We know that the radius is 10 meters. Therefore, we can substitute 10 in for r.
a=π*10^2
Evaluate the exponent
a=π*100
Multiply pi and 100
a=314.159265359
Round to the nearest tenth: there is a 5 in the hundreth place, which indicates we round up the 1 in the tenths place to a 2.
a=314.2
The area is 314.2 square meters, or choice D
Answer:
5.5
Step-by-step explanation:
y = 0.5x + 5
Use the slope-intercept form to find the slope and y-intercept.
Slope: 0.5
y-intercept: 5
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding values.
To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y.
y = 0.5(0) + 5
y = 5
To graph the y intercept using the equation of the line, plug in 1 for the x variable and solve for y.
y = 0.5(1) + 5
y = 5.5
Which means when x is 0, y intercept at 5 and when x is 1 y intercept at 5.5. Graph the line using the slope and the y-intercept, or the points.
This tells us, in practical terms, that, for every one unit that the x-variable increases (that is, moves over to the right), the y-variable increases (that is, goes up) by 50% of a unit.
Answer:
x = 30
Step-by-step explanation:
The triangle BAC has two known measurements 30 and 90 so add those together and subtract by 180
30 + 90 = 120
180 - 120 = 60°
First, you must distribute the negative sign(otherwise considered a negative one). This gives you x - 4x + 7 = 5x - x - 21.
Then, simplify any like terms you can: -3x + 7 = 4x - 21.
Simplify this even further: 28 = 7x
The final answer is x = 4
