Answer:
5. 50.3 m²
6. 113.1 cm²
7. 102.1 yards²
8. 50.3 yards²
9. 452.2 ft²
10.379.8 ft²
Step-by-step explanation:
Area of a circle = nr²
The circumference of a circle = 2nr
n = pi = 22/7
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = diameter / 2
5. (22/7) x 4² = 50.3 m²
6. (22/7) x 6² =113.1 cm²
7. radius = 11.4/2 = 5.7 yards
(22/7) x 5.7² =102.1 yards²
8. radius = 8/2 = 4 yards
(22/7) x 4² = 50.3 yards²
9. 2nr = 75.4 yards
2 x (22/7) x r = 75.4
to find r, divide both sides of the equation by 2 and 7/22
r = 12 ft
Area = (22/7) x 12² = 452.2 ft²
10. 2nr = 69.1 yards
2 x (22/7) x r = 69.1
to find r, divide both sides of the equation by 2 and 7/22
r = 10.99 ft²
Area = (22/7) x 10.99² = 379.8 ft²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
The store employee works 35 hours per week. Which inequality can be used to find the dollar value, x, of weekly sales that the employee must make to earn more than $400 per week?
Answer:
See below
Step-by-step explanation:
<h3>Continuation of the question</h3>
<u>Data in the table:</u>
<u>PH 4 5 6 7 8 9 10 11 </u>
<u>Bacteria 116 120 131 136 141 151 148 163</u>
- <em>Create a scatter plot to represent the data: Based on the data and your scatter plot, what do you think a good linear function would be to represent the data?</em>
<h3>Solution</h3>
<em>See attached for scatter plot</em>
We can see the chart is close to linear function. Let's build one based on data in the table
<u>The line will be in the form of:</u>
<u>If we use two points and get the equation</u>
<u>Finding the slope:</u>
- m = (141-116)/(8-4) = 25/4 = 6.25
<u>Then, finding y-intercept:</u>
- 116 = 6.25*4 + b
- b = 116 - 25 = 91
<u>So the line is:</u>
<em>Note: This is approximate best fit graph and it is attached as well. Exact formula for the line is built by using different method and is very close to the one above</em>
Answer:
2m+3mn-5
Step-by-step explanation:
2m+n x 3m + (-5)
2m +3mn + (-5)
2m +3mn -5
Answer:
C. The domain is (-1,+∞), and the range is all real numbers.
Step-by-step explanation:
The domain is (-1,+∞) because the expression ln(x+1) exists only if x>-1
and the range is all real numbers.
check the attached picture for the graph.