A common denominator for 1/4 and 5/6...
1/4 = 3/12
5/6 = 10/12
the common denominator (LCM) would be 12
Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125
The equation of line is y = 92x – 182631. The slope is 92 and the y-intercept is the negative 182631. And the health expenditure in 2010 will be 2289.
<h3>What is the equation of a line passing through two points?</h3>
Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
![\rm (y - y_1) = \left [ \dfrac{y_2 - y_1}{x_2 - x_1} \right ] (x -x_1)](https://tex.z-dn.net/?f=%5Crm%20%28y%20-%20y_1%29%20%3D%20%5Cleft%20%5B%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20%5Cright%20%5D%20%28x%20-x_1%29)
In MODE, (second line), fix the number of decimal places to be 2.
Then the slope and the y-intercept values of the Lin Reg line will round to the nearest hundredth.
(x₁, y₁) → (1997, 1093)
(x₂, y₂) → (2002, 1553)
Then we have
y – 1093 = [(1553 – 1093) / (2002 – 1997)] (x – 1997)
y – 1093 = [460 / 5] (x – 1997)
y – 1093 = 92 (x – 1997)
y = 92x – 182631
If x = 2010, then the value of y will be
y = 92 × 2010 – 182631
y = 184920 – 192631
y = 2289
Learn more about straight-line equations here:
brainly.com/question/380976
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Answer:
13 trails
Step-by-step explanation:
The histogram shows following numbers of trails:
- <u>0 - 6 km long</u> - 5 trails;
- 6 - 12 km long - 9 trails;
- 12 - 18 km long - 7 trails;
- 18 - 24 km long - 3 trails;
- <u>24 - 30 km long</u> - 4 trails;
- <u>30 - 36 km long</u> - 1 trail;
- <u>36 - 42 km long</u> - 3 trails.
So, there are 5 trails with length less than 6 km and 4 + 1 + 3 = 8 trails that are at least 24 km long.
In total, 5 + 8 = 13 trails
Answer:
Area = 112cm^2
Step-by-step explanation:
Area = (a + b)*h / 2
M = (a + b) / 2
14 = (a + b) /
2*14 = a + b
28 = a + b
Area = 28*8 / 2
Area = 112 cm^2
