AC = 9 m; BC = 16.16 m; BD = 28.27 m; CD = 12.12 m
<em>Find AC
</em>
AC = AB = 9 m
<em>Find BC</em>
∠BAC = 2π – 10π/7 = (14π – 10π)/7 = 4π/7
BC = <em>θr</em> = 4π/7 × 9 m = 16.16 m
<em>Find BD
</em>
∠BAD = π
BD = <em>θr</em> = π × 9 m = 28.27 m
<em>Find CD</em>
<em>C</em> = 2π<em>r
</em>
CD = <em>C</em> – BC – BD = 2π<em>r</em> – 4π<em>r</em>/7 – π<em>r</em> = (14π<em>r</em> – 4π<em>r</em> – 7π<em>r</em>)/7 = (3π/7)<em>r</em>
= (3π/7) ×9 m = 12.12 m
Answer:
<u>4y = x + 13</u>
Step-by-step explanation:
The general equation of the line y = mx + c
where m is the slope and c is constant represent y-intercept
The line shown in the graph pass through the points (3,4) , (-1,3)
The slope of the line = (y₂-y₁)/(x₂-x₁) = (3-4)/(-1-3) = -1/-4 = 1/4
∴ y = (1/4) x + c
Substitute with the point (3,4) to find c
∴ 4 = (1/4) 3 + c
∴ c = 4 - 3/4 = 13/4
∴ y = (1/4) x + 13/4 ⇒ multiply both sides by 4
∴ 4y = x + 13
So, The equation of the line in the graph: 4y = x + 13
The equation can be written as <u>y = (1/4) x + 13/4 OR 4y - x = 13</u>
1.x=5/3 or just 1.66667
2.84
Answer:
Your answer is x=3
Step-by-step explanation:
So you have the equation 2x+5=11
First, subtract 5 from 5 and from 11.
Then you will cancel out the 5's.
After that, you should have "2x=6"
Now divide 2 from 2x and from 6.
Your answer is x=3
Answer:
<em>The answer is the option A.</em>
Step-by-step explanation:
The Given Expression is
60 and 1/3
20 and 1/3
= (2*2*3*5) 1/3
( 2*2*5) 1/3
<em>= Cancelling 2*2*3 from numerator and denominator</em>
<em>= 3 and 1/3</em>
<em>Factor of 60 and 20 are</em>
<em>60=2*2*3*5</em>
<em>20=2*2*5</em>
Option A