<u>7.1 cm long is the arc</u><u> intersected by a central angle .</u>
What is length of an arc?
- The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
- Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.
Given,
Central angle = π / 2
radius = 4.5 cm
we apply formula of length of arc.
length of the arc = angle × radius
= (π/2) × (4.5 cm)
Now put value of π = 3.14
length of the arc = (3.14 / 2) × (4.5) cm
= 7.065 cm ≈ 7.1 cm
Therefore, 7.1 cm long is the arc intersected by a central angle .
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To solve we have to write 12x as 2x+10x
<span><span>x2</span>+2x+10x+20</span>
taking x and 10 as a common
x(x+2)+10(x+2)
now (x+2) is common
<span>(x+2)(x+10) answer</span>
A = {1, 3, 5, 7, 9} B = {2, 4, 6, 8, 10} C = {1, 5, 6, 7, 9} A ∩ (B ∪ C) =
vovikov84 [41]
A = {1, 3, 5, 7, 9}
B = {2, 4, 6, 8, 10}
C = {1, 5, 6, 7, 9}
(B ∪ C) = {1, 2, 4, 5, 6, 7, 8, 9, 10}
so
A ∩ (B ∪ C) = {1, 5, 7 , 9}
Answer:
The picture shows the answer on the graph
Step-by-step explanation:
-2=-3/4×(x-6)
Distribute -3/4 through the parenthesis
-2= -3/4x+9/2
Multiply both sides of the equation by 4
-8=-3x+18
Move the variable to the left side and change its sign
3x-8=18
Move constant to the right side and change its sign
3x=18+8
Add the numbers
3x=26
Divide both sides of the equation by 3
x=26/3
Alternative Form- x=8 2/3 or x=8.6
Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate:
and
y coordinate: 
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
which simplifies down to -6, and
the y coordinate of the directed point is
which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.