A diagram must be associated with the question above. Based on what I researched, this is what I got.
The blue sector of the circle is 120 degrees.
area of the blue sector = 1/3 of pi * 2^2
= 4.19cm2
I hope this answer helps.
Option A
The centripetal acceleration is 1.32 
<em><u>Solution:</u></em>
From given question,
A cyclist rides in a circle with speed 5 m/s
The circle has a radius of 19 m
To find: Centripetal acceleration
<em><u>The formula for Centripetal acceleration is given as:</u></em>
Where,
= centripetal acceleration
r is the radius and v is the velocity
From given statement,
radius = r = 19 m
velocity = v = 5 m/s
<em><u>Substituting the values in above formula, we get</u></em>
Thus centripetal acceleration is 1.32
The dimensions of the rectangles to the nearest hundredth are
- length = 13.56 inches
- width = 3.39 inches
<h3>What is a rectangle?</h3>
A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.
<u>Given data</u>
Area of the rectangle = 46 square inches
length L = 4 * width W
area of a rectangle, A
A = L * W
46 = L * W
46 = 4w * w
46 = 4w^2
w^2 = 11.5
w = sqrt ( 11.5 )
w = 3.391 inches
w = 3.39 to the nearest hundredth
since L = 4w
L = 4 * 3.391
L = 13.564
L = 13.56 to the nearest hundredth
Read more on areas of rectangles here: brainly.com/question/2607596
#SPJ1
DE is 31 units, EF is 31 units and DF is 62 units
Step-by-step explanation:
A mid-point of a line segment
- Divides it into two congruent parts
- The length of each part is half the length of the line segment
∵ E is the mid-point of segment DF
- That means E divides DF into two parts DE and EF and the
lengths of them are equal
∴ DE ≅ EF
∵ DE = 6x + 1
∵ EF = 7x - 4
- Equate them
∴ 6x + 1 = 7x - 4
- Add 4 to both sides
∴ 6x + 5 = 7x
- Subtract 6x from both sides
∴ 5 = x
Substitute the value of x in DE and EF to find their length
∵ DE = 6(5) + 1
∵ DE = 30 + 1
∴ DE = 31 units
∵ EF = 7(5) - 4
∴ EF = 35 - 4
∴ EF = 31 units
∵ DF = DE + EF
∴ DF = 31 + 31
∴ DF = 62 units
DE is 31 units, EF is 31 units and DF is 62 units
Learn more:
You can learn more about the mid-point in brainly.com/question/10480770
#LearnwithBrainly
To solve this problem, you set up the equation 45+(2x-5)=180
Next, subtract 45 from 180 to get the equation 2x-5=135
After that, add 5 to 135 to get 2x=140
Diviode 140 by 2 to get X=70
