Here is the five-number summary for a group of 100 runners in a 5-kilometer race. the variable is the time to complete the race.

Answer:

Step-by-step explanation:

a) A diameter is a straight line that bisects a circle through its center. Line AD serves as a diameter.

The radius is half that of the diameter, which means AD/2 = AO or OD

A chord connects two points on the circumference of a circle but does not come through the center; it traverses segments of the circle instead. For instance, line FH is a chord

A tangent touches the circumference of the circle at one specific point and can contact any point along the circle's edge. Examples of tangent lines include AB and DE.

b) It's essential to know that the angles around a point or within a circle total 360°.

<EOH + <ECH = 360°

If <EOH = 131°

then <ECH = 360° - 131°

which results in <ECH = 229°

- <EFH is situated within the circle's circumference. Additionally, the angle at a circle's center is double that of the angle at the circumference. Therefore, since <EOH is at the circle’s center, <EFH = <EOH/2

Thus, <EFH = 131/2

so <EFH = 65.5°

c) Since AB = DE, it follows that <AB = <DE (equal and opposite angles). Given <AOB = 20°, then <DE = 20°

d) According to the illustration, <GFD = <GLD

If <GFD = 126°, then <GLD will likewise be 126°

e) Let HK = x+4, FK = x+14, GK = x, and CK = x+32

From the figure, we have CG = CK + KG

This means CG = x+32+x

leading to CG = 2x+32

Also, FH = FK + HK

So, FH = x+14+x+4

thus FH = 2x+18

The x-axis is nearer to point B. Since the ratio PB:AB = 2/7 is positive, this indicates internal division of the line. We utilize the coordinate formula for a point dividing a line internally. Thus, x = (mx₂ + nx₁)/(m + n) and y = (my₂ + ny₁)/(m + n), where PB/AB = 2/7 translates to n/m, giving n = 2 and m = 7. With point A at (0,0) and point P at (10, -5), we substitute these coordinates to find x and y. The calculations yield coordinates for B at 7⁷/₉ and -3⁸/₉. Therefore, B is -3⁸/₉ units from the x-axis and 7⁷/₉ from the y-axis, confirming that the x-axis is closer to B.

2.8y + 6 + 0.2y = 5y – 14

Start by simplifying the left side:

3y + 6 = 5y - 14

Next, deduct 3y from both sides:

6 = 2y - 14

Add 14 to both sides:

2y = 20

Now, divide by 2:

y = 20 / 2

y = 10

Response:- 0.8/8+x=5/100

Detailed explanation:

B. The correct ratio is sen α = BC/b. Step-by-step explanation: Trigonometric identities are utilized for resolving problems involving right angles. In any right-angled triangle, the side opposite to the angle is known as the opposite side, while the adjacent side runs parallel to the angle, ultimately leading to the longest side, called the hypotenuse.