Answer:
11.2
Step-by-step explanation:
x is the length of a radius of the circle, all radii have the same length.
the chord of length 20 is perpendicular to the segment of length 5, so the segment bisects the chord , so half of the chord is length 10.
The segment of length 10 is one leg of a right triangle while the segment of length 5 is the other leg. The hypotenuse is also a radius of the circle.
The length of the hypotenuse can be found by they Pythagorean Theorem, a^2 + b^2 = c^2, so
5^2 + 10^2 = c^2 or
25 + 100 = c^2 or
c^2 = 125 or
c = = ≈ 11.2
so if one radius is approximately 11.2, then all radii (including the one of length x) are 11.2
P: 90-34/3 = 18.67 or 18.7 or 19
r: 76-44/2 = 16
s: 1421-53/6 = 228
Hope this helps!
Answer:
She's giving you advice at the beginning so as you read along you focus on that and it changes your perspective on the characters, setting, or what's happening in the story.
Step-by-step explanation:
Answer:
a) Height = OC = 13.3cm
b) Perimeter = 48.4cm
Step-by-step explanation:
a) Given:
ODC is a right angle triangle and
ABCD is part of it.
AB = 6 cm
CD = 15 cm
BC = 8 cm
∠BCD = 90 degrees
AB is parallel to DC
Find attached the diagram obtained from the given information.
From the diagram, ∆OAB is similar to ∆ODC.
∠OBA = ∠OCD = 90 degrees
To find the height, we would apply the similar triangles theorem.
The ratio of corresponding sides are equal and the angles are congruent.
OB/BA = OC/CD
OC = OB+BC = OB+8
OB/6 = (OB+8)/15
15OB = 6(OB+8)
15OB = 6OB + 48
9OB = 48
OB = 48/9 = 16/3
OC = 16/3 + 8
OC = 13⅓ cm = 13.3cm
Height = OC = 13.3cm
b) To get perimeter, we have to first determine OD (the hypotenuse of ∆OCD) as it is a right angled triangle
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
OD² = OC² + CD²
OD² = (13⅓)² + 15²
OD² = 1600/9 + 225 = 3625/9
OD = √(3625/9)
OD = 20.1
Perimeter of ∆ODC= OC + CD + OD
= 13.3 + 15 + 20.1
Perimeter = 48.4cm
Okay act like 6:8 is 6/8 you could either simplify the fraction or multiply to make it bigger
3:4 (divide by 2)
12:16 (multiply by 2)
18:24 (multiply by 3)
24:32 (multiply by 4)