Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
Answer:
boys = 705
girls = 783
Step-by-step explanation:
We are to find the number of boys and girls in the school
the answer can be determined using simultaneous equation
x = boys
y = girls
y - x = 78 equation 1
y + x = 1488 equation 2
subtract equation 1 from 2
2x = 1410
x = 1410/2 = 705
Substitute for x in equation 1
y - 705 = 78
y = 705 + 78 = 783
Answer:
Given - A rectangle of length 18 feet and wide 14 feet
To find - Area
Solution -
Area of rectangle = Length * Breadth
=
square feet
This is a right angle triangle
So we can use the tangent
tan x = 5/20
tan x= 0.25
x=tan^-1 (0.25)
x= 14.04 degrees
So yes you're correct
