Step-by-step explanation:
every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.
therefore,
angle XVY = 90°.
for VY we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).
XY = 2×ZY = 2×17 = 34.
so,
34² = 30² + VY²
VY² = 34² - 30² = 1156 - 900 = 256
VY = 16
Answer:
Area of rectangle = 225/2 or 112.5
Step-by-step explanation:
Given,
Consider a rectangle ABCD.
Let AC be a diagonal of rectangle of length = 15
In triangle ABC.
Sin 45° =height/hypotenuse {SinФ = height / hypotenuse}
Here, hypotenuse = diagonal of rectangle ( i.e AC = 15)
And height is AB
Therefore, sin 45° = AB/AC
or sin 45° = AB / 15
or 1/√2 = AB /15
AB = 15/√2
Similarly we can find Base (i.e BC) using cosine.
Cos 45° = Base/Hypotenuse
Cos 45° = BC / AC
or 1/√2 = BC/15
BC = 15/√2
Hence we got length of rectangle , AB= 15/√2
And width of rectangle , BC = 15/√2
Therefore, area of rectangle = Length × Width
Area of rectangle = 15/√2 × 15/√2 = 225/2
Hence, area of rectangle = 225/2 = 112.5
one or more functions ? i think lol
Answer:
1.
a) 5cm
b) 16cm
c) 25cm
d) 124cm
2.
a) 4m
b) 6m
c) 10m
d) 26m
3.
a) 2km
b) 4km
c) 11km
d) 28km
Step-by-step explanation:
When you have a number and it tells you to round it to the nearest cm (m, km etc.), it means you just have to make it a whole number (integer) instead of a decimal by rounding it up or down.
To tell whether you round up or down, you look at the number after the decimal place and if it is under 5, you round down but if it is 5-9 you round up.
For example,
If we had 20.3 (not one of the questions) you would round it down to 20 because the 3 after the decimal place is smaller than 5.
However, if we had 24.7 you would have to round it up because the 7 is from 5-9.
Hope this helps :)
