Given:
In the given triangle,
With respect to 30°, the perpendicular = 9, the base = x and the hypotenuse = y
To find the value of x and y.
Formula
By Trigonometric ratio we get,
and
Now,
Putting, perpendicular = 9 and we get,
or,
or, [ by cross multiplication]
Again,
or,
or, [ by cross multiplication]
Hence,
The value of x and y is 9√3 unit and 18 unit respectively.
Answer:
a and c
Step-by-step explanation:
The volume (V) of a cuboid is
V = lwh ( l is length, w is width, h is height )
The volume is given as 210 cm³
Check each of the dimensions given to determine which give the correct volume
a
V = 15 × 2 × 7 = 210 ← correct volume
b
V = 14 × 3 × 7 = 294 ← incorrect volume
c
V = 7 × 3 × 10 = 210 ← correct volume
Hence a and c could be the dimensions of the box
Find the area of each shape and add.Let's start with the first semi-circle(half-circle)
If the area of a circle is πr² , then the area of a semi-circle is 1/2πr² where is 22/7 or 3.14, and r is the radius which is 1.8 meters
A=1/2πr²
A=1/2*22/7*1.8*1.8
A=5.09 m²(rounded to nearest hundredth)
Since the semi-circles are two and have the same radius, multiply the area of the first one by two or go through the same process again.
So 5.09 *2=10.18meters square is the area of the two semi-circles
Now, let's find the area of a rectangle which is length times width, where length is 6 meters and width is (1.8+1.8, because 1.8 is half the width)=3.6 meters
A=l*w
A=6*3.6
A=21.6meters square
Therefore the area of the shape is 10.18m²+21.6m²=219.888m²
Repeated sequences of numbers
(4)