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:
16.51
Step-by-step explanation:
In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.
The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:
39 + 39 + x + x = 360
78 + 2x = 360
2x = 282
x = 141
This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.
Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:
Thus the shorter diagonal will be 16.51 feet in measure.
Answer:
i) 4x
ii) Father's age = 3(x + 10)
Son's age = x + 10
iii) 4x + 10 = 3(x + 10)
iv) Present age of the son = x = 20
Present age of the father = 4x = 4(20)
= 80
Step-by-step explanation:
Present age of the son = x
Present age of the father = 4x
Age of the son in 10 years = x + 10
Age of the father in 10 years = 3(x + 10)
4x + 10 = 3(x + 10)
4x + 10 = 3x + 30
4x - 3x = 30 - 10
x = 20
Step-by-step explanation:
spring water is 2.08/16= 13 cents per ounce
fresh water is 2.40/20= 12.5 cents per ounce
fresh water is .5 cents per ounce less expensive
The measure of the space a solid figure occupies is called volume