Answer: a) = 10
b) = 16
Step-by-step explanation:
a) as x = 5 so putting the value of x in given equation
5 multiplied by 2 is equal to 10
b) Putting value of x in given equation
= (5 + 3) 2
According to BODMAS solve the brackets first
= 8 x 2
= 16
Answer:
132 ft2
Step-by-step explanation:
The area of the rectangle is A=LxW
A= 9 x 11
Area of the rectangle is 99 ft2
To find the height of the triangle, subtract the width of the rectangle from the total height.
15-9= 6
The area of the triangle is A= 1/2 bh
A= 1/2 (11)(6)
Area of the triangle is 33 ft2
The total area is 99 + 33, which is 132 ft2
It's not valid because there are too many unknown quantities, meaning there is not exactly one triangle that could exist for any given SSA combination.
For a visual example, see the attached image below.
It's fairly obvious that 
. One is acute, the other is obtuse. In the triangle on the right, the dashed side has the same length 
as in the triangle on the left. This dashed side and the actual side form an isosceles triangle with congruent base angles 
. The angles 
and are supplementary (they add to 180 degrees), or 
.
Now by the law of sines, in the first triangle,
and that in the second triangle,
but we also know that 
. Hence 
.
Two different angles in this arrangement allow for two different triangles to be constructed, so having a SSA correspondence between two triangles is not enough evidence for their congruence.
Divide the estimated number by the exact number and multiple by 100
Let the length of the 2 equal pieces be x m. Then the length of the third piece = 0.25x m.
So we have the equation:-
2x + 0.25x = 54
x = 54 / 2.25 = 24
So the length of the 3 pieces are 24,24 and 6 meters.
