Answer
x = 18 cm
Step-by-step explanation:
Here, we want to calculate the value of x
let half of x = b
so b is the base of each right-triangle
As we can see, the triangle is isosceles
we can calculate the length of the base of one of the smaller right angled triangle and multiply by 2 to get the full x length
According to Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
15^2 = 12^2 + b^2
225 = 144 + b^2
b^2 = 225-144
b^2 = 81
b = √81
b = 9
but x = 2b
x = 2(9)
x = 18 cm
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Calculating the area of the outer rectangle:</u>
Given
- The length outer rectangle = l = 3x - 1
- The width of outer rectangle = w = 5x + 2
Thus,
The area of the outer rectangle:





<u>Calculating the area of the inner rectangle:</u>
Given
- The length inner rectangle = l = x + 7
- The width of inner rectangle = w = x
Thus,
The area of the outer rectangle:
A = wl
= x(x+7)
= x² + 7
<u>Calculating the area of the shaded region:</u>
As
The area of the outer rectangle = 15x² + x - 2
The area of the inner rectangle = x² + 7
- The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.
Thus,
shaded region Area = Outer Rectangle Area - Inner Rectangle Area
= 15x² + x - 2 - (x² + 7)
= 15x² + x - 2 - x² - 7
= 14x² + x - 9
Therefore, the Area of the shaded region is: 14x² + x - 9
Answer:
The amount which will be in account after 6 years is $ 1120 .
Step-by-step explanation:
Given as :
The principal in the account = $740
The rate of interest = 6.7 % compounded monthly
The time period = 6 years
Let the Amount in the account after 6 years = A
<u>From compound interest method </u>
Amount = Principal × 
Or, A = $ 740 × 
Or, A = $ 740 ×
or, A = $ 740 × 1.5164 = $ 1122.136
Hence The amount which will be in account after 6 years is $ 1120 . Answer
C because the two angles add to 180° making it supplementary