C
B
your welcome i took test sorry if wrong
Answer:
£495 million
Step-by-step explanation:
To find out the total cost of the land, we need to first calculate the area of the land.
Step 1: Find area of right angled triangle ADC
AD = 5 km,
DC = 12 km
Area of the right triangle = ½*a*b
a = 5km
b = 12km
Area = ½*5*12
= 5*6
Area of ADC = 30 km²
Step 2: Find the area of triangle ABC
First, let's find the length of AC using Pythagorean theorem
AC² = AD² + DC²
AC² = 5² + 12² = 25 + 144
AC = √169
AC = 13km
Area of ∆ABC = ½*AB*AC*sin(30°)
= ½*6*13*0.5
= 3*13*0.5
Area of ∆ABC = 19.5 km²
Total area of the land = area of ∆ADC + ∆ABC = 30 + 19.5 = 49.5 km²
Step 3: calculate how much the land costs
If the land costs £10 million per km²,
Cost of 49.5 km² = 49.5 × 10 = £495 million
Quotient refers to division:
(8/v)² ⇒ (8/v)(8/v) = 8*8 / v*v = 64/v²
When you raise a fraction to a power, you multiply the fraction by itself according to the power raised.
Then, do the usual steps of multiplying fractions.
1) multiply numerators.
2) multiply denominators
3) simplify fraction produced.
Using Pythagorean identities:
If the sum of the height and base squared is greater than the hypotenuse squared, it would be an acute triangle.
If the sum of the height and base squared is less than the hypotenuse squared, it would be an obtuse triangle.
If the sum of the height and base squared is equal to the hypotenuse squared, it would be a right triangle.
The height = 10
The base = 24
10^2 + 24^2 = 100 + 576 = 676
The hypotenuse = 27 = 27^2 = 729
Because the sum of the height and base squared (676) is smaller than the hypotenuse squared (729) the triangle is an obtuse triangle.
