Answer:
Area of the trapezium ABDE = 30 cm²
Step-by-step explanation:
Area of a trapezium = 
Here, 
and 
are the parallel sides of the trapezium
h = Distance between the parallel sides
From the picture attached,
ΔCAE and ΔCBD are the similar triangles.
So by the property of similarity their sides will be proportional.
CE = 
CE = 12 cm
Therefore, DE = CE - CD
DE = 12 - 8 = 4 cm
Now area of trapezium ABDE = 
= 
= 30 cm²
Therefore, area of the trapezium ABDE = 30 cm²
Answer:
31.7 cm²
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = 
absinC
where a, b are the 2 sides given and C the angle between them
∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus
A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )
Answer: $3,400
Step-by-step explanation:
There are 400 seats in the auditorium which means that there are 400 tickets to be sold.
85% of these tickets are sold. The number of tickets sold is:
= 85% * 400
= 340 tickets were sold.
Each ticket sells for a total of $10.
The amount of money made from ticket sales is therefore:
= No. of tickets sold * price of ticket
= 340 * 10
= $3,400
You have ridden 55% of the way.
You have to set up a proportion 44 over 80 is equal to x over 100 (x is what we are trying to find - the percentage you have ridden). Then use cross products and multiply the 44 by 100 to get 4400 and divide that by 80 to get 55. So the answer is 55 so 55%.
55%.
Hope this helps!
Can u plz mark me as brainliest? I really need it!
Answer:
3
Explanation:
Apply Multiplicative Distribution Law:
{x + y =9
{8x + 24y = 120
Reduce the greatest common factor on both sides of the equation.
{x + y = 9
{x + 3y = 15
Subtract the two equations: x + y - (x +3y) = 9 - 15
Remove paranthesis: x + y - x - 3y = 9 - 15
Cancel the unknown variables: y - 3y = 9 - 15
Combine like terms: -2y=9 - 15
Calculate the sum or difference: -2y = -6
Reduce the greatest common factor on both sides of the equation: y =3
Substitute one unknown quantity into the elimination: x + 3 = 9
Rearrange unknown terms to the left side of the equation: x = 9 - 3
Calculate the sum or difference: x = 6
Write the solution set of equations: {x = 6
{y = 3
Substitute: 6 - 3
Calculate the sum or difference: 3
Answer: 3
