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
The straight line distance from the starting point is 41 miles.
<u>Explanation:</u>
Given:
Distance covered towards north, n = 9 miles
Distance covered towards east, e = 40 miles
Distance from the origin to the end, x = ?
If we imagine this, then the route forms a right angle triangle
where,
n is the height
e is the base
x is the hypotenuse
Using pythagoras theorm:
(x)² = (n)² + (e)²
(x)² = (9)² + (40)²
(x)² = 1681
x = 41 miles
Therefore, the straight line distance from the starting point is 41 miles.
Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.
Step-by-step explanation:
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)
Group terms that contain the same variable
(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y
0-2xy^{5}+3x^{4}y
-2xy^{5}+3x^{4}y
The sum is a binomial ( two terms) with a degree of 6
-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
