Call the point of intersection of the diagonals point X.
Each base is the hypotenuse of an isosceles right triangle whose sides are the diagonals and whose 90° angle is at X. The altitude of that triangle (⊥ distance to the base from X) is half the length of the hypotenuse. Then the height of the trapezoid is half the sum of the base lengths.
The area of the trapezoid is the product of the height and half the sum of the base lengths, hence is the square of half the sum of the base lengths.
... Area = ((16 cm +30 cm)/2)² = (23 cm)² = 529 cm²
Answer:
L=80
W=20
Step-by-step explanation:
Perimeter = 2×L+2×w
L=w+60
Perimeter - 2×60 = 4×w
200-120 = 80
80/4= w = 20
L=w+60 = 80
Answer:
Step-by-step explanation:
Let
x ----> the height of the top of a mountain above sea level
y ----> the deep of a shipwreck below the sea level
we know that
The sea level represent the height equal to zero
In this problem we have
---> is positive because is above sea level
---> is negative because is below sea level
To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values
substitute the values
Answer:
B
Step-by-step explanation:
Note:
1 gal = 4 quarts
1 pint = 0.5 quart
Re-writing all the choices in dollars and quarts and calculating how much each quart costs
A) $1 per 1 quart
B) $2 per gallon = $2 per 4 quarts = $2 ÷ 4 quarts = $0.50 per quart
C) $1.50 per 2 quarts = $1.50 ÷ 2 quarts = $0.75 per quart
D) $0.50 per 1 pint = $0.50 per 0.5 quart = $0.50 ÷ 0.5 quart = $1 per quart
If you compare all of the above, it is clear that answer B ($0.50 per quart) is the cheapest rate and hence the best deal.
Answer:
Time in seconds when the ball is 4 feet above the ground is:
t= 0.6 and 2.9.
