The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersec
tion of the diagonals to the longer side divides this longer side into two segments: 33cm and 12cm. What is the area of the parallelogram?
1 answer:
By definition, a parallelogram is merely a quadrilateral. Its key characteristics are having two sets of parallel sides. Consequently, it would have two sets of equal lengths, denoted as a and b. A perpendicular bisector is the red line in the picture that bisects length b into two lengths while creating a right angle. The area of a parallelogram is
A = bh, where
b is the side that meets with h
h is the perpendicular height of the parallelogram
Since h is not known, we have to solve it first through applying the pythagorean theorem.
h = √29^2 - 12^2 = 26.4 m
Thus,
A = (12 cm + 33 cm)(26.4 cm)
A = 1,188 square centimeters
A = bh, where
b is the side that meets with h
h is the perpendicular height of the parallelogram
Since h is not known, we have to solve it first through applying the pythagorean theorem.
h = √29^2 - 12^2 = 26.4 m
Thus,
A = (12 cm + 33 cm)(26.4 cm)
A = 1,188 square centimeters
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Answer:
T = 47.1875°C
Step-by-step explanation:
Given:
Surrounding temp, Ts = 100°C
Initial Temperature ,T0= 20°C
Increase in temperature = 15°C
Final temperature, T = 20 + 15 = 35°C
Time, t = 9 seconds
Let's take Newton's law of cooling:
We'll solve for k
Divide both sides by -5
Let's now find the temperature of the ball after 18 seconds in boiling water.
Use the Newton's equation again:
T = 47.1875°C
Temperature of the ball after 18 seconds in boiling water is 47.1875°C
If we want to has 100 in the denominator we have to divide numerator and denominator by 2. Then total value of fraction doesnt change.
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23
Now read the fraction, its 23 hundreds, now just write as decimal, so, 0.23