Answer:
216 sq. units
Step-by-step explanation:
From the figure, we can see that only one pair of opposite angles are equal. So, the quadrilateral is a kite.
Formula to find the area of a kite:
Area, A = 
where,
and
are the lengths of the diagonals.
Here,
units.
And,
units.
Therefore, the area A = 
= 
= 216 sq. units which is the required answer.
The volume of soup in the cylindrical can is 100.48 inches cube.
<h3>How to find the volume of a cylindrical can?</h3>
We have to find the volume of the soup in a cylindrical can of height 8 inches and 4 inches across the lid.
The volume of the soup is the volume of the cylindrical can.
Therefore,
volume of the cylindrical can = πr²h
where
- r = radius of the cylinder
- h = height of the cylinder
Therefore,
h = 8 inches
r = 4 / 2 = 2 inches
volume of the soup in the cylindrical can = πr²h
volume of the soup in the cylindrical can = π × 2² × 8
volume of the soup in the cylindrical can = π × 4 × 8
volume of the soup in the cylindrical can = 32π
Therefore,
volume of the soup in the cylindrical can = 32 × 3.14
volume of the soup in the cylindrical can = 100.48 inches³
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Answer:
A = 41.4°
Step-by-step explanation:
Reference angle = A
Length of Adjacent side = 6
Length of Hypotenuse = 8
Apply the trigonometric function, CAH.
Cos A = Adj/Hyp
Substitute


A = 41.4° (approximated to the nearest tenth)
Answer:
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Step-by-step explanation:
(a) What is the probability that a randomly chosen doctor is in favor of the vaccine
75% of 115/250 = 0.46(German).
60% of 65/250 = 0.26(French).
65% of 70/250 = 0.28(Englishmen). So

0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Answer:
B and D
Step-by-step explanation: