Answer:
D. 12²•π
Step-by-step explanation:
Area of a circle = πr²
Radius (r) = ½ of diameter = ½*24 = 12 inches
Plug in the value into the area
Area = π * (12)²
Area = π * 12²
Area = 12²•π
Answer:
d) The possible value of n can be expressed as 15 < n < 25.
Step-by-step explanation:
Here, the given sides of the triangle are:
First Side = 20 cm
Second Side = 5 cm
Third side = n cm
Now ,as we know " SUM OF ANY TWO SIDES OF A TRIANGLE IS ALWAYS GREATER THAN THE THIRD SIDE"
⇒ Length of ( First + Second ) side > Third Side
or,( 20 cm + 5 cm ) > n cm
or, n < 25 cm
Now, from all given options,
15 < n < 25 is the MOST APPROPRIATE.
Hence, the possible value of n can be expressed as 15 < n < 25.
Answer:
(9, 27 )
Step-by-step explanation:
Since the dilatation is centred at the origin, multiply each of the coordinates of the original point by the scale factor of 3
(3, 9 ) → (3(3), 3(9)) → (9, 27 )
Answer: 5.4
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Explanation:
Angle D = 43 is the given reference angle
side FE = 5 is the side opposite the reference angle (since its the leg furthest away from angle D)
We want to find side DE which is the other leg. This is the adjacent side with angle D as the reference angle
Use the tangent rule
tan(angle) = opposite/adjacent
tan(D) = FE/DE
tan(43) = 5/DE
DE*tan(43) = 5
DE = 5/tan(43)
DE = 5.36184355 <<-- use a calculator here; this is approximate
DE = 5.4 <<-- round to the nearest tenth
That's why 5.4 is the answer
I believe it is the second answer
