Diameter of the circle =4+4=8
Area of semicircle =8 pi
Area of triangle= 1/2*4*8=16
Area of the shaded area=8pi -16=2.9 pi approximately 3pi
Answer: 97
Step-by-step explanation:
The diagonal equals the square root of the width squared plus the height squared.
<u>Solution-</u>
Given that,
In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.
Then considering ΔPQT and ΔSTF,
1- ∠FTS ≅ ∠PTQ ( ∵ These two are vertical angles)
2- ∠TFS ≅ ∠TPQ ( ∵ These two are alternate interior angles)
3- ∠TSF ≅ ∠TQP ( ∵ These two are also alternate interior angles)
<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>
∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

As QS = TQ + TS = 10 (given)
If TS is x, then TQ will be 10-x. Then putting these values in the equation



∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm
Answer:
see below
Step-by-step explanation:
First of all, you want to find the data set the matches the extreme values of 5 and 35. That eliminates the 2nd and 4th choices.
Then you want to find the data set that has a median of 15. The first data set has a middle value (median) of 20, so that choice is eliminated.
The data set of the 3rd choice matches the box plot extremes, median, and quartile values.
Answer:
If Henry walks along the sidewalks, he will walk 1.7 miles in total. It will take him 17 minutes to reach the store and another 17 minutes to come back.
If Henry cuts through the city, he will walk √(1.2² + 0.5²) = 1.3 miles in total. It will take him 22.3 minutes to reach the store and another 22.3 minutes to come back.
Even though Henry will need to walk a longer distance if he walks along the sidewalks, he will be able to reach the store and back back in a shorter time than if he cuts through the city.