2 semicircles are shown. The smaller semicircle is inside of the larger semicircle. Point G is the center point. Lines B G and C G are radii of the larger semicircle. Line B G intersects the smaller semicircle at point H and line C G intersects the smaller semicircle at point I. The distance between the smaller semicircle and the larger semicircle is 3 feet. Arc B C measures 45 degrees. The area between arcs B C and H I is shaded.
The window shown is the shape of a semicircle with a radius of 6 feet. The distance from F to E is 3 feet and the measure of Arc B C = 45°. Find the area of the glass in region BCIH, rounded to the nearest square foot.

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Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Amayoral candidate would like to know her residents’ views on a tax on sugar drinks before the mayoral debates. she asks one thousand registered voters from both parties. these voters are an example of a census population convenience sample simple random sample