Answer:
16. 200+3
17. 30+4+0.1+0.02+0.007
18. 200+70+6+0.1+0.03
19. 30000000+4000000+100000+20000+3000+6
Step-by-step explanation:
Answer:
<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of souvenirs bought by Thomas = 6
Space that each souvenir takes of Thomas suitcase = 1/15
Number of Thomas suitcases = 2
2. How much room is left for his own belongings in his suitcases?
Let's find out how much space the souvenirs take:
Number of souvenirs * Space that each souvenir takes
6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)
The souvenirs take 2/5 of one suitcase.
Now, we can calculate the room that is left for Thomas' belongings.
2 Suitcases - 2/5 for the souvenirs
2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5
<u>Thomas still has 1 3/5 suitcases available for his own belongings.</u>
Answer:
1. What is the period and the amplitude of the sine function representing the position of the band members as they begin to play?
Answer: Amplitude is 80 ft, period is 60 ft.
2. Edna is sitting in the stands and is facing Darla. Edna observes that sine curve begins by increasing at the far left of the field. What is the equation of the sine function representing the position of band members as they begin to play?
Answer: y = 80cos(x*π/30)+80
3. As the band begins to play, band members move away from the edges, and the curve reverses so that the function begins at the far left by decreasing. Darla does not move. The sine curve is now half as tall as it was originally. What is the equation of the sine curve representing the position of the band members after these changes?
Answer: y = 40cos(x*π/30)+80
4. Next, the entire band moves closer to the edge of the football field so that the sine curve is in the lower half of the football field from Edna’s vantage point. What is the equation of the sine curve representing the position of the band members after these changes?
Answer: y = 40cos(x*π/30)+40
Step-by-step explanation:
The area of a trapezoid with base lengths 7 in and 19 in is given by
A = (1/2)(b1 + b2)h
A = (1/2)(7 +19)·7 = 91
The appropriate choice is
D. 91 in²
_____
It can also be figured by adding the area of the 7 in square (49 in²) to the area of the 7×12 in right triangle (42 in²).
