Answer:
XZ ≈ 14.4 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos29° = 
= 
= 
Multiply both sides by XZ
XZ × cos29° = 12.6 ( divide both sides by cos29° )
XZ = 
≈ 14. 4 ( to 3 sig. figs )
Answer: She would save $175.08 during each of the next 2 weeks.
Step-by-step explanation:
Jasmine's plane ticket cost $466.88. She has already saved 25% of the cost of the ticket. This means that the amount that she already saved is
25/100 × 466.88 = $116.72
The amount remaining would be
466.88 - 116.72 = $350.16
During the next 2 weeks, she will save 1/2 of the remaining cost of the ticket. This means that the amount that she would save during each of the next 2 weeks is
1/2 × 350.16 = $175.08
9) x= -6
10) x= 3/2
11) x= -4,0,5
12) no solution
There are 10,000 total four-digit numbers (1000 through 9999).
Multiples of 2 end in 0, 2, 4, 6, and 8. There are 9*10*10*5 = 4500 four-digit multiples of 2.
Multiples of 5 end in 0 or 5. There are 9*10*10*2 = 1800 four-digit multiples of 5.
There is redundancy between the two sets of numbers, namely those that end in 0, which are both multiples of 2 and 5. There are 9*10*10*1 = 900 four-digit multiples of both 2 and 5.
Then there are 4500 + 1800 - 900 = 5400 total four-digit numbers that are either multiples of 2 or 5, which means the remaining 4600 numbers are neither multiples of 2 nor 5.
