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marta [7]
3 years ago
15

John is flying a kite at an angle of 65 degrees with the ground. If the kite's height is 70 feet

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0

Answer:

77 feet

Step-by-step explanation:

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The Drury Lane Theater has 10 seats in the first row and 38 rows in all. Each successive row contains one additional seat. How m
densk [106]

Answer:

1083 seats

Step-by-step explanation:

this is an arithmetic sequence :

an = an-1 + c

in our case

a1 = 10 (10 seats in the first row)

a2 = a1 + 1 = 10 + 1 = 11

a3 = a2 + 1 = a1 + 1 + 1 = 10 + 1 + 1 = 12

an = an-1 + 1 = a1 + (n-1)×1 = a1 + n - 1 = 10 + n - 1 = 9 + n

a38 = a1 + 37 = 10 + 37 = 47 seats.

altogether this means the sum of the arithmetic sequence of a1 to a38.

the general sum of an arithmetic sequence from a1 to an is

n×(a1 + an)/2

in our case

38×(10 + 47)/2 = 19×57 = 1083 seats

3 0
2 years ago
Penny has $50 to buy tickets to the state fair for her family she will buy an equal number of child and adult tickets the inequa
Katen [24]

Answer:

n < 3

Step-by-step explanation:

6n + 9n < 50

15n < 50

n < 50/15

n < 3.33

Approximately

n < 3

The greatest Number of tickets penny can buy is children 3 tickets; adults 3 tickets making a total of 6 tickets

4 0
3 years ago
Which is the largest integer value of p that satisfies the inequality 4 + 3p &lt; p + 1
Leto [7]

Answer:

-2

Step-by-step explanation:

4 + 3p < p + 1

3p - p < 1 - 4

2p < -3

p < -3/2 (or - 1 1/2)

so the largest integer that p can be is -2

8 0
4 years ago
What is the following quotient? StartFraction StartRoot 96 EndRoot Over StartRoot 8 EndRoot
Neporo4naja [7]

Answer:

A) 2\sqrt{3}

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which sequence of transformations results in figures that are similar but not congruent?
PolarNik [594]
Maybe the answer is b try it
4 0
3 years ago
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