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mestny [16]
3 years ago
11

From a boat on the lake, the angle of elevation to the top of a cliff is 26°1'. If the base of the cliff is 205 feet from the bo

at, how high is the cliff (to the nearest foot)?

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
First off hmm <span>26°1' is just 26 degrees and 1 minute

there are 60 minutes in 1 degree, so 1minute is just 1/60 degrees
so </span>26°1' is 26° + (1/60)°  or 26.1667 rounded up, since 1/60 is a recurring unit

alrite... so hmm, check the picture below

make sure your calculator is in Degree mode.


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Tickets to a circus cost $38.50 each. the glee club bought 70 tickets for saturdays circus and 21 tickets for sunday's circus. h
vagabundo [1.1K]

Answer:

$878.5

Step-by-step explanation:

that is if the tickets for saturday & sunday are both $38.50

7 0
3 years ago
In a magic square, the sum of the numbers in any row, column, or diagonal is the same. The square below is a magic square. Two o
mote1985 [20]
Answer: c
hope this helps you out & i’m not 100% sure if this is right so sorry if u get it wrong .
4 0
3 years ago
There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the
Dmitrij [34]

Answer:

a) 17,100,720

b) 4,717,440

c) 10,920

d) 2821

Step-by-step explanation:

14 juniors and 16 seniors = 30 people

a) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

As it is a ordered arrangement

30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

16.28.27.26.15 = 4,717,440

c) If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

C₁₄,₂ = <u>14.13.12!</u> = <u>14.13 </u>= 91

           12! 2!            2    

C₁₆,₂ = <u>16.15.14!</u> = <u>16.15 </u>= 120

           14! 2!            2    

C₁₄,₂ * C₁₆,₂ = 91.120 = 10,920

d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

C₁₄,₄ + C₁₆,₄

C₁₄,₄ = <u>14.13.12.11.10!</u> = <u>14.13.12.11 </u>= 1001

                  10! 4!               4.3.2.1    

C₁₆,₄ = <u>16.15.14.13.12!</u> = <u>16.15.14.13 </u>= 1820

                  12! 4!               4.3.2.1    

C₁₄,₄ + C₁₆,₄ = 1001 + 1820 = 2821

7 0
3 years ago
** If you your answer contains an irrational number (a never ending decimal number) leave the number under the square root symbo
sdas [7]
The answer is the square root of 23 i.

(The “i” is outside of the square root symbol, and the 23 is positive).

Hope this helps! (:
4 0
3 years ago
the present value that must be invested to get $1,000 after 6 years at the interest rate of 11.5% is $ round up to the nearest c
SSSSS [86.1K]
The future worth (F) of the current investment (P) given that the interest (i) is compounded can be calculated by the formula,
                                F = P x (1 + i)^n
where n is the number of years. Substituting the given values to solve for P,
                             1000 = P x (1 + 0.115)^6
The value of P is approximately $520.42.
4 0
4 years ago
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