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vampirchik [111]
3 years ago
13

From the top of a building, 40 feet above the ground, a construction worker locates a rock at a 12° angle of depression. How far

is the rock from the building? ​
Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
6 0

Answer:

188 m

Step-by-step explanation:

\tan(12)  =  \frac{40}{x}  \\ x =  \frac{40}{ \tan(12) }  \\ x = 188

UNO [17]3 years ago
5 0

Answer:

I think that the other answer is WRONG

tan(12) = \frac{x}{40}

x = tan(12)*40 = 8.5

Step-by-step explanation:

\frac{sin\left(78\right)}{40}=\frac{sin\left(12\right)}{x} = 8.5

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Complete this statement:<br> 15a2x2 + 12a2x + 9a2 = 3a?(
g100num [7]

Answer:

a=0

Step-by-step explanation:

im prbly wrong pls tell me if im wrong

6 0
3 years ago
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the avera
Veseljchak [2.6K]

Answer:

<h2>Yes, it is likely due to the significant difference in their average scores. </h2>

Step-by-step explanation:

The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;

Average score of 5 games = (5+9+4+11+8)/5

Average score of 5 games  = 37/5

Average score of 5 games  = 7.4

Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.  

7 0
3 years ago
-2a-10+a=-28 please help me
Svetradugi [14.3K]

Answer:

a=18

Step-by-step explanation:

-2a-10+a=-28

-1a-10=-28

+10 +10

-1a=-18

divide by -1

a=18

6 0
2 years ago
How do you solve 1/3 of 3/4 <br> of a fraction
Trava [24]

1 1/12

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(1/3, 3/4) = 12

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(13×44)+(34×33)=?

Complete the multiplication and the equation becomes

4/12+9/12=?

The two fractions now have like denominators so you can add the numerators.

Then:

4+9/12=13/12

This fraction cannot be reduced.

The fraction

13/12

is the same as

13÷12

Convert to a mixed number using

long division for 13 ÷ 12 = 1R1, so

1312=1 1/12

Therefore:

13+34=1 11/2

5 0
3 years ago
Peggy wants to run 5 miles in less than 60 minutes. What inequality shows what her rate should be ?
sleet_krkn [62]
The inequality that her rate should be is
<span>5 > 60</span>
8 0
3 years ago
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