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lisov135 [29]
3 years ago
8

SOMEONE HELP ASAPPPPPPP!!! PLEASE

Mathematics
1 answer:
Rom4ik [11]3 years ago
4 0
(1) See below for a diagram. Basically, the distance on the ground from the person to the building (34 ft) is adjacent to the angle of elevation (74 degrees) and the height of the building (labeled h in the diagram) is the side opposite the angle. Since we are dealing with opposite and adjacent we use the tangent of the angle and tan = opp/adj

Specifically, tan74= \frac{h}{34}
h=(34)(tan74)<span class="_wysihtml5-temp-placeholder"></span>
h=118.6 feet.

Please be sure your calculator is set to degrees (not radians) when you do this problem.

(2) Here since P & Q are complimentary it means that their sum is 90 degrees. Since this is a right triangle that means that the remaining angle (R) must be the right angle. See below for a diagram.

sin = opp/hyp. As the sin Q =  9/41 this means that 9 is the length of the side opposite Q (the side PR) and 41 is the length of the hypotenuse. This makes the remaining side (QR) 40 in length.

cos = adj/hyp. If we focus on angle P the side adjacent (next to) is 9 and the hypotenuse is 41. Thus the cos of P = 9/41.

You could have also realized that if P & Q are complimentary the sin P = cos Q and the cos P = sin Q. We were not asked about tangent but it is also the case that tan P = cot Q and cot P = tan Q.

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From end zone to end zone, a football field is 120 yards long. How long is the football field in feet?
cricket20 [7]

Answer:

The football field is 360 feet long.

Step-by-step explanation:

Remember, there are 3 feet in 1 yard.

1 yard = 3 feet

To find out how long the football field in feet, we must convert 120 yards into feet.

To convert yards to feed, multiply the number of yards by 3 (3 feet per yard).

120 × 3 = 360

The football field is 360 feet long.

I hope this helps. :)

4 0
3 years ago
Read 2 more answers
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. which expression represents the pro
schepotkina [342]

The probability expression is \frac{^{6}C_2}{^{20}C_2}

<h3>How to determine the probability expression?</h3>

The given parameters are

  • Sophomore = 6
  • Freshmen = 14

The total number of people is

n = 20

2 of the 20 people are to be selected.

So, the number of selection is

n = ^nC_r

This gives

n = ^{20}C_2

The expression that represents both students being sophomore is

n = ^{6}C_2 --- i.e. 2 students selected from 6

The probability is then represented as:

\frac{^{6}C_2}{^{20}C_2}

Hence, the probability expression is \frac{^{6}C_2}{^{20}C_2}

Read more about probability at:

brainly.com/question/8524947

#SPJ1

8 0
1 year ago
Which graph shows a system with one solution?
Vlad1618 [11]
<h3>Answer: Graph A</h3>

Explanation:

A solution is where the lines intersect. Graph A shows exactly one solution, and it is at (-2,2)

Graph B doesn't have any solutions since the lines are parallel, and parallel lines never intersect. We consider this system to be inconsistent.

Graph C has infinitely many solutions. The two lines perfectly overlap, meaning there are infinitely many intersection points. All solutions here are of the form (x,y) = (x,2x-1)

8 0
2 years ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table? (4 points) x y
AVprozaik [17]

The Initial Value is one, and the Rate of Change is one.

1x+1

Hope this helped out.

8 0
3 years ago
Read 2 more answers
Identify the range of the function shown in the graph
sladkih [1.3K]
The correct answer is:  [A]:  " -5 ≤ y <span>≤ 5 " .
_________________________________________________
The "range" refers to the the values of a function that encompass the "y-axis" of the [graphed] function. 

By looking at the graph provided in the image attached, we see that for "y" values (when "y" is "positive", or "greater than "0";  the highest value for "y" is "5"; yet "y" never "exceeds "5".  We see that for "y" values  (when y is "negative", or "less than "0", the lowest values for "y" is "-5"; yet "y" never goes "lower than "-5".  

However, "y" values are aways within, and encompassing, all "y" values between and including: "y = -5" and "y = 5"  .

As such, Answer choice:  </span>[A]:  " -5 ≤ y ≤ 5 " ;  is correct.
________________________________________________________

4 0
3 years ago
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