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QveST [7]
2 years ago
10

25.

Mathematics
1 answer:
bulgar [2K]2 years ago
8 0

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

  • The angle is of 45º.
  • The vertical distance is the height of h.
  • The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

\tan{\theta} = \frac{2}{3}

\theta = \arctan{\left(\frac{2}{3}\right)}

\theta = 33.69^\circ

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

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Angle D and Angle F are supplementary. The measure of Angle D is (3x + 5), and the measure of angle F is (2x). What is the measu
olga55 [171]

Step-by-step explanation:

Two angles are called suplementary when their measures add to 180 degrees.

D+F= 180

3x+5+2x= 180

5x+5=180

5x= 175

x= 35°

angle D = 3x+5= 3(35)+5= <u>110°</u>

5 0
3 years ago
Write an equation for your trend line?
Soloha48 [4]
Find two points on the graph that the line crosses through almost perfectly. It looks like (1,10) and (9,1) will do.

Use them to compute the slope:
m = (1 - 10) / (9 - 1)
= -9/8

Then set up the "point-slope form":
y - y0 = m * (x - x0)

You choose some point (x0, y0) that the line crosses through. We already know the line passes through (1,10) pretty well, so let's use that.

x0 = 1
y0 = 10

Now finish plugging into the equation:
y - 10 = -9/8 * (x - 1)

The above equation will work fine for an answer, but let's go a step further and solve for y.

y - 10 = -9/8x + 9/8
y = -9/8x + 9/8 + 10
y = -9/8x + 9/8 + 80/8
y = -9/8x + (9 + 80)/8
y = -9/8x + 89/8
4 0
3 years ago
David's bowling score is 6 less than 2 times Aaron's score. The sum of their scores is 84. Find the score of each student. Use t
Y_Kistochka [10]

Answer:

Aaron's bowling score is 30

David's bowling score is 54

Step-by-step explanation:

The variable representing Aaron's score is = a

The variable representing David's bowling score = d

The sum of their scores is 84.

= a + d = 84...... Equation 1

David's bowling score is 6 less than 2 times Aaron's score.

d = 2a - 6

Substituting 2a - 6 for d in Equation 1

a + 2a - 6 = 84

3a - 6 = 84

3a = 84 + 6

3a = 90

a = 90/3

a = 30

Hence, Aaron's bowling score is 30

d = 2a - 6

d = 2(30) - 6

d = 60 - 6

d = 54

David's bowling score is 54

8 0
2 years ago
Evaluate 9p^2 for p=4 . When p=4,9p^2=?
Licemer1 [7]

Answer:

  144

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

  9p^2 = 9·4^2 = 9·16

  9p^2 = 144 . . . . when p=4

6 0
3 years ago
Find the circumference of a circle that has a radius of 212 mm
IceJOKER [234]

Answer:

1332.04

Step-by-step explanation:

C=2πr=2·π·212≈1332.03529

3 0
3 years ago
Read 2 more answers
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