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aev [14]
3 years ago
13

A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?

Round your answer to the nearest 10th of a foot
Mathematics
1 answer:
inn [45]3 years ago
6 0
This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

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A game consists of tossing three coins. If all three coins land on heads, then the player wins $75. If all three coins land on t
emmainna [20.7K]

Answer:

On average, a player should expect to win $15.

Step-by-step explanation:

The expected value in an event with outcomes:

x₁, x₂, ..., xₙ

Each with probability:

p₁, ..., pₙ

is given by:

Ev = x₁*p₁ + ... +xₙ*pₙ

In this case we have 3 outcomes:

player wins $75 = x₁

player wins $45 = x₂

player does not win = x₃

Let's find the probabilities of these events.

player wins $75)

Here we must have the 3 coins landing on heads, so there is only one possible outcome to win $75

While the total number of outcomes for tossing 3 coins, is the product between the number of outcomes for each individual event (where the individual events are tossing each individual coin, each one with 2 outcomes)

Then the number total of outcomes is:

C = 2*2*2 = 8

Then the probability of winning $75 is the quotient between the number of outcomes to win (only one) and the total number of outcomes (8)

p₁ = 1/8

Win $45:

This happens if the 3 coins land on tails, so is exactly equal to the case above, and the probability is the same:

p₂ = 1/8

Not wining:

Remember that:

p₁ + p₂ + ... + pₙ = 1

Then for this case, we must have:

p₁ + p₂ + p₃ = 1

1/8 + 1/8 + p₃ = 1

p₃ = 1 - 1/8 - 1/8

p₃ = 6/8

Then the expected value will be:

Ev = $75*1/8 + $45*1/8 + $0*6/8 = $15

On average, a player should expect to win $15.

7 0
3 years ago
The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified po
kumpel [21]

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

6 0
3 years ago
NEED HELP ASAP
BlackZzzverrR [31]
1. 3375
2. 45
3. 14348907
4. 3375

but the 3 or 2 ???
3 0
2 years ago
Write the slope-intercept form of the equation through (4, 2) perpendicular to LaTeX: y=4x-4
marin [14]

Answer:

y=4x-4

slope of the line=-4/-1

                             4/1

since perpendicular,

    m1.m2=-1

    4.m2=-1

    m2=-1/4

The equation of line passing through the point (4,2)is

  y-y1=m2(x-x1)

  y-2=-1/4(x-4)

Step-by-step explanation:

i don't say that you have to mark my ans as brainliest but my friend if  it has helped you a bit also don't forget to thank me.....

3 0
3 years ago
The data displayed by the graph indicate that in 2000,
MrMuchimi

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

A(t) = A(0) - mt

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, A(0) = 45
  • Decaying by 1.7 each year, thus m = 1.7.

The equation is:

A(t) = 45 - 1.7t

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

11 = 45 - 1.7t

1.7t = 34

t = \frac{34}{1.7}

t = 20

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
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