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lawyer [7]
1 year ago
9

A 10-foot ladder is leaning against a wall, making a 65' with the ground.To the nearest whole foot, how far up the wall will the

ladder reach?feetsin AoppositehypotenuseCOS A =adjacenthypotenusetan Aoppositeadjacent56789
Mathematics
1 answer:
Andreas93 [3]1 year ago
6 0

sin = opposite/hypotenuse

sin 65° = x/10 ==> x = 10 * sin 65° = 10 * 0.90631 = 9.06 ft

Answer:

9.06 ft

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Strike441 [17]

Answer:

x = -11

Step-by-step explanation:

I'm assuming it's an isosceles triangle so 32 + 2x = 10;

subtract 32 from both sides;

2x = -22

x = -11

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3 years ago
A function f(x) is graphed on the coordinate plane.
Sidana [21]

Answer: y = - 4x + 2


Explanation:


The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.


The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.


The graph permits you to calculate both parameters.


1) The slope, a is defined in this way:

  • a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
  • you can use the points (0, - 2) and (-1,2):

       ⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b =  - 2.


3) Substituting the values of a and b in the form y = ax + b, you the rule:

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8 0
3 years ago
Read 2 more answers
The value of x is ____ degrees, and the value of y is___degrees
solmaris [256]

Answer:

x = 112°, y = 68°

Step-by-step explanation:

68° and y are corresponding angles and are congruent, then

y = 68°

x and y are adjacent angles and are corresponding ( sum to 180° ), then

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x + 68° = 180° ( subtract 68° from both sides )

x = 112°

8 0
3 years ago
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olasank [31]

Answer:

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Step-by-step explanation:

To find the percent take the number that liked it over the total

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Change to decimal form

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Change to percent by multiplying by 100

62.66666666%

The nearest percent is 63%

37.5 % would but it then multiply by the number of shoppers

37.5 % ( 600)

Change to decimal form

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225

7 0
3 years ago
Faith earned a grade of 46% on her multiple-choice history final that had a total of 200 problems. How many problems on the fina
damaskus [11]

Answer: she answered 92 questions correct because 46% of 200=92

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