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sdas [7]
3 years ago
9

Look at the figure below:

Mathematics
2 answers:
timurjin [86]3 years ago
5 0

Answer: cos y° = 6b

Step-by-step explanation: I got it right on a test i was taking.

8_murik_8 [283]3 years ago
3 0

Answer:

The third one is the answer

Building B; it is around 16.35 feet taller than building A

Look at the figure below: an image of a right triangle is shown with an angle labeled y If sin y° = a divided by 6 and tan y° = a divided by b, what is the value of cos y°?

cos y° = 6 divided by b cos y° = 6a cos

If sin f° = 8/9 and the measure of YW is 24 units, what is the measure of YX?

24 units

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A rectangular piece of paper with length 35 cm and width 14 cm has two semicircles cut out of it, as shown below.
Ede4ka [16]

Answer: 336.14 cm²

Step-by-step explanation:

To find the area of the rectangle after being cut, we want to find the area of the two semicircles and subtract it from the area of the rectangle. The area of the rectangle is just base times height, or 35cm times 14cm = 490cm² . Since there are two semicircles with the same diameter, we can just solve for the area of a circle and subtract it. To find the area of the circle, we need the radius, which we get by dividing the diameter by 2. After that, we calculate the radius to be 7cm, squared and multiplied by 3.14 (area of a circle) to get 153.86 cm². Subtract the areas, and we get 490 - 153.86 = 336.14 cm²

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A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Leya [2.2K]

<em>Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).  </em>

<em> </em>

<em> </em>

<em> </em>

<em>First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."  </em>

<em> </em>

<em> </em>

<em> </em>

<em>  5x+4y=2 </em>

<em> </em>

<em>-5x     -5x  (subtract 5x from both sides to move it to the right side of your equation) </em>

<em> </em>

<em>4y = 2 - 5x </em>

<em> </em>

<em>/4  /4  /4 (divide all the terms by 4 to get "y" by itself) </em>

<em> </em>

<em>y = (1/2) - (5/4)x  ... I suggest leaving your slope as a fraction. </em>

<em> </em>

<em> </em>

<em> </em>

<em>Now, we know that our slope, m , is going to be -(5/4).  </em>

<em> </em>

<em> </em>

<em> </em>

<em>Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know: </em>

<em> </em>

<em> </em>

<em> </em>

<em>y = 5 </em>

<em> </em>

<em>m = -(5/4) </em>

<em> </em>

<em>x = 7 </em>

<em> </em>

<em> </em>

<em> </em>

<em>y=mx+b </em>

<em> </em>

<em>5=(-5/4)(7) + b  -> I plugged in what we knew for y, m, and x.  </em>

<em> </em>

<em>5 = -(35/4) + b  -> I multiplied the numbers in the numerator (5 x 7) to get 35/4 </em>

<em> </em>

<em>20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4) </em>

<em> </em>

<em>+(35/4) +(35/4)  -> I add (35/4) to both sides to isolate b </em>

<em> </em>

<em>55/4 = b ... or b = 13.74 </em>

<em> </em>

<em> </em>

<em> </em>

<em>Answer:  </em>

<em> </em>

<em>m = -(5/4) </em>

<em> </em>

<em>b = 13.75</em>

7 0
3 years ago
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