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liubo4ka [24]
3 years ago
7

Math help? One question?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
3 0
My triangle solver says EF ≈ 7.5 ft.

_____
The law of cosines is usually used for this.

EF^2 = DE^2 +DF^2 -2*DE*DF*cos(D)
.. = 6^2 +11^2 -2*6*11*cos(40°)
.. ≈ 55.88

EF ≈ √55.88 ≈ 7.5 . . . ft

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Daily ticket sales for a music festival are as follows: 454, 635, 454, 843, 1951, 1999. What are the mean, median, and mode of t
sesenic [268]
Mean-1056, median-739, mode- 454
4 0
3 years ago
What is the radius of the circle shown below? Round to the nearest whole number
andrey2020 [161]

Answer:

<em>The circle has a radius of 41 inches</em>

Step-by-step explanation:

<u>Circles</u>

There are certain relations in a circle that help us to identify and calculate some of its characteristics.

The figure shows a circle with three parameters which will lead us to determine its radius. First, we have a chord that measures 80 inches. Since it doesn't go through the center of the circle, it's not the diameter.

But we also have the distance from the center to the chord, making a right angle with it. This makes the chord be divided into two equal parts of 40 inches each.

Now we form a right triangle joining the center to one of the extremes of the chord. The hypotenuse of this triangle is the required radius of the circle. Like every right triangle, this must comply with Pithagora's theorem:

r^2=x^2+y^2

where r is the hypotenuse and x, y are the legs or the smaller sides of the triangle. We have determined that x=9, y=40 (or vice-versa, it doesn't matter). Therefore

r^2=9^2+40^2=1681

Solving for r

r=\sqrt{1681}=41\ inches

The circle has a radius of 41 inches

7 0
4 years ago
Is the following an example of simple random, cluster, systematic or convenience sampling?
yanalaym [24]
The following is an example of a cluster sampling.

Cluster sampling<span> is a </span>sampling<span> technique used when "natural" but relatively heterogeneous groupings are evident in a statistical population. It is often used in marketing research. In this technique, the total population is divided into these groups (or </span>clusters) and a simple randomsample<span> of the groups is selected.</span>

7 0
3 years ago
12) Add the fractions, and simplify if possible.<br><br> (y+7)/(y^2-y-12) - 2/(y^2-9)
lianna [129]

Answer:

\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

Step-by-step explanation:

Given the expression

\dfrac{y+7}{y^2-y-12}-\dfrac{2}{y^2-9}

First, factor each denominator:

1. y^2-y-12=y^2-4y+3y-12=y(y-4)+3(y-4)=(y-4)(y+3)

2. y^2-9=(y-3)(y+3)

Now the expression is

\dfrac{y+7}{(y-4)(y+3)}-\dfrac{2}{(y-3)(y+3)}

Now, multiply the first numerator by (y-3) and the second by (y-4) and write the result as a fraction with denominator (y-4)(y+3)(y-3):

\dfrac{(y+7)(y-3)-2(y-4)}{(y-4)(y+3)(y-3)}=\dfrac{y^2-3y+7y-21-2y+8}{(y-4)(y+3)(y-3)}=\dfrac{y^2+2y-13}{(y-4)(y+3)(y-3)}

This fraction cannot be simplified more.

3 0
3 years ago
For your job you need to track the amount of time you spend on each project and your total time. For Project A, you spend 1 hour
Veronika [31]

Answer:

  130 minutes

Step-by-step explanation:

  total minutes = Project A minutes + Project B minutes

  = (60 +25) minutes + 45 minutes

  = 130 minutes

130 minutes were spent on the two projects combined.

__

1 hour is 60 minutes

8 0
3 years ago
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