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andrew-mc [135]
4 years ago
5

Find the area of the triangle.

Mathematics
1 answer:
Ierofanga [76]4 years ago
5 0
Imagine you cut the triangle in half. You take the one half and flip it upside down and match it up next to the other hypotenuse. You now have a rectangle.

You can see that two of the sides should be 3 yd and the other two will be 4 yd because you cut 8 yd in half. To find the area you multiply length by width.

3 yd x 4 yd = 12 yd²
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Shoe sizes for men in the United States have a distribution that is bell shaped where = 10 and = 1.5. Using the empirical rule,
Talja [164]

Answer:

Step-by-step explanation:

Pictured is a normal distribution curve.  The mean is in the middle and each line going from the middle is either adding or subtracting the standard deviation.  Our mean is 10, so 10 goes in the middle, and the line to the right of 10 is 10+1.5=11.5.  The next line to the right of that is 11.5+1.5=13.  The line to the right of that is 13+1.5=14.5.

To the left of the mean we have 10-1.5=8.5.  To the left of that we have 8.5-1.5=7.  To the left of that we have 7-1.5=5.5.  You can see in the image what the percentage is within each separation.  From a size 7 to a size 13 we have the percentages 13.5+34+34+13.5=95%

In the greater realm of things, this statistic tells a shoe store manager that since 95% of men polled wear a shoe size between 7 and 13, it would be cost efficient for him to keep an abundance of these sizes on hand.  The greatest majority of men polled (68%) wear from a size 8.5 to a size 11.5.  

4 0
3 years ago
Okay i need somones help
Leto [7]
202 ft^2
The lateral area is the area of all the sides except the base. So you find the area of the triangles (16), then the left rectangle (80), then the right rectangle (90). Finally you add them together.
16+16+80+90=202
6 0
3 years ago
I really dont get this question
Gre4nikov [31]

Answer:

10,000

Step-by-step explanation:

Example:

.01 × 10,000 = 100

4 0
3 years ago
Read 2 more answers
What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125
Pepsi [2]

Answer:

  • 5/4

Step-by-step explanation:

<u>Given infinite geometric series</u>

  • 1/4, 1/5, 4/25, 16/125, ...

<u>We see that</u>

  • a = 1/4
  • r = 4/5

<u>Sum of the series</u>

  • S = a*1/(1 -r)
  • S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4
4 0
3 years ago
Read 2 more answers
A circular cloud of poison gas from a factory explosion is expanding so that t hours after the explosion the radius of the cloud
diamong [38]

Answer:

6000π m²/h

Step-by-step explanation:

Area of the circular cloud =πr²----------------------------------------- (1)

Radius as a function of time = R(t)=50+20t------------------------ (2)

dA/dt = (dA/dr) x (dr/dt)-----------------------------------------------------(3)

dA/dr  =  2πr

dr/dt   = 20

After 5 hours, the radius of the cloud will be :

R(5)=50+20(5)

     =   150 meters

Substituting into (3)

dA/dt =   2π(150)  x 20

         =   6000π m²/h

3 0
3 years ago
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