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torisob [31]
3 years ago
6

What is the area of this triangle?

Mathematics
1 answer:
amid [387]3 years ago
7 0
We can solve for the 3 triangle sides.
The left side is easy 6.
Second side² = 7² + 4²
Second side² = 49 + 16
Second side = square root (65)
Second side = <span> <span> <span> 8.0622577483 </span> </span> </span>
Third Side² = 7² + 2²
Third Side² = 53
Third Side = <span> <span> <span> 7.2801098893 </span> </span> </span>
When we know 3 sides, we use Heron's formula for calculating area:
Perimeter = <span> <span> <span> 21.3423676376 </span> </span> </span>
Semi-Perimeter = <span> <span> <span> 10.6711838188 </span> </span> </span>
Using Heron's Formula
area = square root (<span>10.6711838188 * </span><span>4.6711838188 * </span> <span> <span> <span> 2.6089260705 </span> </span> </span> * <span> <span> <span> 3.3910739295 </span> </span> </span> )
area = square root (441)
area = 21

Yes, it's just that "easy".  LOL

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The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
Lostsunrise [7]

Answer:

ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

The confidence level is 0.98 and the significance is \alpha=1-0.98 =0.02 and \alpha/2 =0.01 and the critical value using the table is:

z_{\alpha/2}= 2.326

And replacing we got:

ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76

Step-by-step explanation:

For this case we have the following info given:

\sigma = 425 represent the population deviation

n =22 the sample size

\bar X =1520 represent the sample mean

We want to find the margin of error for the confidence interval for the population mean and we know that is given by:

ME =z_{\alpha/2} \frac{\sigma}{\sqrt{n}}

The confidence level is 0.98 and the significance is \alpha=1-0.98 =0.02 and \alpha/2 =0.01 and the critical value using the table is:

z_{\alpha/2}= 2.326

And replacing we got:

ME=2.326 \frac{425}{\sqrt{22}}= 210.760\ approx 210.76

3 0
2 years ago
What is the answer to 14x. -2y=46. Y=4x -11
sashaice [31]

Answer:

-42

Step-by-step explanation:

-2y = 46

y = 46/ -2

y = -23

Substitute y in y = 4x-11

-23 = 4x -11

-23+11 =4x

-12 = 4x

x = -12/4

x = -3

Now plug in x value in 14x

14(-3) = -42

5 0
3 years ago
Okay last one of these, 15 points xox​
Vanyuwa [196]

Answer:

<u>13.2 centimeters</u>

Step-by-step explanation:

<u>Finding the missing side</u>

  • (?)² + (9)² = (16)²
  • ?² + 81 = 256
  • ?² = 175
  • ? = √175
  • ? = <u>13.2 centimeters</u>
7 0
1 year ago
Read 2 more answers
Which point is located at (4, -2)?
larisa86 [58]
Point B is located at point (4, -2)
7 0
2 years ago
PLEASE HELP!! I will award 60 points!
natta225 [31]

Answer:

1.22 i think

Step-by-step explanation:

3 0
2 years ago
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