Answer:
The area of the triangle is 18 square units.
Step-by-step explanation:
First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:
AB
![AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%285-2%29%5E%7B2%7D%2B%5B6-%28-1%29%5D%5E%7B2%7D%7D)
BC
AC
![AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}](https://tex.z-dn.net/?f=AC%20%3D%20%5Csqrt%7B%28-1-2%29%5E%7B2%7D%2B%5B4-%28-1%29%5D%5E%7B2%7D%7D)
Now we determine the area of the triangle by Heron's formula:
(1)
(2)
Where:
- Area of the triangle.
- Semiparameter.
If we know that , and , then the area of the triangle is:
The area of the triangle is 18 square units.
24 because it’s the lowest multiple of 12 that’s also in 2,6 and 8
I only know the answers for 10 and 11
10. 903.6 divided by 25.1 = 36 Estimate: 36
11. 760.38 divided by 0.38 = 2,001 Estimate: 2,000
Answer:
E. When the sample size increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes.
Step-by-step explanation:
- T distribution is similar to the normal distribution and is seen when the estimates of the variance are based on the degree of freedom and has a relatively more score in its tail and has a greater change of extreme values.
Answer:
First, break the shape into smaller shapes.
Bigger rectangle: 5m, 8m
Thin rectangle: 7m, 3m
Thinner rectangle: 8m, 2m
We will call the bigger rectangle <u>B</u>, the thin rectangle <u>R</u>, and the thinner rectangle <u>r</u>.
Step-by-step explanation:
B = 8 • 5 = 40
R = 7 • 3 = 21
r = 2 • 8 = 16
Add the areas together:
40 + 21 + 16 = 77
Therefore, the area is <u>77 meters.</u>
