In order to get the area of a triangle using sides, the formula that we are going to use is Heron's formula. This is after from "Hero of Alexandria".
So here is the step by step process:
First, we calculate for s (half of the triangles perimeter) s = a+b+c divided by 2.
s = 6 + 10 + 12 / 2
s =28/2
s = 14
Now that we have the s, we can now calculate for the area.
A = square root of s(s-a)(s-b)(s-c)
A= square root of 14 x 8 x 4 x 2
A= square root of 896
A = 29.93
The area of triangle DEF is 29.93 square feet or 30 square feet. Hope this answer helps.
Answer:
95% confidence interval for the proportion of days that IBM stock increases.
(0.45814 , 0.58146)
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that a stock market analyst notices that in a certain year, the price of IBM stock increased on 131 out of 252 trading days.
Given that the sample proportion

Level of significance = 0.05
Z₀.₀₅ = 1.96
<u><em>Step:2</em></u>
<u><em>95% confidence interval for the proportion of days that IBM stock increases.</em></u>
<u><em></em></u>
<u><em></em></u>

(0.5198 - 0.06166 , 0.5198+0.06166)
(0.45814 , 0.58146)
<u><em>Final answer:-</em></u>
95% confidence interval for the proportion of days that IBM stock increases.
(0.45814 , 0.58146)
Answer:
27 units
Step-by-step explanation: 21 +6 = 27 they are 27 units apart
There are two ways you could do this:
1. (if you have a calculator) This is called decimal multipliers, and basically all you do is multiply 160 by 1.3 because 1.3 is 1 (160) and 0.3 (30%) so you would get 208.
2. (without a calculator) This is the 'long way'. You do 160 ÷ 10 = 16 = 10%, and then 16 × 3 = 48 = 30%. After this you just add 48 on to 160 to get 208.
Hope this helps!
The relationship between what Alex typed and what Tasha typed can be represented by a simple equation.
Where: 'A' the number of words Alex typed in a minute and T is the number of words typed by Tasha in a minute.

Therefore Tasha typed
43.9 words in one minute.
Hope this helps!