<u>Answer with step-by-step explanation:</u>
We are given two figure for which we have to find their areas.
To make it easier, we will break down these figure into recognizable shapes and then find the total area.
<u>Figure 1:</u>
Area of rectangle = 110 x 140 = 15400 cm^2
Area of triangle = 0.5 x (180 - 110) x 90 = 3150 cm^2
Area of figure 1 = 15400 + 3150 = 18550 cm^2
<u>Figure 2:</u>
Area of square = 8 x 8 = 64 cm^2
To find the area of triangle, we need to find the length of the base using the Pythagoras Theorem:
Area of triangle = 0.5 x 6 x 8 = 24 cm^2
Area of figure 2 = 64 + 24 = 88 cm^2
Tax is 1.54
Including tax = 39.99
Excluding tax= 38.5
Hope this helps
Explanation:
The formula for law of cosines is:
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.
Answer:
The value of <em>α</em> is 0.05.
Step-by-step explanation:
A poll of 1000 adults was conducted to determine their favorite pie.
The poll result states that among the 1000 respondents, 14 % chose chocolate pie, and the margin of error was given as plus or minus 3 percentage points.
The confidence level is 95%.
Determine the value of significance level, <em>α</em> as follows:
Thus, the value of <em>α</em> is 0.05.