This problem involves the uses of the Pythagorean Theorem as well as the use of Sine.
To start we need to identify what we know and what we don't know. We know that there are two triangles. We are given 2 sides lengths and an angle in one and only an angle in the other. They share one side meaning when we are given 2 sides in one triangle it will be easy to get the third side. What we don't know is the side length of CB DB or CD. We need to find CB in order to find CD.
<em>Pythagorean Theorem for side length CB:</em>
12^2-6^2=√108
√108=10.4 (average)
So CB is equal to 10.4
<em>Sine Calculation for side length CD:</em>
Since we have angle 56* we will use the length we found which will be the opposite side from the angle and then input x for our hypotenuse CD in order to solve.
sin 56* = 10.4/x
sin 56* × x = 10.4/x × x
sin 56*x = 10.4
/sin 56* /sin 56*
x = 12.544....
or 12.6 (average)
So, to conclude, our answer for CD is 12.6cm.
Hope I helped!
Answer:
m=3
Step-by-step explanation:
Answer: 3 ⅞, 3¾, 3⅔, 3 2/5
Step-by-step explanation:
The order of the pencils lengths from greatest to lowest will be converted to percentage to make it easier.
3 7/8 = 3.875
3 2/5 = 3.4
3 3/4 = 3.75
3 2/3 = 3.67
Therefore, from greatest to lowest will be:
3 ⅞, 3¾, 3⅔, 3 2/5
Answer:
Option D) is true about median
Step-by-step explanation:
We are given the following information in the question:
Median:
- The median is the middle number or the center of the data when the data is sorted in either ascending or descending order.
- The median is not affected by the presence of any outliers since the data is sorted.
Option A) Medians are not affected by the outliers
Option B) Medians can only be calculated when the data is sorted.
Option C) This is a false statement about the medians.
Option D) True
When there are even number of observations, the median is the mean of the two middle numbers.
The answer is A.
If you are asked to find an equation parallel to the other, make sure the equations have the SAME SLOPE, DIFFERENT Y-INTERCEPT
