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:
d. May result in the TSLS being inconsistent in large samples
Step-by-step explanation:
Two-stage least squares (TSLS), regression analysis is a statistical technique that is used for two distinct stages of variables regression, so, when there are more relevant instruments than required, is like having a larger sample size in that the more information is available for use in the Instrumental Variables regression (IV).
Adina did not simply. Before multiplying 5.
Answer:
117.45 in^2
Step-by-step explanation:
Given data
Diameter of pizza= 10in
Radius of pizza=10/2= 5in
Lenght of pizza box= 14in
Area of pizza= πr^2
A= 3.142*5^2
A= 3.142*25
A= 78.55 in^2
Area of pizza box= L^2
A= 14^2
A= 196 in^2
Hence the empty space is
=196-78.55
=117.45 in^2
