Answer:
A rhombus is both a rectangle and a rhombus. All the sides are equal and each angle measure 90 degrees. So yes it can be a rhombus.
Step-by-step explanation:
Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
Answer:
The G.C.F of (8,24) is 8
Step-by-step explanation:
look at the attachment above ☝️
Answer:
The flute instructor can conclude that the length of the song does not have a direct variation or correlation with the number of incorrect notes.
Step-by-step explanation:
Direct variation and correlation means that as the "x" variable increases, the "y" variable will change according to it.
If the flute instructor took numerical data, for example, made a chart, and graphed it, then he would not find a trend.
It would probably look like this (see first photo). The plotted points are all over the place. ("x" is the song length, "y" is the number of incorrect notes).
If there was a correlation, then the data would look more like a straight line (see second photo).