Use SOHCAHTOA. Since we are looking for the hypotenuse, you must use sine or cosine. Since, we are given the adjacent side, use cosine.
cosx=a/h
cos45=8/h
√2/2=8/h
<em>*Cross multiply*</em>
h√2=16
<em>*Divide both sides by √2*</em>
h=16/√2
<em>*Multiply by √2/√2*</em>
h=(16√2)/2
<em>*Simplify the fraction*</em>
h=8√2
Hope this helps!!
Answer:
the appropriate conclusion is that
<em>The samples provide evidence that there is a statistically significant difference between the starting salary of chemical engineering and electrical engineering graduates at the University of Texas at Austin for 2013-2014.</em>
<em />
Step-by-step explanation:
Since the p-value is small, it indicates statistically significant results. This means that <em>there is a statistically significant difference between the starting salary of chemical engineering and electrical engineering graduates at the University of Texas at Austin for 2013-2014.</em>
Answer:
the answer is 6.5 because the left side would be 44 and the right side would be 46.5
Step-by-step explanation:
I wanna help you but I don’t understand sorry
Answer:
Step-by-step explanation:
Find the measure of the vertex angle ∠ABD of an isosceles triangle
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem
∠ABD=∠BAD= ----> the angles of the base are equals
Find the measure of the vertex angle
∠ABD= ------> the sum of the internal angles of a triangle is equal to
Step 2
Find the measure of the angle ∠CBD in the equilateral triangle
we know that
A equilateral triangle has three equal sides and three equal angles
The measure of the internal angle in a equilateral triangle is
so
∠CBD=
Step 3
Find the measure of the angle ∠ABC
∠ABC=∠ABD+∠DBC
substitute the values
∠ABC=
therefore
the answer is
the measure of the angle ∠ABC is