Step-by-step explanation:
Given,
x = 81° and y = 41°
Also given in the figure that,
m∠AOB = x + y
Therefore, value of m∠AOB,
m∠AOB = x + y
= 81° + 41°
= <u>122° (Ans)</u>
Answer: y = 3x + 4 and y = 3x + 7
Step-by-step explanation:
Answer:
3. t-test for the difference between means for two related samples.
Step-by-step explanation:
It is given that a professor of UCI wishes to study what really the students remember from their elementary school days and other such stuffs that were very popular at that time.
therefore the professor put forward two test. In one of the test, he put some question from the elementary school and in other he put one question about a pop culture from that time. He used the same sample for both the tests.
So, since the professor involved the same set of students in his experiment for both the tests, so both the samples are related samples.
Therefore, the test uses is a t - test that is used for the difference between the related samples.
He pays $223.65.
This is because from the equation you know that he pays 29.95+2.00 for one light therefore, if we use x to represent the amount of lights--
X(29.95+2.00)
is an equation you can use to solve for the amount Mr. Davis payed for his lights.
Answer:
Step-by-step explanation:
Step 1 - As both triangles have lengths the same size, they both add together to equal a rectangle. Therefore:
4 x 3 = 12
Which is the area of the triangles.
Step 2 - Calculating the area of a circle uses the formula:
Where r is the radius of the circle.
Plug the known variables in:
However, this is the area of a full circle. The figure is only half a circle so we must divide this by two:
28.26 ÷ 2 = 14.13
Now, add the area of the semi-circle to the area of the triangles:
14.13 + 12 = 26.13
Therefore, the area of the figure is .
Hope this helps!
