Answer:
1. B. x = 11
2. E.
3. D. 4.3 in
4. D. 40.8 ft
Step-by-step explanation:
1. By Angle Addition Postulate,
Since
then
2. By Angle Addition Postulate,
Since
then
Therefore,
3. The area of trapezoid is
From the diagram,
then
Since the area of trapezoid is then
4. Use formula for the area of the circle to find the radius of the circle:
So,
Now, find the circumference of the circle:
This triangle can be classified as an Acute Scalene Triangle.
It is an Acute triangle because all of its sides are acute (less than 90 degrees)
It is a Scalene triangle because all of its sides are of different lengths.
To find the missing angle degree we must subtract 61 and 78 from 180. We subtract them from 180 because all angles of a triangle add up to 180 degrees.
180 - 61 - 78 = 41.
So the missing angle (x) = 41 degrees.
Hope I helped!
Answer:
11/35
Step-by-step explanation:
There are a total of 21 people in the group, 12 of whom are not Democrats. The members are selected in succession. The probability the first member isn't a Democrat is 12/21.
Now there are 20 people remaining, 11 of who are not Democrats. So the probability the second member isn't a Democrat is 11/20.
The total probability is (12/21) (11/20) = 11/35
Answer:
a. 0.69
b. 0.13
c.0.56
Step-by-step explanation:
Total number = 100
a) either means students with either option are valid
69/100 = 0.69
b) both means each student has done both math and english
=13/100 = 0.13
c) Only one means has done one subject and not both classes. We have 23 for math and 33 for english (this is according to your venn diagram)
23+33=56
one subject =56/100 = 0.56
C.
It’s a 3 dimensional object