answer in a b c or d format

Find the weighted average of the numbers 1 and 6, with weight four-fifths on the first number and one-fifth on the second number.
2
6.2
3
2.8
Question 2
(Multiple Choice Worth 1 Points)

Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (3, 5), F (6, 5), and G (9, 1). He has 22 units of fencing. Where could Alex place point H so that he does not have to buy more fencing?
(0, 0)
(−1, 0)
(0, −3)
(0, 3)
Question 3
(Multiple Choice Worth 1 Points)

Find the perimeter of the polygon. Round your answer to the nearest tenth.

Figure ABCDE is shown. A is at 2, 0. B is at negative 4, 5. C is at 4, 10. D is at 8, 7. E is at 4, 5.
32.1
35.8
37.6
39.2
Question 4
(Multiple Choice Worth 1 Points)

Find the area of the polygon.

Figure QRSTU is shown. Q is at 3, 0. R is at negative 3, 0. S is at negative 3, 7. T is at 1, 11. U is at 5, 7.
59 square units
65 square units
72 square units
83 square units
Question 5
(Multiple Choice Worth 1 Points)

Point B on a segment with endpoints A(1, −1) and C(3, 2) partitions the segment in a 1:3 ratio. Find B.
(0.5, 0.75)
(−0.25, 1.5)
(1.5, −0.25)
(0.75, 0.5)
Question 6
(Multiple Choice Worth 1 Points)

Which of the following fractions compares BC to BD?

coordinate plane with segment BD at B 0 comma 1 and D 5 comma 1; point C is on segment BD and 2 comma 1
two thirds
five halves
two fifths
three halves
Question 7
(Multiple Choice Worth 1 Points)

A student's course grades and their corresponding weights are given in the table.

Category Grade Earned Weight by Category
Attendance 100% 10%
Tests 70% 30%
Homework 80% 20%
Final Exam 40%

What is the minimum grade needed on the final exam to earn an overall grade of 85% in the class?
38%
84%
90%
95%
Question 8
(Multiple Choice Worth 1 Points)

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 6 units long. Point C is on the line x = −3. What is the y-value of point C if the area of ΔABC is 9 units squared?
5
6
7
8
Question 9
(Multiple Choice Worth 1 Points)

What point on the number line is one fifth of the way from the point 0 to the point −19?
−3.6
−3.8
−4
−9.5
Question 10
(Multiple Choice Worth 1 Points)

Alex is planning to surround his pool ABCD with a single line of tiles. How many units of tile will he need to surround his pool? Side AB measures 2.24 units. Diagonal BD measures 5 units. Round your answer to the nearest hundredth.

A coordinate plane with quadrilateral ABCD at A 0 comma 3, B 2 comma 4, C 4 comma 0, and D 2 comma negative 1. Angles A and C are right angles, the length of segment AB is 2 and 24 hundredths units, and the length of diagonal BD is 5 units.
8.96
10.48
13.42
20.42

1 answer

  1. a) 2
  2. b) (−1, 0)
  3. c) 37.6
  4. b) 65 square units
  5. c) (1.5, −0.25)
  6. a) two thirds
  7. c) 90%
  8. c) 7
  9. b) −3.8
  10. b) 10.48