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Vladimir79 [104]
3 years ago
5

Question Progress

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

60 ; - 40 ; 22 ; - 11

Step-by-step explanation:

Given that:

Number of questions = 20

Rules :

Every correct answer scores 3 points.

Each incorrect answer loses 2 points.

A question not answered scores 0 points.

It is possible to finish the quiz with a negative score.

a)

Maximum score : answering all questions correctly :

(3 points * 20 questions)

= 3 * 20

= 60 points

b)

Minimum score is obtainable by answering all questions incorrectly ;

(-2 points * 20)

= - 40 points

c)

10 correct answers = (3 * 10) = 30 points

(14 - 10) = 4 incorrect answers = (-2 * 4) = - 8 points

Net total = 30 + (-8) = 30 - 8 = 22 points

d) Another student answers 18 questions,

5 are correct. How many points does she score?

5 correct answers = (5 * 3) = 15 points

(18 - 5) incorrect answers = (13 * - 2) = - 26 points

Net total = 15 + (-26) = - 11 points

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Points N and R both lie on circle O. Line segment RQ is tangent to the circle at point R.
4vir4ik [10]

Answer:

15.0

Step-by-step explanation:

Let's start by looking at triangle ORQ. Since RQ is tangent to the circle, we know that angle ∠ORQ is 90°. Then, since OR is equivalent to the radius of 5, RQ is 5√3, and side OQ is clearly larger than RQ, we can identify this as a 90-60-30 degree triangle. This makes side OQ have a length of 10, and angle ∠QOR, opposite of the second largest side, has the second largest angle of 60°, leaving ∠OQR with an angle of 30°.

The formula for the chord length is 2r*sin(c/2), with c being the angle between the two points on the circle (in this case, ∠QOR=∠NOR).. Our radius is 5, so the length of chord NR is 2*5*sin(60/2)=5, making our answer 5(ON)+5(OR)+5(RN)

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4 years ago
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2) Simplify: 2a + 3b - 4a + 5c - 2b
bekas [8.4K]

Answer:

-2a+b+5c

Step-by-step explanation:

6 0
3 years ago
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Help I need step by step answer To the ones circled ASAP!!!!
swat32

Answer:

4. Multiply both sides by -2 => x - 7 = -36, Add 7 to both sides -> x = -29

5. Add 12 to both sides => 28 = 1/4x, then multiply both sides by 4 => 112

x = 112

7. Multiply both sides by 3 => 5x - 2 = 63, add 2 to both sides => 5x = 65,

Divide both sides by 5 -> x = 13

10. Multiply both sides by 6 => 132 = 3x - 6, Add 6 to both sides => 138 = 3x,

Divide both sides by 3 => x = 46

Step-by-step explanation:

3 0
3 years ago
What is the GCF of 2+18+40
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2 is the GCF of <span>2+18+40
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Which graph represents the solution to the given system? –4x + 2y = –11 and –2x + 2y = –15
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Step-by-step explanation:

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