To represent the change in points, you can think of it in two ways:
1. You will go down 25 points for every wrong answer, so -25 + -25 + -25 would represent what is happening. They are all negative, so you keeping moving down in value.
2. You can also think of this as 3 groups of -25.
Both answers are -75. The answer is negative because the change was down in points.
-75 is the integer that represents this situation.
Answer:
1. 125
2. 25
3. 40
4. 39
First question:
(15-10)^2 + (15-5)^2
parentheses first to get 5^2 + (15-5)^2
exponents next to get 25 + (15-5)^2
parentheses again 25 + 10^2
exponents again 25 + 100 = 125
Second question:
simplify the exponents (3 *3) + (4 * 4) + (2 * 2) to get 9 + 16 + 4 = 29
Third question:
simplify in the parentheses 6 1/7 - 1/7 = 6
divide 60 by 6 to get 10
multiply 10 by 4 to get 40!
Fourth question:
simplify the fractions to get 1/3 + 8/3 = 3
multiply the 3 by 13 to get 39
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)
A quadrilateral trapezoid means that there are four sides to the trapezoid. But two of those sides (which are across from each other if you were to draw it out) are not parallel, meaning that if you were to continue the lines they start from, they would eventually cross. A parallelogram means that all opposite sides are parallel. Hope this helps you!! :)
Answer:
3,6,15,17,21
I hope this is good enough:
