In order to understand this question, one needs to understand the construction first. After creating POQ, Meg picks a radius r and makes a circle around O. There are 2 points where the circle meets the triangle. Then, she meets another radius and she makes a circle of radius s around each of the points on the triangle. The two circles cross at one point, as can be seen in the figure. Let's name the first two points A and B and let's name the last point S. We have that for the triangles OAS, OBS we have OA=OB=r, BS=AS=s and that OS is common to both. Thus by the S-S-S triangle equality theorem, the triangles are equal. Hence for the angles AOS=BOS, namely POS=QOS. Since POQ=POS+QOS, we have that POS has to be half of POQ. The only consistent choice is the third one, POS=20 degrees and POQ=40 degrees.
Answer:
Step-by-step explanation:
The diagram consists of different boxes if the same sizes. Each box is a square with sides measuring 1 cm. The area of each box would be
1 × 1 = 1cm^2
The area of the parallelogram is the total number of squares that it contains. To determine this, the first step is to count the total number of complete squares. Looking at the diagram, there are 11 complete squares. This means
11 × 1 = 11 square units.
The next step is to count the number of incomplete squares and divide by 2. The number of incomplete squares are 8
8/2 = 4
4 × 1 = 4 square units
The area of the parallelogram would be
11 + 4 = 15 square units
Answer:
A. There is a focus at (-9, 1).
D. There is a directrix at x = -5.8.
F. There is a directrix at x = -2.2.
Step-by-step explanation:
Just did it in edg
1. B. The retail price would be the purchase price plus the markup.
So p+.40p = 1.40 p = 1.4 p. (p is really 1 p)
C. You would multiply: 1.4(56) = $78,40
D. You could multiply .4p = .4(56). OR subtract: 78.40-56 = $22.40
2. Done
3. 10(.35) = $3.50 —— 10+3.50=$13.50
4. 40(.25) = $10 ———- 40+10=$50
5 Done
6. $30.50/30% markdown 30.50(.30) = $9.15; 30.50-9.15= $21.35
7. $105/75% markdown 105(.75) = 78.75; 105-78.75= $26.25
8. $325/15% markdown 325(.15) = 48.75; 325-48.75= $276.25
9. C/40%markup Total retail:.40c + c = 1.40C
Answer:
<u>The equal monthly payment during 48 hours for buying a car is US$ 187.82</u>
Step-by-step explanation:
Loan from the bank to buy a car = US$ 9.015.20
Period of time to pay back the loan = 48 months
Form of payment = Equal monthly payments
Monthly payment = Loan from the bank / Period of time
Monthly payment = 9,015.20 / 48
<u>Monthly payment = US$ 187.82 (rounding to the nearest cent)</u>
<u>Each equal monthly payment during 48 months is US$ 187.82</u>
