Answer:
1. AB is a diameter. (False)
2. ST, SP and SQ are radii. (True)
3. SQ = 12 cm. (False)
4. PQ is 12 cm. (True)
Step-by-step explanation:
1. AB is not a diameter because a diameter must pass through the center of the circle.
2. ST, SP and SQ are radii because they all meet at the center of the circle.
3. SQ is not equal to 12 cm. SQ is equal to 6 cm because it is a radius.
4. PQ is equal to 12 cm because it is a diameter. Radius = 6 cm. Diameter = 2 × radius = 2 × 6 cm = 12 cm
Answer:
$2.40
Step-by-step explanation:
If we know it is $1.08 to make 18 copies. We can do the math to find the rate of 1 copy. This would be by doing 1.08/18=0.06. So, it costs $0.06 to make 1 copy. Now, multiply that by 40 copies 0.06x40=2.40. The cost of 40 copies is $2.40.
Answer:
26 minutes on the bicycle
Step-by-step explanation:
Let t and b represent the number of minutes on the treadmill and bicycle, respectively. The problem statement tells us two ways to relate these values.
t + b = 60 . . . . . Amy exercises a total of 60 minutes (1 hour)
9t +6.5b = 475 . . . . . she burns a total of 475 calories
Since we want to find the value of "b", we can use the first equation to write an expression that will substitute for t.
t = 60 -b
9(60 -b) +6.5b = 475
540 -2.5b = 475 . . . . . . simpify
-2.5b = -65 . . . . . . . . . . subtract 540
b = 26 . . . . . . . . . . . . . . . divide by -2.5 (equivalently, multiply by -2/5)
Amy spends 26 minutes exercising on the bicycle.
Answer:
19.1 miles
Step-by-step explanation:
The situation given represents a right triangle.
Thus, we would use trigonometric function to find how far north the boat travelled.
Let's represent how far the boat travelled north with "x".
Thus:
Reference angle = 23°
Opposite = x
Adjacent = 45 miles
Apply TOA:
Tan 23° = Opp/Adj
Tan 23° = x/45
Multiply both sides by 45
45 × Tan 23° = x
x = 45 × Tan 23°
x = 19.1013667
x = 19.1 miles (nearest tenth of a mile)
Answer:
<h2>C. 70°</h2>
- The measure of angle <em><u>COD</u></em>
Step-by-step explanation:
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