Answer: A
Step-by-step explanation: 3(1)+k =8 8-3=5
The choice which describes the solution is; The solution is 5, which represents the number of miles she runs each day.
<h3>Word problems</h3>
According to the task content;
- The total distance covered running and cycling per day is; 20miles
- Additionally, she cycles a total of 105 miles each week.
From the statement above; it follows that;
The number of miles she cycles per day since 7 days make a week is;
Hence, it follows that the equation; (15+r) = 20 represents the daily distance covered by cycling and running.
On this note, it follows that;
Hence, The solution is 5, which represents the number of miles she runs each day.
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Answer:
No
Step-by-step explanation:
Because 17 is greater than 5 + 9.
To form a triangle, no side can be equal or greater than the sum of the other 2 sides.
First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165
Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.
Answer:
θ = 2π/3 or 5π/3
Step-by-step explanation:
2 cosθ + 1= 0
when + 1 goes to R H S Side than it becomes negative by transposition method
2 cos = -1
now by dividing by 2 both sides we get
cosθ = -
since cosθ is negative
Cosθ = - cos 60°
it means either cosθ lies in 2nd or third quadrant
θ = π - π/3
or
θ = 2π- π/3
so θ = 2π/3 or 5π/3