Answer:
π
Step-by-step explanation:
Solve for x on the interval [0, 2pi]
Given the equation
Sinx = cosx + 1
Square both sides of the equation
Sin²x = (cos x + 1)²
Sin²x = cos²x + 2cos x + 1
Since Sin²x = 1 - cos²x
1 - cos²x = cos²x + 2cos x + 1
Collect like terms
1-1-cos²x-cos²x-2cos x = 0
-2cos²x-2cos x = 0
-2cos²x = 2cos x
-cosx = 1
cos x = -1
x = arccos -1
x = 180 degrees
<em>Hence the value of x = π</em>
Answer:
$32
Step-by-step explanation:
27 was how much money Taylor had after buying a salad that was worth 5 dollars.
Money before buying the salad is 27+5 = 32.
Answer:
Antonyms. achromatic exhale spiny-finned fish extinguish hypopigmentation. Etymology.
Step-by-step explanation:
none but google
We have been given that the speed of elephants is 5km/h east and his speed is 41km/h west.
We have to find after how long will he be 13km from the herd.
Since the biologist is going to the west and the elephants towards east, their relative speed will be calculated by adding their respective speeds.
So final their relative speed will be:
= 5 km/h + 41 km/h
= 46 km/h
Now we want their distance to be 13 km and we have calculated relative speed as 46 km/h.
So using formula :
Speed = Distance / Time,
We calculate time as :
= Distance / Speed
= 13 / 46
= 0.28 hours
= 16.8 minutes.
So after 16.8 minutes, biologist will be 13 km away from the herd.
If an angle is 167 degrees, it is an obtuse angle because, it's greater than a 90 degree angle. (right angle) Let me give you some details on why 167 degrees is an obtuse angle. You probably don't remember from your math classes in the past but, when they give you an angle value and they want to know if it's either a right angle, an acute angle, or an obtuse angle, you figure it out by doing these steps:
1. You take a protractor (it's kinda like a ruler, but it measures angles) and measure the angle given to find out the size of it in degrees.
2. Once you have the measured the angle and found the angle's size in degrees, ask yourself whether it's greater than 90 or less than 90.
You want to ask yourself whether the angle measurement you found is greater than 90 or less than 90 because, if the size of the angle is exactly 90 degrees, than the angle you measured is a right angle.
Now if the angle is greater than 90 (91 and Higher), then you know the angle is an obtuse angle. Which means by process of emulation, that if the angle you found is less than 90 (1-89), than the angle is an acute angle.
And that's why a 167 degree angle is an obtuse angle
Did that help you with your question or do you need just a little bit more understanding?
