Answer:
2
Step-by-step explanation:
3*(-2)to power of 2 + 5*-2
= 3*4 + 5*-2
= 12 + -10 = 2
Answer:
π/8 radians
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?
SOLUTION
✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.
Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)
Within the 1hour minutes, the hand can move with complete cycle of 2π radians
Then At time t= 45minutes
Angle through the circle at 45 minutes= 45/60 ×2π radians
= 3π/2 radians
And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians
For t=45 minutes
Then 1/12 × 2π ×45/60
= π/8 radians
Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.
Answer:
L = 15
Step-by-step explanation:
P = 2L + 2W
you know that P = 50, W=10
So you have to replace those values on the equation
50 = 2L + 2*(10) --> Replace P and W
50 = 2L + 20 --> Multiply and now you are going to separate the unknown and the constants.
Remember that if you send a constant to the other side of the equal the sign will change to its opposite
50 - 20 = 2L --> Solve the constants
30 = 2L --> Now for the L, you have to leave it alone, so the 2 that is multiplying you have to send it to the other side of the equal but with the opposite operation, the opposite operation of multiplying is dividing, so you have:
30/2 = L
L= 15
The person at the top is correct.
Answer:
Step-by-step explanation:
Multiply by 4
so x+3=8*4
x+3=32
-3. -3
x=29
