Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
You use the quadratic formula:
2x {}^{2} - 3x = 5
2x {}^{2} - 3x - 5 = 0
x = \frac{3 + - \sqrt{9 -4(2)( - 5)}}{2 \times 2}
x = \frac{3 + - \sqrt{49} }{4}
x = \frac{3 + 7}{4} \: and \: x = \frac{3 - 7}{4}
x = \frac{5}{2} \: and \: x = - 1
D is the correct answer
x+5=10: subtract 5 from both sides the 5 will cancel out leaving x=5
x+5=10
-5 -5
x=5
The wording of the question kinda doesn't make sense in some parts, but I'll try anyway. 1 plus 4 is 5, and since BC is 5, x is 1 for BC. -3 plus 14 is 11, so x is -3 for AB.
Answer:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
12−2(n−1)=−18
Step 1: Simplify both sides of the equation.
12−2(n−1)=−18
12+(−2)(n)+(−2)(−1)=−18(Distribute)
12+−2n+2=−18
(−2n)+(12+2)=−18(Combine Like Terms)
−2n+14=−18
−2n+14=−18
Step 2: Subtract 14 from both sides.
−2n+14−14=−18−14
−2n=−32
Step 3: Divide both sides by -2.
−2n
/−2 = −32
/−2
n=16
