Answer:
<h3>
m∠BAC = 80° </h3>
Step-by-step explanation:
m∠BCD = 145° ⇒ m∠BCA = 180° - 145° = 35°
From ΔABC:
m∠ABC + m∠BCA + m∠BAC = 180°
65° + 35° + m∠BAC = 180°
m∠BAC = 180° - 100°
m∠BAC = 80°
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°
If (x - 2) is a factor of 2x³ + x² - 3 then for the value of x = 2 the polynominal is equal zero.
Substitute:
2 · 2³ + 2² - 3 = 2 · 8 + 4 - 3 = 16 + 4 - 3 = 17 ≠ 0
Answer: B) (x - 2) is not a factor.
It can either be the negative sign of the number by the x so it should either be 2 or -
Answer:
<h2>D= 3.9 miles</h2>
Step-by-step explanation:
Given data
speed v= 13 miles per hour
time taken t= 20min to hour 0.3 hours
the distance D
We know that the relationship between speed, time, and distance
speed=distance/time
13=D/0.3
(the expression above describes the relationship between distance, speed, and time)
making D subject of formula we have
D= 0.3*13
D= 3.9 miles
hence the distance is 3.9miles