Answer:
x < 1/6
Step-by-step explanation:
In the equation 10 – 2(3x – 1) > 6x + 10, start by using the distributive property. Once you've done that, you'd now get 10-6x+2 > 6x+10.
Now, add 10 and 2 togther to get -6x+12 > 6x+10.
Subtract 6x to both sides and subtract 12 to both sides and now you'll get
-12x > -2.
Now, divide each side by -12 to get x < 2/12 or 1/6. Notice how the sign is flipped since you divided by a -.
Let the age of Junior be x,
age of grandpa schmidt = 7x + 9
7x + 9 = 75
7x = 66
x = 66/7
= 9.43 (to three significant figures)
Junior is 9.43 years old.
Answer:
"Haruto is correct because the angle is coterminal with 3pi/4 and the reference angle is pi/4."
Step-by-step explanation:
Coterminal angle:
Coterminal Angles are angles who share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.
Finding if 3pi/4 is coterminal with 19pi/4:
19pi/4
= 16pi/4 + 3pi/4
= 4pi + 3pi/4
= 2(2pi) + 3pi/4
= 2(360°) + 3pi/4
= 3pi/4
Hence they are coterminal.
Reference angle:
The smallest angle that the terminal side makes with x-axis.
3pi/4 falls in second quadrant.
In 2nd quadrant, reference angle is given as = pi - 3pi/4
reference angle = pi/4.
Answer:
35km
Step-by-step explanation:
1:500000
7:?
(cross multiply)
=3500000cm
1km=100000cm
3500000cm
<u>3</u><u>5</u><u>0</u><u>0</u><u>0</u><u>0</u><u>0</u><u>c</u><u>m</u><u>×</u><u>1</u><u>k</u><u>m</u>
100000cm
=35km