Answer: x = √141
Step-by-step explanation: 22² + x² = 25² -> 484 + x² = 625
625 - 484 = 141
x² = 141
x = √141
60%... the rest of this is irrelevant it makes you write 20 characters
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula 
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations (
radians), the arc length traveled is 
Now, what angle is swept by the larger circle when it travels
? Put in
and r is 7 to find
:

** Since
radians is 180°, we plug in 180 into
and find the degree measure:

Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:

We know that the smaller circle makes 1 rotation and travels
, so in
distance, it makes:
Rotations = 
About 2.33 Rotations
Answer: 16 science problem and 26 math problems
Step-by-step explanation: First, subtract 10 from 42. When you do this, you get 32. Next, divide 32 in half. You'll get 16 for each. Finally, add 10 to one of the 16's and you'll get 26 and 16.
Answer:
-5
Step-by-step explanation:
-5x-12= 13 add 12 to both sides
-5x-12 + 12= 13 + 12 ➡ -5x = 25 divide both sides by 5
-5x ÷ 5 = 25 ÷ 5 ➡ -x = 5 and x = -5