The correct answer is 14.2 lb which is choice D.
Let:
F = minimum force required to prevent ball from rolling down the ramp
The formula will be:
F = w * sin theta
F = w * sin (39 degrees)
F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)
Answer:
Male=21 Female=14
Step-by-step explanation:
So the problem would be (f)+(f+7)=35
first you would subtract 7 from 35
Now you have (f)+(f)=28 or 2f=28
Then you divide both sides by two
f=14
and since we know there is 7 more males then the answer is
m=21
Answer:
y = x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
y = x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y = x + 3 ← equation of parallel line
In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>