Answer:
Step-by-step explanation:
1) the triangle is right, so we can use the Pythagorean theorem
x^2 + 24^2 = (16+x)^2
x^2 + 576 = x^2 + 256 + 32x
32x = 320
x = 10
2) the two segment are congruent, so
7x - 13 = 9x - 23
2x = 10
x = 5
A) Linear velocity, v = ωr ω = Angular velocity, r = radius.
<span>ω = 5 revolutions per minute. 1 minute = (1/60) hour. </span>
<span>= 5*2π radians / (1/60) hour = 600π radians per hour π = 3.14 </span>
= 600*3.14 = 1884 radians / hour
<span>but radius, r = 10 feet, 5280 feet = 1 mile, 10 feet = (10/5280) mile </span>
Linear velocity, v = ωr
<span> v = 1884 radians / hour * (10/5280) mile </span>
v ≈ 3.568 miles / hour<span />
the roots are and
Step-by-step explanation:
here we use Shridhar acharya formula
if a + bx +c = 0 is the quadratic equation
the the roots are , and
comparing with the equation we get a=1 b= -7 c = -3
hence the roots are and
= and
Hi!
We will solve this using ratios, like this:
6 inches wide are x yards wide
8 inches long are 20 yards long
______________________________
x = (20*6)/8
x = 120/8
x = 15
The actual house is 15 yards wide.
Hope this helps!