2x +8=2x+8
2x-2x=8-8
0x=0
So the answer is 0
Volume of the box is 204 in³
<u>Step-by-step explanation:</u>
Step 1:
Volume of the box = length × width × height
Length = 10 2/3 = 32/3 in,
width = 3 in and height = 6 3/8 = 51/8 in
⇒ Volume = 32/3 × 3 × 51/8 = 4 × 51 = 204 in³
9000 Step by Step Explanation
I just used a calaculator
If the inscribed square has sides of 8in, the diameter of the circle is equal to the diagonal of the square.
d^2=x^2+x^2
d^2=2x^2
d=√(2x^2)
Since d=2r, r=d/2 so
r=(1/2)√(2x^2)
r=√((2x^2)/4)
r=√(x^2/2), since x=8
r=√(64/2)
r=√32
r=√(16*2)
r=4√2 in (exact)
r≈5.66 in (to nearest hundredth of an inch)
Answer:
4.3%
Step-by-step explanation:
Write out the formula for simple interest:
i = p r t, where i is the interest earned, p is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.
Here, this i = p r t becomes
$645 = $3000*r*(5 yr).
This is equivalent to:
$645 = $15000r.
Solving for r by dividing both sides of this equation by $15000, we get
$645
r = ------------ = 0.043
$15000
Thus, the correct answer is the first one: 4.3%
