Answer:
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
Step-by-step explanation:
we have
3/4 in
Verify each value
case A) 13/16 in
we know that
3/4 in=12/16 in ----> multiply by (4/4)
Find the difference
13/16-12/16=1/16 in
case B) 11/32 in
we know that
3/4 in=24/32 in ----> multiply by (8/8)
Find the difference
24/32-11/32==13/32 in
case C) 1/2 in
we know that
1/2 in=2/4 in ----> multiply by (2/2)
Find the difference
3/4-2/4=1/4 in
case D) 3/8 in
we know that
3/4 in=6/8 in ----> multiply by (2/2)
Find the difference
6/8-3/8=3/8 in
<em>Compare the values of the difference and find the less value</em>
we have
case A) 1/16=2/32 in
case B) 13/32 in
case C) 1/4=8/32 in
case D) 3/8=12/32 in
The less value is case A) 2/32 in
therefore
The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
So just add 2 1/2 = 2.5and 1 1/4= 1.25 and that will equal, 3.75 cups in other words that will equal 3 3/4.cups of sugar total.
In the first product the numerator of the fraction is greater than the denominator, therefore the fraction is greater than 1. On the other hand in the second product the numerator of the fraction is smaller than the denominator, therefore the fraction is smaller than one. That means the first product is greater than the second one.
