If we have a basis of 2 units for the length of the side of the square,
then MV = NV = 1
Using pythagoeran theorem
MN = sqrt (MV^2 + NV^2)
MN = sqrt(2)
Therefore,
sin θ = 1 /√2
or
sin θ = √2 / 2
Answer: A. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
1
Simplify \frac{1}{2}\imath n(x+3)21ın(x+3) to \frac{\imath n(x+3)}{2}2ın(x+3)
\frac{\imath n(x+3)}{2}-\imath nx=02ın(x+3)−ınx=0
2
Add \imath nxınx to both sides
\frac{\imath n(x+3)}{2}=\imath nx2ın(x+3)=ınx
3
Multiply both sides by 22
\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2
4
Regroup terms
\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı
5
Cancel \imathı on both sides
n(x+3)=nx\times 2n(x+3)=nx×2
6
Divide both sides by nn
x+3=\frac{nx\times 2}{n}x+3=nnx×2
7
Subtract 33 from both sides
x=\frac{nx\times 2}{n}-3x=nnx×2−3
Hey there.
Considering our ratio from fruit to sugar is 2:3, this means we need to make a proportion. I will set this up below;
2:3 = 8:x; x is a variable substitute for our missing sugar value. Let's try to see if 2 divides into 8.
8 / 2 = 4; this means our scale factor of our ratio is 4x larger than the current value, so multiply 2 and 3 by 4 to solve for sugar.
2:3;
2 x 4 = 8; 8:x
3 x 4 = 12; 8:12.
12kg is the missing sugar value in our proportion; therefore, 12kg of sugar is used when 8kg of fruit is used.
I hope this helps!
Answer:
There are 253 ways to select 5 participants
Step-by-step explanation:
Total number of volunteers to try a new brand of tennis shoes = 10
Number of volunteers to be selected = 5
We are supposed to find number of ways the research group select 5 participants.
We will use combination:
Formula:
Substitute n = 10 and r = 5
So,
Hence There are 253 ways to select 5 participants
