Answer:
B
Step-by-step explanation:
sin(theta) = sqrt(1-cos^2(theta)
sin(theta)=sqrt(1-1/2)=sqrt(1/2)=sqrt(2)/2 but as theta is in IV quadrant, sin(theta) will be negative
Answer:
Twenty Pounds
Step-by-step explanation:
Equation #1:
30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)
Equation #2:
Lollipops Lbs + Caramel Lbs = 30 Lbs
<em>Rearrange expressions to solve for different variables</em>
EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)
EQ2: Lollipop Lbs = 30 - Caramel Lbs
<em>Substitute formula 1 into formula 2</em>
Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]
<em>Distribute divisor</em>
Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs
<em>Collect terms</em>
Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs
<em>Remove .8336 Lollipops from both sides of the equation</em>
.1364 Lollipop Lbs = 2.7273
<em>Divide both sides by .1364 </em> (Answer is 19.9949 which rounds to 20)
Lollipop Lbs = 20
PROOF:
30 = (20 x 0.95) + (10 x 1.10)
30 = 19 + 11
30 = 30 TRUE!
Answer =yes, the residuals would tend to be one sided
Answer:
No, Matt did not solve the equation correctly
Correct Answer: x = 8
Step-by-step explanation:
4(x + 2) = 30
Step 1: Distribute
4x + 2 = 30 
This is his mistake, he should completely distribute 4
to x and 2
Step 2: Subtract 2 from both sides/Isolate x
4x = 28 This part is done correctly, but wrong because of Step 1
Step 3: Divide both sides by 4
x = 7 This is correct, but again, he messed up on Step 1
<h3>
Let's find the correct answer to this equation:</h3><h3>4(x +2) = 30</h3>
Step 1: Distribute
Remember to distribute 4 to all terms in the parenthesis.
4(x + 2) = 4(x) + 4(2)
= 4x + 8
4x + 8 = 30
Step 2: Subtract 8 from both sides/Isolate x
Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides (opposite operation of adding 8)
4x + 8 = 30
4x = 30 - 8
4x = 32
Step 3: Divide both sides by 4/Isolate x
Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself
4x = 32
4(x) = 32
x = 32 ÷ 4
x = 8
-Chetan K
Answer: 7,5
Step-by-step explanation:
