Answer:
B
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract 1 from both sides )
sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )
cos²x - 1 = - sin²x
then
= 
← cancel sin²Θ on numerator and denominator
= 
= - 
Answer:
Step-by-step explanation:
1/4 of the sugar is remaining to make the cakes.
Divide 1/4 by 3 to figure out how much will be in each cake.
1/4 / 3/1 is equivalent to 1/4(1/3). When you do the multiplication of these fractions you will find that,
1/12 of the bag of sugar will go into each cake.
<span>1, 7, 23, 161 is what can go into 161</span>
Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.
So let's multiply each term by 100 to clear the decimals:
(100)0.25x + (100)0.35 = (100)(-0.29)
25x + 35 = -29
Now we can solve the equation as normal:
25x + 35 - 35 = -29 - 35
25x = -64
x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.
Let's look at one more:
1.75x + 4 = 6.2
We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.
(100)(1.75x) + (100)(4) = (100)(6.2)
175x + 400 = 620
We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:
175x + 400 - 400 = 620 - 400
175x = 220
x = 1.26
Step-by-step explanation:
Answer: Sensitivity Analysis. The notion of duality is one of the most important concepts in linear programming. Basically, associated with each linear programming problem (we may call it the primal. problem), defined by the constraint matrix A, the right-hand-side vector b, and the cost.
Step-by-step explanation:
