Answer:
For question 1:
The length of hypotenuse expression =√(8^2+9^2)
For question 2:
The expression for length a is
a=√(15^2-4^2)
Step-by-step explanation:
For question 1:
The length of hypotenuse expression =√(8^2+9^2)
For question 2:
Then expression for length a is
a=√(15^2-4^2)
Answer:
The. angle is 72 and the supplement is 108
Step-by-step explanation:
Supplementary agnles are two angles with a sum of 180. So for example, two right angles would be supplementary.
Once again lets break this down by putting it into an equation. The supplement will be x. We know that 180 - x ( the supplement) will be equal to the angle but the angle is 2/3 the supplement.
Your equation should look like this x = 2/3 (180 - x).
Then we're going to multiply both sides by 3 to get 3x = 2 (180 - x)
You should distribute the 2 on the right side to then get 3x = 360 - 2x
You want to get x by itself but you can't make it just disappear because you need to keep your equation balanced. You're going to need to add 2x to both sides making your equation 5x = 360.
then you're going to divide 360 by 5 to get x = 72
subtract 72 (your angle) from 180 to get 108 which is your supplement.
If it's a bit confusing feel free to msg me and I'll do my best to explain it a bit better ^^;
Answer:
$440,000
Step-by-step explanation:
Direct material:
= $195,000 - $30,000
= $165,000
Direct labor:
= $150,000 - $40,000
= $110,000
Manufacturing overhead:
150% of direct labor cost.
= $110,000 x 150 ÷ 100
= $16,500,000 ÷ 100
= $165,000
Total manufacturing costs:
= $165,000 + $110,000 + $165,000
= $275,000 + $165,000
= $440,000
The total manufacturing costs added during the period is: <u>$440,000</u>
Answer:
Step-by-step explanation:
You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.
You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3
You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and
a^3 - b^3 = (a-b)(a^2 + ab + b^2)
If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.
