Answer:
$25 a lamp
Step-by-step explanation:
First divide $10,000 by 500 lamps to find how much one of them cost
That is $20 a lamp so then multiply .25 *20 or 1/4 *20
you get 5 than add 20 +5=25
Sin^5 x = <span>1/16 (10 sin(x) - 5 sin(3x) + sin(5x))</span>
Answer:
Step-by-step explanation:
There are two ways to go about solving this problem, depending on your available time and fluency with the topic:
Solve it “properly”, by graphing the inequalities yourself, then comparing your graph to the available options.
Use the test-taking strategies of “ruling out answers that are clearly wrong”, followed by “use enough of what you know about the problem to select the correct answer.
Let’s walk through both, since you should be able to do both, as this problem looks very much like a practice problem for a standardized Algebra 1 test.
So! To graph a linear inequality, the steps include graphing the line, determining what type of line, and determining how it’s shaded, though the order of these steps is only important if you’re doing math in pen, which is a terrible idea.
The first inequality:
This means it’s 6(3)^2. The PEMDAS process will help in this situation. Since exponents (E) come before multiplication (M), you would raise 3 to the 2nd power first. 3^2 is the same as 3 times 3, which equals 9. Now, you can multiple 6 by 9, which would result with 54. 54 is your answer!
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
