Answer:
x=4
Step-by-step explanation:
Notice that the angle between side x and side 2 in the small right triangle on the left is the same angle between the sides x and (2+6 = 8) in the larger right angle triangle.
if we name the angle in question , then we have for the small triangle on the left, the following trigonometric relationship:
because in that small triangle, the side adjacent (<em>adj</em>) to angle is "2" and the hypotenuse (<em>hyp</em>) is "x" .
We can set some similar relationship for the larger triangle, which has a hypotenuse (<em>hyp</em>) of length (2+6 = 8), and that has for side adjacent (<em>adj</em>) to the angle side "x":
Now, we can make both expressions equal since they involve the same angle, and solve for "x" in the resultant formula:
therefore x is either "4" or "-4" to give 16 when squared.
We opt for the positive answer since we want a length.
The width of the rectangle as a function of its length is w = 55/l
<h3>How to find the area of a rectangle?</h3>
The formula for finding the area of a rectangle is expressed as:
A = lw
where
l is the length
w is the width of the rectangle
Given that A = 55 square inches, then;
55 = lw
w = 55/l
Hence the width of the rectangle as a function of its length is w = 55/l
Learn more on area of rectangle here; brainly.com/question/2607596
Answer:
The answer is the last one (32x^7y^15)
You can bring x to the second power (x^2) because (x) is basically x^1. This is a basic exponent rule. (x^m)^n = x^m times n.
Then you can apply this rule to (2xy^3)^5. First you bring two to the fifth power and get 32. Then you bring x^5 according to the rule. Then you bring y^15, also because of the rule.
Now you have:
x^2 times 32x^5y^15
Now you just multiply the like terms together (x^2 and x^5)
When you multiply two exponents with the same base, you add the exponents together: a^n times a^m = a^n+m.
So you end up with 32x^7y^15
Answer:
8 more pieces
Step-by-step explanation:
First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.
Hopefully this helps- let me know if you have any questions!
Answer:
10 as when you divide 40 percent of 25 you get 10 so it basically means 10 members attended the meetings on saturday.