Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:
sin(30º) = h/34
0.5 = h/34
h = 17.
Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:
x = 24.
y is divided into two segments.
- The first is the adjacent to the angle of 30º, while the hypotenuse is 34.
- The second is adjacent to the angle of 45º, while the hypotenuse is 24.
Then:
Then, the value of y is given by:
.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
53
Step-by-step explanation:
Answer:
Each banana costs $0.33.
Step-by-step explanation:
This can be solved as a rule of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of bananas bought
- The total cost
As the number of bananas bought increases, the total cost will increase too, which means that our rule of three is direct.
3 banatas costs $1. We want to know how much costs each banana, so:
3 bananas - $1
1 banana - $x
3x = 1
x = 0.33
Each banana costs $0.33.
First you need to determine the defined range
(9x + 38) -
(x + 2) =
(81), x∈ (-2, + ∞)using the
(x) -
(y) =
(
), simplify the expression
(
) =
(81)
write the number in the second set of parenthesis in exponential form
(
) =
(9²)
using
(
) = x, simplify the expression
(
) = 2
the expression
(x) = b is equal to x =
= 7²
evaluate the power
= 49
multiply both sides of the equation by x + 2
9x + 38 = 49(x + 2)
distribute 49 through the parenthesis
9x + 38 = 49x + 98
move the variable to the left side and change its sign
9x - 49x + 38 = 98
move the constant to the right side and change its sign
9x - 49x = 98 - 39
collect the like terms
-40x = 98 - 38
subtract the numbers
-40x = 60
divide both sides of the equation by -40
x = -
, x ∈ (-2, + ∞)
finally,, check if the solution is in the defined range
x = -
this means that the correct answer to your question is x = -
let me know if you have any further questions
:)