Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that 
where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, 
. Next, solve what is under the root to get, 
. Finally, square root 144 for the final answer b=12.
A, B and C working together will finish same piece of work in 10 days
A can do a piece of work in 20 days. That is A is doing the work at a rate of 1 / 20. Therefore
B = 1 / 30
C = 1 / 60
A, B and C working togehter their rate will be added together =
A + B + C = 1 / 20 + 1 / 30 + 1 / 60 = 1 / 10
so they can work together to finish same piece of work in 10 days
7/25 because you can divide everything. Y 3
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13
<h3>How to work with Pythagoras Theorem?</h3>
From the definitions of trigonometric ratios, we know that;
sin x = opposite leg/hypotenuse
cos y = adjacent leg/hypotenuse
From the Pythagorean theorem, we can find the hypotenuse as;
6² + 8² = hypotenuse²
The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13
Read more about Pythagoras Theorem at; brainly.com/question/27572671
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