MATHEMATICS COLLEGE

How to solve for x in a triangle

Answers

Answer 1

Answer:

Answer:

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Step-by-step explanation:

180-(63+38)=9x-2

9x-2=79

9x=81

x=9

Answer 2

Answer:

Final answer:

To solve for x in a triangle, you can use known values or relationships among the sides and angles of the triangle. The Pythagorean theorem can help find the hypotenuse in a right triangle. Trigonometric functions can be used to solve for x once the values are known.

Explanation:

To solve for x in a triangle, we need to have known values or relationships among the sides and angles of the triangle. The given equation 0 = tan-¹ (A₂/Ax) can help us find one such relationship. Since this is a right triangle, we can use the Pythagorean theorem (x² + y² = h²) to find the hypotenuse. Once we have known values for the sides and angles of the triangle, we can use trigonometric functions like sine, cosine, and tangent to solve for x.

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Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562,

logb 3 ≈ 0.5646,
and
logb 5 ≈ 0.8271.
(Round your answer to four decimal places.)
㏒b(2b^3)

Answers

Final answer:

By using the properties of logarithms, namely ㏒b(a * c) = ㏒b(a) + ㏒b(c) and ㏒b(a^p) = p * ㏒b(a), we find the approximation of the logarithm ㏒b(2b^3) to be 3.3562.

Explanation:

To approximate the value of ㏒b(2b^3), we can use the properties of logarithms. The first one is that ㏒b(a * c) = ㏒b(a) + ㏒b(c), where a and c are the numbers we wish to find the logarithm of. We can apply this property to your given expression as follows:

㏒b(2b^3) = ㏒b(2) + ㏒b(b^3).

The second logarithmic property we need is that ㏒b(a^p) = p * ㏒b(a), where a is the base, and p is the exponent. We can apply this property to the second term on the right side:

㏒b(b^3) = 3 * ㏒b(b).
Since ㏒b(b) is equal to 1 (because b raised to the power of 1 is b), then our equation becomes:
㏒b(2b^3) = ㏒b(2) + 3.

Now, we can substitute the values given for ㏒b(2), which is 0.3562:

㏒b(2b^3) = 0.3562 + 3 = 3.3562.

So, approximating ㏒b(2b^3) to four decimal places, we get 3.3562.

Learn more about Logarithms here:

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que representa Laos hombres con relacion al total

PLEASE HELP, TY! WILL MARK BRAINLIEST!

Answers

Answer: y = 6

Step-by-step explanation:

The opposite sites of a parallelogram should be equal length. Therefore $7y = y + 36$ , so $6y = 36$ and thus $y = \boxed{6}$ .

A manufacturing company has two assembly lines, one with old equipment andone with new. The old assembly line generates products at a rate of 48 per hour,
the new one at 60 per hour. If both assembly lines are operating at the same
time, how long will it take them to create a total of 180 products?

Answers

Using unitary method, the manufacturing company will take 1 hour 40 minutes to create a total of 180 products.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of products generated by old assembly line in 60 minutes = 48

Number of products generated by old assembly line in 1 minute = 48/60 = 0.8

Number of products generated by new assembly line in 60 minutes = 60

Number of products generated by new assembly line in 1 minutes = 60/60 = 1

Total production in 1 minute = 1 + 0.8 = 1.8

Time taken to produce 180 products = 180/1.8 = 100 minutes = 1 hour 40 minutes

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Answer:

the first one would take 3 hours and 45 mins to make 180 by itself

the second one would take 3 hours to make 180 by its self