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Vedmedyk [2.9K]
3 years ago
7

Express tan J as a fraction in simplest terms. J 34 K L 16

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

tanJ = 8/15

Step-by-step explanation:

find JK the adjacent side uisng th pythagorean theorem

a² + 16² = 34²

a² = 34² - 16²

a² = 900

a = 30

--------------------

tan = opp/adj

tanJ = 16/30

Reduce

tanJ = 8/15

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Mnenie [13.5K]

The correct option that shows the population of the research carried out by Matthew is;

<u><em>Option D; all the students attending the college</em></u>

<u><em></em></u>

  • We are told that Matthew wants to estimate the mean height of students attending his college.

  • Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.

        In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

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2 years ago
The horizontal position of a point
stira [4]

Ansienidq

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Step-by-step explanation:

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2 years ago
X^3 ÷ x^5<br> a)x^8<br> b)x^2<br> c)x^-8<br> d)x^-2
tatiyna

Answer:

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Step-by-step explanation:

7 0
3 years ago
Please help me. 5(m-7)=-8(3m+8)
inessss [21]

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

7 0
3 years ago
Convert 0.0150 km to meters and express the answer to the correct number of significant digits. a. 150 m b. 15 m c. 15.0 m d. 15
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The correct answer is option C which is 15 meters.

<h3>What is unit conversion?</h3>

Unit conversion is a multi-step process that entails multiplying or dividing by a numerical factor, selecting the correct number of significant digits, and then multiplying or dividing by another numerical factor.

The unit conversion will be done as:-

1 km  =  1000 meters

0.0150 Km = 0.0150 x 1000 meters

0.0150 Km = 15 meters

Therefore the correct answer is option C which is 15 meters.

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5 0
2 years ago
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