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nikdorinn [45]
3 years ago
10

If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

Mathematics
1 answer:
sergey [27]3 years ago
6 0
Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
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I attached it just in case, my typing is confusing .
MakcuM [25]
It's C
first keep C in one side and other in other side of equation like this:
9c/5= F-32
now multiply both side by 5 or do cross multiplication
then it becomes
9c=5(F-32)
now divide both side by 9
c=5/9(F-32)
7 0
3 years ago
Please help!
Hatshy [7]

9514 1404 393

Answer:

  (a) x = 22

  (b) 46°

  (c) 44°

  (d) 180°

Step-by-step explanation:

Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.

<h3>(a) </h3>

The sum of the marked acute angles is 90°.

  2x +(3x -20) = 90

  5x = 110 . . . . . . . . . . add 20, collect terms

  x = 22 . . . . . . . . . divide by 5

__

<h3>(b) </h3>

∠CBA = (3x -20)° = (3·22 -20)° = 46°

__

<h3>(c)</h3>

∠CAB = 2x° = 2(22)° = 44°

__

<h3>(d)</h3>

The sum of a triangle's interior angles is 180°.

5 0
2 years ago
Read 2 more answers
If you roll a dice three times what is the probability of rolling an odd number each time
olasank [31]

Answer:

3/6

Step-by-step explanation:

there are 6 sides: 3 odd and 3 even numbers

if you need to find the probability of rolling an odd number, take the number of odd possibilities and form a fraction with the number of total sides, 6.

so, 3/6 Or 1/2

8 0
3 years ago
Read 2 more answers
What value of y would make {(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)} an inverse variation?​
love history [14]

Answer:

The value of "y" the would make the ordered pairs an inverse variation is;

y = 12

Step-by-step explanation:

The given ordered pairs are;

{(-2, 18), (3, y), (6, 6), (-18, 2), (4, 9)}

When a pair of variables, "x" and "y", vary inversely to one another, as the value of one variable increases, the value of the other variable decreases

Mathematically, we have;

y ∝ 1/x

The above relation can be represented as an equation as follows;

y = k/x

Where;

k = The constant of proportionality

Therefore, k = y·x

From the given ordered, we have;

k =  -2 × 18 = -36

k = 6 × 6 = 36

k = -18 × 2 = -36

k = 4 × 9 = 36

Therefore, the value of "k" is made constant as follows;

The inverse variation is y = k/(x × (-1)ⁿ)

Where;

n = The number of the term

Therefore, y = 36/(3 × (-1)²) = 12

y = 12

The given ordered pairs can therefore be written as follows;

{(-2, 18), (3, 12), (6, 6), (-18, 2), (4, 9)}.

7 0
2 years ago
The range of a relation is
Kruka [31]
The range of a relation is the possible output values, the y-values.
3 0
3 years ago
Read 2 more answers
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