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3 years ago

Can you help me solve the Missing Tangents? 7-15

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

You know from SOH CAH TOA that
.. tan(θ) = Opposite/Adjacent

Then the relations for any of these variables will be
.. Opposite = Adjacent * tan(θ)
.. Adjacent = Opposite / tan(θ)
.. θ = arctan(Opposite/Adjacent)

7. x is opposite.
.. x = (30 cm)*tan(26°) ≈ 14.63 cm

8, 9, 10, 14. x is opposite

11. x = arctan(30/60) ≈ 26.57°

12, 13, 15. x is the angle

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If h(x) = 5x - 3 and j(x) = -2x, solve hlj(2)] and select the correct answer below. (1 point)

BARSIC [14]

Answer:

-23

Step-by-step explanation:

We are given the functions;

h(x) = 5x - 3 and j(x) = -2x

Now, we want to find h[j(2)]

j(2) = -2(2)

j(2) = -4

Thus;

h(-4) = 5(-4) - 3

h(-4) = -20 - 3

h(-4) = - 23

4 0

3 years ago

20 POINTS!!! Determine the domain and range of the function

azamat

Domain is all Real Numbers and Range is from 0, but not including 0, to infinity. So it would be the first one

8 0

3 years ago

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The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche

joja [24]

Answer: The first student is correct

Step-by-step explanation:

If the length of rectangle is x-30=3-z then it must be true that 13 could be one of the answers

8 0

2 years ago

What is the sum of 1.9, 3.52 and .075

algol [13]

5.495.............................

6 0

2 years ago

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In a certain year, the average e-mail user sent or received 111 e-mails each day. The number of e-mails received was 3 more than

Ludmilka [50]

Answer:

Number of sent mail = 36

Number of received mail = 75

Step-by-step explanation:

Let,

x be the number of mails sent

y be the number of mails received

According to given statement;

x + y = 111 Eqn 1

y = 2x + 3 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

x + 2x + 3 = 111

3x = 111 - 3

3x = 108

Dividing both sides by 3

$\frac{3x}{3}=\frac{108}{3}\\x = 36$

Putting x = 36 in Eqn 2

y = 2(36) + 3

y = 72 + 3 = 75

Hence,

Number of sent mail = 36

Number of received mail = 75

7 0

2 years ago