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AleksandrR [38]
3 years ago
11

If sinФ = 1/6 . what are the values of cosФ and tanФ? Show steps

Mathematics
2 answers:
Marianna [84]3 years ago
8 0

sinФ = 1/6

sinФ = opposite/hypotenuse

cosФ = adjacent/hypotenuse

tanФ = opposite/adjacent

SOHCAHTOA

1^(2)+b^(2)=6^(2)

1+b^(2)=36

b^(2)=35

\sqrt{35}

cosФ = \sqrt{35}/6

tanФ = 1/\sqrt{35} = \sqrt{35}/35

BartSMP [9]3 years ago
6 0

Answer:

Cos ø = √35/6

Tan ø = √35/35

Step-by-step explanation:

Sin ø = opposite/hypothenus

Sin ø = 1/6

Pythagoras theorem says

Hyp² = Opp² + Adj²

6² = 1² + A²

A² = 35

A = √35

Hence, cos ø = √35/6

tan ø = 1/√35 = √35/35

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The 6th term of a gp is -2/29,and it's first term is 18.what is the common ratio​
Ymorist [56]

Answer:

-0.329

Step-by-step explanation:

The formula for Geometric ratio is

an = ar^n - 1

Where

a = First term = 18

r = Common ratio = ?

n = Number of term= 6

Hence

a6 = 18 × r^6-1

From the question

a6 = -2/29

Hence:

-2/29 = 18 × r^6-1

-2/29 = 18 × r⁵

Divide both sides by 18

-2/29 ÷ 18 = 18 × r⁵/18

-2/29 × 1/18 = r⁵

r⁵ = -1/261

Take the fifth root of both sides

⁵√(r⁵) = ⁵√(-1/261)

r = -0.3286032834

Approximately = -0.329

Therefore, Common ratio = -0.329

7 0
3 years ago
Which numbers should replace the question marks?
slava [35]

The first missing number in the sequence is 35, and the last missing number is 77.

<h3>Next number of the given sequence</h3>

The two missing numbers in the given sequence is calculated as follows;

= ?    49     63    ?

The given sequence is factor 7 which increases by 2

= 7 x 5      7 x 7       7 x 9     7 x 11

= 35         49          63          77

Thus, the first missing number in the sequence is 35, and the last missing number is 77.

Learn more about sequence here: brainly.com/question/6561461

#SPJ1

7 0
2 years ago
Bly makes fleece scarves and sells them for $11 each. The supplies cost her $5 per scarf. Last month, Bly had a profit of $139.
seraphim [82]

Bly sold 29 scarves last month

<em><u>Solution:</u></em>

Let "x" be the number of scarves sold

Bly made 7 more scarves than she sold

Then, number of scarves made = x + 7

Bly makes fleece scarves and sells them for $11 each

Thus for selling "x" scraves , he will get 11x dollars

Total sales revenue = 11x

number of scarves made = x + 7

The supplies cost her $5 per scarf

Therefore, cost for scarves made = 5(x + 7)

Therefore,

profit = Total sales revenue - cost for scarves made

profit = 11x - 5(x + 7)

profit = 11x - 5x - 35

profit = 6x - 35

Last month, Bly had a profit of $139

139 = 6x - 35

6x = 174

x = 29

Thus Bly sold 29 scarves last month

5 0
3 years ago
Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer
Jlenok [28]
Shaun can read 20 pages in one hour

7 0
3 years ago
Read 2 more answers
2=ln(x+7) solve for x
maria [59]

Answer:

e^2 -7 = x

Step-by-step explanation:

2=ln(x+7)

Raise each side to the base of e

e^2 = e^ln (x+7)

The e^ln cancel

e^2 = x+7

Subtract 7 from each side

e^2 -7 = x +7-7

e^2 -7 = x

8 0
3 years ago
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