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frez [133]
2 years ago
7

Sec0 = -

ign="absmiddle" class="latex-formula"> and cot0 < 0, find exact values of tan0 and sin0.
Mathematics
2 answers:
enot [183]2 years ago
8 0

Answer:

Solution given;

Sec θ=-\frac{13}{12}

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

\frac{1}{cosθ}=-\frac{13}{12}

cosθ=\frac{12}{13}

\frac{b}{h}=\frac{12}{13}

b=12

h=13

By using Pythagoras law

p=\sqrt{13²-12²}=5

Now

exact values of tan θ=\frac{p}{b}=\frac{5}{12}

since it lies in II quadrant

<u>tan θ</u><u>=</u><u>-</u>\frac{5}{12}

and

sinθ=\frac{p}{h}=\frac{5}{13}

since it lies in II quadrant

<u>sin</u><u> </u><u>θ</u><u>=</u>\frac{5}{13}

ziro4ka [17]2 years ago
3 0

Answer:

tan 0 = -2.4

sin 0 = 0.3846

Step-by-step explanation:

sec 0 = -13/12, and cot 0 < 0

the angle 0 is in quadrant II

sec 0 = -13/12 = cos 0 = -12/13 = x/r

=> y = √13²-12²=√169-144=√25=5

so,

tan 0 = y/x = -12/5 = -2.4

sin 0 = y/r = 5/13 = 0.3846

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Answer: the Jones family paid $164

Step-by-step explanation:

Let x represent the one time charge that smith lake boat rentals charge for cleaning.

The bengal family rented a boat from 11 am- 6:30pm and paid $226.50. This means that the number of hours for which they rented the boat is

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Therefore,

25 × 7.5 + x = 226.5

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x = 226.5 - 187.5

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The amount that they paid is

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2 years ago
Please help me solve this by substitution: <br> y=x+2<br> 3x+3y=6
VikaD [51]

Answer:

x = 0, y = 2

Step-by-step explanation:

  1. solve the equation for x

3x + 3(x + 2) = 6

2. Substitute the given value of x into the simplest equation y= x + 2

y = 0 + 2

3. Solve the equation for y

y= 2

4. The possible solution of the system is the ordered pair ( x, y)

( x, y) = ( 0, 2)

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Dr. Nefario put $5000 in the bank and left it there for 6 months. What simple interest rate would he need to have in order to ha
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Step-by-step explanation:

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Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6
Black_prince [1.1K]

Answer:

The correct option is (d)-He wrote commutative instead of associative in Step 2.

Step-by-step explanation:

Commutative property: a+b=b+a

Associative property: (a+b)+c=a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2. He wrote commutative instead of associative in Step 2.

Therefore, the correct option is (d)-He wrote commutative instead of associative in Step 2.

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Answer:

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