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Svet_ta [14]
4 years ago
13

If sin θ = 3 over 7 and tan θ < 0, what is the value of cos θ? (1 point)

Mathematics
1 answer:
Bad White [126]4 years ago
6 0
Answer:

<span>−<span>45</span></span>

<span><span>
</span></span>

Explanation:

Since <span><span>tan<span>(θ)</span></span>=<span>34</span>>0</span> and <span><span>sin<span>(θ)</span></span><0</span>, θ is in quadrant 3 (since <span><span>tan<span>(θ)</span></span>>0</span> iff θ is in quadrant 1 or 3 and <span><span>sin<span>(θ)</span></span><0</span> iff θ is in quadrant 3 or 4).


<span>cos<span>(θ)</span></span> must then be negative.

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A part selected for testing is equally likely to have been produced on any one of six cutting tools.
JulijaS [17]

Answer:

a)S= (1,2,3,4,5,6)

b) 1/6 or 16.67%

c) 1/3 or 33.33%

d) 5/6 or 83.33%

Step-by-step explanation:

a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6

b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it

1/6 or 16.7%

c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%

d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its

1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%

8 0
3 years ago
A luxury resort is offering an incentive discount. If you book your room six months in advance, you will save 15% off the price
Anna [14]

Answer:the total discounted cost for your stay is $1948.2

Step-by-step explanation:

If you book your room six months in advance, you will save 15% off the price of the room. You decide to take advantage of the offer and book a room for 6 nights. If the original price per night for the room is $382, this means that the value of the discount would be

15/100 × 382 = 0.15 × 382 = $57.3

The cost of the room for a night would be

382 - 57.3 = $324.7

Since you are staying for six nights,

the total discounted cost for your stay would be

324.7 × 6 = $1948.2

8 0
3 years ago
64% of 75 tiles it is percent pls help me
Ainat [17]
64% of 75 tiles is 48 tiles

because 0.64x75=48
3 0
4 years ago
What is y=-2/3 x + 4 in standard form?
maxonik [38]

Answer:

2x + 3y = 12

Step-by-step explanation:

Standard form is Ax + By = C, A, B and C must be intergers, cannot be  fractions or decimals

y = -2/3x + 4 First we want to get rid of  the fractions.  There is only one, so if we multiply both sides by 3 that should do it.

3y = -2x + 12 Now make the constant be on one side by itself

2x + 3y = 12

5 0
3 years ago
Read 2 more answers
What is 3.8 repeating as a fraction in simplest form
Olin [163]
\bf 3.8888888\overline{8}\\\\&#10;-------------------------------\\\\&#10;x=3.8888888\overline{8}\qquad thus\qquad &#10;\begin{array}{llcll}&#10;10x&=&38.888888\overline{8}\\&#10;&&\downarrow \\&#10;&&35+3.8888888\overline{8}\\&#10;&&\downarrow \\&#10;&&35+x&#10;\end{array}&#10;\\\\\\&#10;10x=35+x\implies 9x=35\implies x=\cfrac{35}{9}

the idea being, you multiply the "x" by some power of 10 that moves the repeating part to the left of the decimal point and the split it like above.
6 0
3 years ago
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