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mr_godi [17]
3 years ago
8

Consider angle θ in Quadrant ll, where cos θ= -12/13. what's the value of sin θ​

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Answer:

sinθ = 5/13

Step-by-step explanation:

cosθ​ = adjacent/hypotenuse (or you could think of it as x/r)

cosθ = -12/13

adjacent = -12

hypotenuse = 13

opposite = ?

To get the opposite, we use the Pythagorean theorem

hypotenuse^{2} = adjacent^{2}  + opposite^2

hypotenuse^{2} - adjacent^{2}  = opposite^2

\sqrt(hypotenuse^{2} - adjacent^{2})  = opposite

Now sub in the numbers:

\sqrt{(13^2 - (-12)^2)} = opposite

opposite = 5

Now sinθ = opposite/hypotenuse

so sinθ = 5/13

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2z -5(z +2) = -8 - 2z<br><br> Please explain!! Thank you
Korolek [52]

Follow PEMDAS.

You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.

so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.

Now you have the equation 2z-5z-18=-2z

Now combine like terms. 2z-5z= -3z

Now you have the equation -3z-18=-2z

Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z

Now you have -18= 1z

Now you divide. -18 divided by 1 is -18.

So your final answer will be -18=z

7 0
3 years ago
The Sugar Sweet Company is going to transport its sugar to market. It will cost $3375 to rent trucks, and it will cost an additi
Ksju [112]

Answer:

C = 125S + $3750

Step-by-step explanation:

$ 3750  = truck rental;   $125 per ton of sugar transported.  C is the cost;  S is the number of tons transported. The equation relating C to S would be a linear equation like y = mx + b. This equation would be graphed in the first quadrant only. You would start with your y-intercept at (0, 3750). As x increases by 1, your y increases by 125 yielding these points:

(1, 3875)  (2, 4000)  (3, 4125)  etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

5 0
3 years ago
A population of caribou in a forest grows at a rate of 5% every year. If there are currently 248 caribou, which function represe
ANEK [815]

Answer: I think that the answer is C because 5% is 5 out of 100 and 5 out of 100 as a decimal is 0.05 and you are trying to find how much the population will have increased so you have to multiply 248 by 5% or you have to multiply 248 by 0.05

Step-by-step explanation:

6 0
3 years ago
Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the
mamaluj [8]

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

5 0
3 years ago
Which set of side lengths does not form a right triangle
katrin2010 [14]

Answer: 14,15,29...................

3 0
3 years ago
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