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3 years ago

Solve for Y 79=5y+14

Mathematics

2 answers:

vova2212 [387]3 years ago

7 0

Answer:

Y = 13

Step-by-step explanation:

To solve for Y, you must isolate the variable (Y), meaning get it by itself.

To start, you should get the 5y alone since it's the easiest way to start. To do this, subtract 14 from both sides. Once you do this, your equation should look like so: 65 = 5y

Now that you've gotten this far, the only way to detach the 5 from the y, you must divide by 5. Once you do that, your equation should look like this:

y = 13

Great job, you have now isolated your variable! Hopefully this was helpful.

NNADVOKAT [17]3 years ago

4 0

79=5y+14
65=5y Subtraction
13=y Division
y=13

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Consider the following numbers: 7000, 700, 70, 0.7, 0.07, 0.007

masya89 [10]

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3 years ago

Please help. How do you find cosine, sine, cosecant and secant with this triangle?

Veseljchak [2.6K]

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenuse
cosine (cos) = adjacent/hypotenuse
tangent (tan) = opposite/adjacent
cosecant (cosec/csc) = hypotenuse/opposite
secant (sec) = hypotenuse/adjacent
cotangent (cot) = adjacent/opposite
cosecant is the reciprocal of sine
secant is the reciprocal of cosine
cotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric Ratio
Adjacent = 12
Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²
100+144 = c²
244 = c²

Thus, the hypotenuse is:

$\large \boxed{c = 2 \sqrt{61} }$

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(2√61) = 6/√61 = (6√61) / 61
sine (sinθ) = opposite/hypotenuse = 10/(2√61) = 5/√61 = (5√61) / 61
cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (2√61/10) = √61/5
secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (2√61)/12 = √61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

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3 years ago

Find the difference between the points (6, -3) And (-5,-3)

Varvara68 [4.7K]

We can use the distance formula to find the distance between these points.

Distance formula: $\sqrt{(x.2 - x.1)^{2} + (y.2 - y.1)^{2}}$

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√121 = 11

The difference between the points is 11.

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3 years ago