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3 years ago

Suppose sin a = 12/13 and sin b= 5/11. FInd cos(a+b)

Mathematics

1 answer:

m_a_m_a [10]3 years ago

6 0

Answer:

1.28 or 912/715

Step-by-step explanation:

sine= opposite side/hypotenuse

cos=adjacent/ hypotenuse

sine a= 12/13 using the Pythagorean Theorem and solve for the missing side. (which is the adjacent side)

cos a = 5/13

Do the same for sine b

cos b= 9.8/11

add both the cosine value

(5/13)+(9.8/11)=1.28 or 912/715 in fraction form

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0.2x + (-0.9) + 1.7 = 9.6<br> 0.2x + 0.8 = 9.6

user100 [1]

Answer:44

Step-by-step explanation:

0.2x+(-0.9)+1.7==9.6

0.2x+0.8=9.6

Subtract 0.8 from both sides

0.2x+0.8-0.8=9.6-0.8

0.2x=8.8

Divide both sides by 0.2

0.2x ➗ 0.2=8.8 ➗ 0.2

x=44

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Lesechka [4]

Answer:

0.0005123

Step-by-step explanation:

The scientific notation 5.123e-4 is same as 5.123×10^-4 or 5.123×10-4. Thus, to get the answer to 5.123e-4 as a decimal, we multiply 5.123 by 10 to the power of -4.

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3 years ago

Demand for your tie-dyed T-shirts is given by the formula q = 510 − 90p0.5 where q is the number of T-shirts you can sell each m

telo118 [61]

Answer:

The demand will drop approximately 23 T-shirt per month.

Step-by-step explanation:

Consider the provided formula.

$q = 510-90p^{0.5}$

You currently sell T-shirts for $15 each and you raise your price by $2 per month,

That means p=$15 and $\frac{dp}{dt}=2$

We need to find how fast demand will drop.

So differentiate the above function with respect to time.

$\frac{dq}{dt} =0-45p^{0.5-1}\frac{dp}{dt}$

$\frac{dq}{dt} =-45p^{-0.5}\frac{dp}{dt}$

Substitute the respective values as shown:

$\frac{dq}{dt} =-45(15)^{-0.5}(2)$

$\frac{dq}{dt} \approx-23.24$

Hence, the demand will drop approximately 23 T-shirt per month.

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