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Amanda [17]
3 years ago
5

Find cos x and cos y! Please help me out! You don’t need to answer all just what you can :)

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

7. cos(X) = 3/5 = 0.6

cos(Y) = 4/5 = 0.8

8. cos(X) = 15/17 ≈ 0.8824

cos(Y) = 8/17 ≈ 0.4706

9. cos(X) = 1/2 = 0.5

cos(Y) = (√3)/2 ≈ 0.8660

Step-by-step explanation:

The trigonometric ratio for cosine is given as follows;

Cos(\theta) = \dfrac{Adjacent\, side \, to\,  angle}{Hypothenus\, side \, length \ of\, the \  triangle}

7. The adjacent leg length to ∠X = 27

The length of the hypotenuse side of the triangle = 45

∴ cos(X) = 27/45 = 3/5 = 0.6

Cos(X) = 3/5 = 0.6

The adjacent leg length to ∠Y = 36

∴ cos(Y) = 36/45 = 4/5 = 0.8

cos(Y) = 4/5 = 0.8

8. The adjacent leg length to ∠X = 15

The length of the hypotenuse side of the triangle = 17

∴ cos(X) = 15/17 ≈ 0.8824

The adjacent leg length to ∠Y = 8

∴ cos(Y) = 8/17 ≈ 0.4706

9. The adjacent leg length to ∠X = 13

The length of the hypotenuse side of the triangle = 26

∴ cos(X) = 13/26 = 1/2 = 0.5

Cos(X) = 1/2 = 0.5

The adjacent leg length to ∠Y = 13·√3

∴ cos(Y) = 13·√3/26 = (√3)/2 ≈ 0.8660

cos(Y) = (√3)/2 ≈ 0.8660.

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Solve the logarithmic equation. Round the answers to the nearest hundredth. 6+In x=8
ahrayia [7]

Answer:

7.39 ( nearest hundredth )

Step-by-step explanation:

Using the rule of logarithms

log_{b} = n ⇔ x = b^{n}

Note that ln x represents log_{e} x

given 6 + ln x = 8 ( subtract 6 from both sides )

ln x = 2 ⇒ x = e^{2} ≈ 7.39


7 0
3 years ago
Plzzz help i am ineeeddeddeedeededed of it!!!
Vikentia [17]
Sallys statement is always true
for example:
-6 + 2 = -4
but if I turn it around
2 - 6 = -4
same answer

-6 -6 = -12
swap around -6 - 6 = 12
same answer

again -3 + 6 = 3
and 6 - 3 = 3
6 0
3 years ago
I desperately need help !
Lorico [155]

Answer:

t = 9.57

Step-by-step explanation:

We can use trig functions to solve for the t

Recall the 3 main trig ratios

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent.

( note hypotenuse = longest side , opposite = side opposite of angle and adjacent = other side )

We are given an angle as well as its opposite side length ( which has a measure of 18 ) and we need to find its adjacent "t"

When dealing with the opposite and adjacent we use trig ratio tan.

Tan = opp / adj

angle measure = 62 , opposite side length = 18 and adjacent = t

Tan(62) = 18/t

we now solve for t

Tan(62) = 18/t

multiply both sides by t

Tan(62)t = 18

divide both sides by tan(62)

t = 18/tan(62)

t = 9.57

And we are done!

3 0
2 years ago
Read 2 more answers
Can somebody please help me with this question
Zanzabum

Answer:

B

Step-by-step explanation:

6 0
3 years ago
The circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma
andreev551 [17]

The maximum error in the calculated surface area is 24.19cm² and the relative error is 0.0132.

Given that the circumference of a sphere is 76cm and error is 0.5cm.

The formula of the surface area of a sphere is A=4πr².

Differentiate both sides with respect to r and get

dA÷dr=2×4πr

dA÷dr=8πr

dA=8πr×dr

The circumference of a sphere is C=2πr.

From above the find the value of r is

r=C÷(2π)

By using the error in circumference relation to error in radius by:

Differentiate both sides with respect to r as

dr÷dr=dC÷(2πdr)

1=dC÷(2πdr)

dr=dC÷(2π)

The maximum error in surface area is simplified as:

Substitute the value of dr in dA as

dA=8πr×(dC÷(2π))

Cancel π from both numerator and denominator and simplify it

dA=4rdC

Substitute the value of r=C÷(2π) in above and get

dA=4dC×(C÷2π)

dA=(2CdC)÷π

Here, C=76cm and dC=0.5cm.

Substitute this in above as

dA=(2×76×0.5)÷π

dA=76÷π

dA=24.19cm².

Find relative error as the relative error is between the value of the Area and the maximum error, therefore:

\begin{aligned}\frac{dA}{A}&=\frac{8\pi rdr}{4\pi r^2}\\ \frac{dA}{A}&=\frac{2dr}{r}\end

As above its found that r=C÷(2π) and r=dC÷(2π).

Substitute this in the above

\begin{aligned}\frac{dA}{A}&=\frac{\frac{2dC}{2\pi}}{\frac{C}{2\pi}}\\ &=\frac{2dC}{C}\\ &=\frac{2\times 0.5}{76}\\ &=0.0132\end

Hence, the maximum error in the calculated surface area with the circumference of a sphere was measured to be 76 cm with a possible error of 0.5 cm is 24.19cm² and the relative error is 0.0132.

Learn about relative error from here brainly.com/question/13106593

#SPJ4

3 0
2 years ago
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