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2 years ago

Please help ASAP. Trigonometry

Mathematics

1 answer:

Contact [7]2 years ago

4 0

Answer:

cos(52°) = 18/x

x = 18·sec(52°)

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Cos = Adjacent/Hypotenuse

In this geometry, that means ...

cos(52°) = 18/x

You can use the relation sec(x) = 1/cos(x) to rewrite this as ...

x = 18·sec(52°)

_____

You can also use the complementary angle and the complementary trig function.

sin(90° -52°) = 18/x

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Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T

katrin2010 [14]

Let, total number of T-shirts are x.

Number of blue T-shirts = (2/3)x = 2x/3 .

Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .

Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .

Fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium = $\dfrac{2x/25}{x}$ = 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )

Hence, this is the required solution.

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3 years ago

Find the equation of the line perpendicular to the 13x-3y=9 and passing through (-5,0)

aev [14]

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Answer:

x +4y = -5

Step-by-step explanation:

The equation of the perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The new constant can be found by substituting the point values into the equation.

3x +12y = 3(-5) +12(0)

3x +12y = -15

We notice that all of the values include a factor of 3. We can divide that out to put the equation in standard form:

x + 4y = -5

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2 years ago

Fill in Sin, Cos, and tan ratio for angle x. <br> Sin X = 4/5 (28/35 simplified)

Fantom [35]

Answer:

Given: $\sin(x) = (4/5)$ .

Assuming that $0 < x < 90^{\circ}$ , $\cos(x) = (3/5)$ while $\tan(x) = (4/3)$ .

Step-by-step explanation:

By the Pythagorean identity $\sin^{2}(x) + \cos^{2}(x) = 1$ .

Assuming that $0 < x < 90^{\circ}$ , $0 < \cos(x) < 1$ .

Rearrange the Pythagorean identity to find an expression for $\cos(x)$ .

$\cos^{2}(x) = 1 - \sin^{2}(x)$ .

Given that $0 < \cos(x) < 1$ :

$\begin{aligned} &\cos(x) \\ &= \sqrt{1 - \sin^{2}(x)} \\ &= \sqrt{1 - \left(\frac{4}{5}\right)^{2}} \\ &= \sqrt{1 - \frac{16}{25}} \\ &= \frac{3}{5}\end{aligned}$ .

Hence, $\tan(x)$ would be:

$\begin{aligned}& \tan(x) \\ &= \frac{\sin(x)}{\cos(x)} \\ &= \frac{(4/5)}{(3/5)} \\ &= \frac{4}{3}\end{aligned}$ .

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2 years ago

Suppose you have a binomial distribution with n = 27 and p = 0.6. find p(8 ≤ x ≤ 11).

krek1111 [17]

The answer appears to be 3.335%

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3 years ago

Which order pair is a solution of this equation. 5x+y=-25

crimeas [40]

Answer:

(-5,0) or (0,-25) is another solution

Step-by-step explanation:

Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation.

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3 years ago

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