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3 years ago

Pls help 3.60 km 2.80 km 3.20 km 3.24 km

Mathematics

1 answer:

trapecia [35]3 years ago

8 0

Answer:

3.24 km

Step-by-step explanation:

Because the two triangles are similar, we can set the sides of as a proportion:

$\frac{TR}{QR} = \frac{ST}{PQ}$

Now, let's plug in the side lengths:

$\frac{1.25}{2.25} = \frac{1.80}{PQ}$

Lastly, Solve for PQ.

$\frac{1.25}{2.25} = \frac{1.80}{PQ}\\\\1.80*2.25 = 1.25*PQ\\\\4.05 = 1.25*PQ\\\\\frac{4.05}{1.25} = PQ\\\\3.24 = PQ$

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3 years ago

PLEASE HELP ME! Select the correct answer. Consider function g. Which function could be the inverse of function g?

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Answer:

A) k(x)

Step-by-step explanation:

An inverse function does the opposite to the function.

For example, if the function was "+2" then the inverse would be "-2", or if the function was "×2" the inverse would be "÷2".

An <u>inverse function</u> is a <u>reflection of the function in the line y = x</u>

Therefore (x, y) → (y, x)

(-8, 2) → (2, -8)

(-4, 3) → (3, -4)

(0, 4) → (4, 0)

(4, 5) → (5, 4)

(8, 6) → (6, 8)

Therefore, the function k(x) could be an inverse of function g(x).

8 0

2 years ago

I am so confused! Can anyone help me with this trig problem?

Dominik [7]

$\frac{5\pi }{4}$ or $\frac{7\pi }{4}$

divide both sides by 2

sinΘ = - $\frac{\sqrt{2} }{2}$

Since the sin ratio is negative then Θ is in third / fourth quadrants

Θ = $sin^{- 1}$ ( $\frac{\sqrt{2} }{2}$ ) = $\frac{\pi }{4}$ related acute angle

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3 years ago

A random sample of 70 printers discovered that 25 of them were being used in small businesses. find the 95% limit for the popula

kvasek [131]

Answer:

The sample proportion of printers used in small business is:

$\hat{p}=\frac{25}{70}=0.3571$

The 95% confidence interval for the population proportion of printers that are used in small businesses is:

$\hat{p} \pm z_{\frac{0.05}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

Where:

$z_{\frac{0.05}{2}}=1.96$ is the critical value at 0.05 significance level

$\therefore 0.3571 \pm 1.96 \sqrt{\frac{0.3571(1-0.3571)}{70} }$

$0.3571 \pm 0.1122$

$\left ( 0.3571 - 0.1122, 0.3571 + 0.1122 \right)$

$\left(0.245,0.469 \right)$

Therefore, the 95% confidence interval for the population proportion of printers that are used in small businesses is (0.245 , 0.469)

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3 years ago