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3 years ago

17

Mathematics

2 answers:

Setler79 [48]3 years ago

7 0

Answer:

Step-by-step explanation:

Is their a 32.50d + 475? If not I don't know what the answer is because you have the same two things twice in a pattern.

klemol [59]3 years ago

7 0

Answer:

f(d) = 475 + 32.50d

Step-by-step explanation:

Cost of dinner = $32.50 per person
Rental fee = $475

<u>Total cost per d persons:</u>

f(d) = 475 + 32.50d

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If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ? sin Θ = square root 2 ov

densk [106]

Answer:

$\huge\boxed{\sin\theta=-\dfrac{\sqrt2}{2};\ \tan\theta=-1}$

Step-by-step explanation:

We have:

$\\cos\theta=\dfrac{\sqrt2}{2},\ \dfrac{3\pi}{2}$

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$\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x$

Substitute:

$\sin^2\theta=1-\left(\dfrac{\sqrt2}{2}\right)^2\\\\\sin^2\theta=1-\dfrac{(\sqrt2)^2}{2^2}\\\\\sin^2\theta=1-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4}{4}-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4-2}{4}\\\\\sin^2\theta=\dfrac{2}{4}\to\sin\theta=\pm\sqrt{\dfrac{2}{4}}\\\\\sin\theta=\pm\dfrac{\sqrt2}{\sqrt4}\\\\\sin\theta=\pm\dfrac{\sqrt2}{2}$

θ in IV quadrant, therefore sine is negative.

$\sin\theta=-\dfrac{\sqrt2}{2}$

For tangent use:

$\tan x=\dfrac{\sin x}{\cos x}$

Substitute:

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3 years ago

What's the volume of a triangular prism? (5cm, 8cm, 4cm)

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3 years ago

The function f(x) models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How man

andrey2020 [161]

Complete question is;

The function f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?

Answer:

227 units

Step-by-step explanation:

We are given the function;

f(x) = (25000 + 280x)/x

Where;

f(x) is the average cost per unit

x is the number of units

Now, we want to find out how many units the company must produce to have an average cost per unit of $390.

Thus, plugging $390 for f(x), we have;

390 = (25000 + 280x)/x

When we cross multiply, we get;

390x = 25000 + 280x

390x - 280x = 25000

110x = 25000

x = 25000/110

x ≈ 227

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3 years ago