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vovikov84 [41]
3 years ago
8

Charles runs at a rate of 12 kilometers per hour. What is Charles' speed in meters per minute? A 12 meters per minute B 20 meter

s per minute C 120 meters per minute D 200 meters per minute
Mathematics
1 answer:
miss Akunina [59]3 years ago
5 0

Answer:not 100% sure but I thinks its c

Step-by-step explanation:

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If y varies inversely as x, and y = 10 when x = 20,<br> find x when y = 16.
Ipatiy [6.2K]

Answer:

12.5

Step-by-step explanation:

y varies inversely as x.

y = k/x

10 = k/20

200 = k

The constant proportion k is 200.

16 = 200/x

Cross multiply.

200 = 16x

200/16 = x

x = 12.5

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95.2

Step-by-step explanation:

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To find the measure of ∠A in ∆ABC, use the___(Pythagorean Theorem, Law of Sines, Law of Cosines). To find the length of side HI
nadya68 [22]

<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use

we know that

In the triangle ABC

Applying the law of sines

\frac{a}{sin\ A}=\frac{b}{sin\ B}=\frac{c}{sin\ C}

in this problem we have

\frac{a}{sin\ A}=\frac{b}{sin\ theta}\\ \\a*sin\ theta=b*sin\ A\\ \\ sin\ A=\frac{a*sin\ theta}{b} \\ \\ A=arc\ sin (\frac{a*sin\ theta}{b})

therefore

<u>the answer  Part 1) is</u>

Law of Sines

<u>Part 2) </u>To find the length of side HI in ∆HIG, use

we know that

In the triangle HIG

Applying the law of cosines

g^{2}=h^{2}+i^{2}-2*h*i*cos\ G

In this problem we have

g=HI

G=angle Beta

substitute

HI^{2}=h^{2}+i^{2}-2*h*i*cos\ Beta

HI=\sqrt{h^{2}+i^{2}-2*h*i*cos\ Beta}

therefore

<u>the answer Part 2) is</u>

Law of Cosines

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2 years ago
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Which of the following matches the graph of f (x) = 2(x + 1)2(x – 1)(x – 2)?
Phoenix [80]

The graph that matches the function f(x) = 2(x – 1)2(x + 1)(x + 2) is shown in the attached file

<h3>How to draw the graph of a Polynomial?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

We want to draw the graph of the function f(x) = 2(x – 1)2(x + 1)(x + 2). Using relevant coordinates input into the function and the generated output, the graph of the given function is as attached below.

Read more about Graph of polynomial at; brainly.com/question/14625910

#SPJ1

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