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zepelin [54]
3 years ago
12

A boat travels 300 meters north from dock in an ocean. Because of the current, the boat is also carried 50 meters west as shown.

What is the distance from the boat to the dock, rounded to the nearest meter?
Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

112m

Step-by-step explanation:

Use formula:

c=\sqrt{a^{2} +b^{2}} \\a=100\\c=50\\c=\sqrt{100^{2} +50^{2}} = \sqrt{125000} = 111.80339

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1) Last Tuesday, Regal Cinemas sold a total of 85 movie tickets. Ticket sales totaled
irakobra [83]

In this question, some of the data is missing so its a complete question and the solution can be defined as follows:

\bold{\text{m = matinee tickets}} \\\\\bold{\text{s = student tickets}}\\\\\bold{\text{r = regular tickets}}

By given question, calculating equations are:

\to \bold{m + s + r = 8500}............................................(a)\\\\\to \bold{5m + 6s + 8.50r = 64600}............................(b)\\\\\to \bold{s = 2m}...................(c)

Putting the equation (c) value in the equation (a) to calculate value:

m + 2m + r = 8500\\\\3m + r = 8500\\\\r = 8500 - 3m........................................(d)

Putting equation (c) and (d) value into equation (b):

5m + 6(2m) + 8.50(8500 - 3m) = 64600\\\\5m + 12m + 72250 - 25.50m = 64600\\\\-8.50m = 64600 - 72250 \\\\-8.50m = -7650\\\\m = \frac{-7650}{-8.50}\\\\m = \frac{7650}{8.50}\\\\m = 900

Putting m value into equation (c) and equation (d) to calculate its value:

Calculating the s value:

\to s = 2(900) \\\\ \to s = 1800

Calculating the r value:

\to r = 8500 - 3(900) \\\\\to r = 8500 - 2700\\\\\to r = 5800\\\\

So, the final value of "m, s, and r" are "900, 1800, and 5800".

Learn more:

brainly.com/question/2929577

7 0
3 years ago
Please help! :))
denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. f(x)=mx+b

We have here the first function.

g(x)=3x

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\

A possible solution would be adjusting any of these, whose operation would result in g(x)=3x, but

Like

y=9(\frac{3x}{9}-2)+18 =3x

4 0
3 years ago
Jake says the 3 in 738 has a value of 3. He shows
NeX [460]
No because the 3 is the tens place. So its supposed to 3 ten blocks
3 0
3 years ago
Complete the factorization of 3r? – 10x + 8.
Sveta_85 [38]
Would you do inverse operation ?
5 0
3 years ago
Which of the following rational functions is graphed below?​
asambeis [7]

Answer:

B.

Step-by-step explanation:

According to the graph the function is defined for all real number except -3 and 7 (where the two red dashed vertical lines cross the x-axis)

so our function should be :

\frac{1}{(x-(-3))(x-7)} =\frac{1}{(x+3)(x-7)}

6 0
3 years ago
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