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2 years ago

Find the value of x and round your answer to the nearest whole number

Mathematics

1 answer:

omeli [17]2 years ago

6 0

Answer:

Step-by-step explanation:

I will ASSUME that the units on 53 is angular degrees (53°) and that the internal angle below x is 90°

The drawing is certainly not to scale

sin53 = x / 49

x = 49sin53

x = 39.1331399...

x = 39 units (same units as 49)

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What is the area, in square centimeters, of the figure below? 2.4cm, 5.8cm

nirvana33 [79]

Answer:

13.92

Step-by-step explanation:

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3 years ago

Is this graph a function? why or why not.

Reil [10]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

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3 years ago

Read 2 more answers

You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to

Zielflug [23.3K]

Let x represent the speed of of boat.

We have been given that the river current is 3 miles per hour.

The speed of boat upstream will be $x-3$ .

The speed of boat downstream would be $x+3$ .

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

We have been given that you travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock.

We can represent this information in an equation as:

$\text{Time}=\frac{2}{x+3}+\frac{3}{x-3}$

Since the speed of the boat is 18 miles per hour, so we will substitute $x=18$ in above equation and solve for time.

$\text{Time}=\frac{2}{18+3}+\frac{3}{18-3}$

$\text{Time}=\frac{2}{21}+\frac{3}{15}$

$\text{Time}=\frac{2}{21}+\frac{1}{5}$

$\text{Time}=\frac{2\cdot 5}{21\cdot 5}+\frac{1\cdot 21}{5\cdot 21}$

$\text{Time}=\frac{10}{105}+\frac{21}{105}$

$\text{Time}=\frac{31}{105}$

$\text{Time}=0.295238095$

Since time is in hours, so let us convert our given time in minutes.

1 hour = 60 minutes.

$\text{Time}=0.295238095\times 60\text{ minutes}$

$\text{Time}=17.7142857\text{ minutes}$

Rounding to nearest tenth of minute.

$\text{Time}\approx 17.7\text{ minutes}$

Therefore, it will take approximately 17.7 minutes for the boat to take the trip.

3 0

2 years ago

What is the volume of the composite figure?

Vesnalui [34]

Just add it all together plus multiply

7 0

3 years ago

Suppose your new business made a profit during the first year of $3000. If the profit increased 12% per year, find the total of

mariarad [96]

Answer:

Therefore the total of all profit earned by the end of of the the first 5 years is $19,058.542.

Step-by-step explanation:

To find total profit earned per year, we need to use the compound growth formula.

The compound growth formula:

$A= P(1+r)^t$

A= Amount after t years

P= initial amount

r= rate of growth

t= time in year.

Given that,

New business made a profit during the first year of $3000.

If the profit increased 12% per year.

Here P= $3,000 and r =12%=0.12 , t=1 years

Plugging all value in the above formula:

$A=3000(1+0.12)^1$

=3000(1.12)

=$3360

Profit after 2 year is $3,360.

Now, P= $3,000 and r =12%=0.12 , t=3 years

$A=3000(1+0.12)^2$

=3000(1.12)²

=$3763.2

Similar the profit at 4 year is

$A=3000(1+0.12)^3$

=3000(1.12)³

=$4214.784

The profit at 5th year is

$A=3000(1+0.12)^4$

=3000(1.12)⁴

=$4720.558

Therefore the total of all profit earned by the end of of the the first 5 years is=$(3,000+3360+3763.2+4214.784+4720.558)

=$19,058.542

6 0

3 years ago