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Stella [2.4K]
3 years ago
5

The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average

number of fish per cubic kilometer?
Mathematics
2 answers:
Svetach [21]3 years ago
8 0

Answer:

= 1.8 x 10^4\\ fish per cubic kilometer

Step-by-step explanation:

Given

Volume of Great Lakes = 3.5 x 10^3\\

Number of fish in the lake = 6.3 x 10^7\\

Average number of fish per cubic kilometer

\frac{6.3 x 10^7}{3.5 x 10^3}\\= 1.8 x 10^4\\ fish per cubic kilometer

Serjik [45]3 years ago
3 0
The answer is 1.8 x 10^4, which is B
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Answer:

\frac{1}{20}

Step-by-step explanation:

First, we need to look at the # of chips. There are a total of 25, 6 of which are blue.

This means that the chance of getting the first blue chip would be \frac{6}{25}

As there is no replacement, the total number of chips is 24 and there are only 5 blue left. This gives us the chance of \frac{5}{24}

Now all we need to do is mulitply these two and then simplify

\frac{6}{25} *\frac{5}{24} =\frac{30}{600} =\frac{1}{20}

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A survey asked 200 students to name their favorite fruit. The table shows the results of the survey. How many more students chos
Vikentia [17]

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

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2 years ago
A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri
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Answer:

Option D

Step-by-step explanation:

We have the following variable definitions:

sofas: x

pillows: y

Pillows come in pairs so we have 2y pillows

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x+2y

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Therefore the inequality is:

x+2y\ge4

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7 0
2 years ago
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Help with this question.
pychu [463]

Answer:

angleS=83^o

angleR=23^o

Step-by-step explanation:

<h3><u>The Law of Sines</u></h3>

The Law of Sines states that for a given triangle (in a plane), the ratio formed by the Sine of any one of the three interior angles and the side across from it is equal to a common number.

If a triangle is drawn in standard form, with the three vertices identified as A, B, and C, and the interior angles at each vertex simply identified as angleA, angleB, angleC, the sides across from those angles are identified as a, b, and c, respectively.  Given such a labeling for a triangle, the Law of Sines gives the following equation:

\frac{sin(angleA)}{a} =\frac{sin(angleB)}{b} =\frac{sin(angleC)}{c}

From the picture you presented, with triangle RST, side r is on the right and unlabeled, side s is shown in red, and side T is shown in green.  The interior angles for R and S are unlabeled, and angle T is defined as 74 degrees.  The Law of Sines would give the following relationship for your triangle:

\frac{sin(angleR)}{r} =\frac{sin(angleS)}{s} =\frac{sin(angleT)}{t}

Substituting known values...

\frac{sin(angleR)}{r} =\frac{sin(angleS)}{12.7ft} =\frac{sin(74^{o} )}{12.3ft}

It should be noted that without information about the length of side r, angle R cannot be found directly with the Law of Sines because that portion of the equation holds two unknowns.  However, if the other two angles of the triangle are known, angle R can be solved for by using the Triangle Sum Theorem.

<h3><u>Finding Angle S</u></h3>

Focusing in on the ratio with known values on the far right, and the ratio containing angleS first:

\frac{sin(angleS)}{12.7ft} =\frac{sin(74^{o} )}{12.3ft}

... multiplying both sides of the equation by 12.7 ft...

sin(angleS) =\frac{sin(74^{o} ) * 12.7ft}{12.3ft}

Note that the right side of the equation has units of feet in both the numerator and denominator (with no addition or subtraction), so the units will cancel.  Simplifying the right side of the equation by evaluating the expression in a calculator (make sure you're in "degree" mode), will yield a unit-less number:

sin(angleS) = .9925222389...

Undoing the sine function, and solving for the measure of angle S will require taking the "arcsin" of both sides of the equation...

arcsin(sin(angleS))=arcsin(0.9925222389...)\\angleS=arcsin(0.9925222389...)\\angleS=82.98876661...^o\\angleS=83^o<u />

<u />

<h3><u>Finding Angle R</u></h3>

Knowing both angleS and angleT, we can apply the Triangle Sum Theorem to solve for angle R.

Triangle Sum Theorem:  The sum of all 3 interior angles in a triangle (in a plane) is 180 degrees.

angleR+angleS+angleT=180^o\\angleR+83^o+74^o=180^o

Using the subtraction property of equality to isolate angleR and combining like terms...

angleR=180^o-83^o-74^o\\angleR=23^o

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otez555 [7]
Where is the image or graph that we are supposed to be solving?

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