The ratio opposite​/adjacent describes which function?

Calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height.

Calculating the volume of a rectangular prism is a straightforward process. A rectangular prism is a three-dimensional shape that has a length, width, and height. To find its volume, you simply multiply the length by the width by the height. The formula for calculating the volume of a rectangular prism is:
Volume = length x width x height
For example, if a rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm, its volume would be:
Volume = 5 cm x 4 cm x 3 cm
Volume = 60 cubic centimeters (cm³)
It's important to ensure that all measurements are in the same unit before calculating the volume. For instance, if the length is in meters and the width and height are in centimeters, you would need to convert the length to centimeters to ensure that all measurements are in the same unit before calculating the volume.
In conclusion, calculating the volume of a rectangular prism is a simple process that involves multiplying the length, width, and height. This formula can be used for any rectangular prism regardless of its size or shape.

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Answer: 26129.6

Step-by-step explanation:

6721 x 381 = 2560701

14 + 84 = 98

2560701  / 98 = 26129.6

Answer:

1/6 hour, or 10 minutes

Step-by-step explanation:

This is a subtraction problem.

1/2 - 1/3 =

We need a common denominator for 2 and 3. We can use 6.

= 1/2 * 3/3 - 1/3 * 2/2

= 3/6 - 2/6

= 1/6

Answer: 1/6 hours, or 10 minutes

Answer:

60 maths books

Step-by-step explanation:

Let the following be:

And we have ratios and sum:

From the ratios we get:

Considering the above in the sum of books:

Number of maths books:

Answer:

5< r or r>5

Step-by-step explanation:

-25 > -6r+5

-5            -5

-30> -6r

-30/-6< -6r/-6   when dividing a negative number, the symbol switches

5< r or r>5

Hope this helps!

Answer:

All are right except the 4th, 6th, 7th, and 8th

Step-by-step explanation:

I can explain in the comments, I don’t want you to run out of time :)

Answer:

D 0.89275

Step-by-step explanation:

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Answer: -4/3 < x< 1/2

Step-by-step explanation: inequality form

Answer:

D

Step-by-step explanation:

Difference of cubes is as follows

x^3-y^3=(x-y)(x^2+y^2+xy)

*notice how the sign in the origonal equation is the same for the first part but then flipped for the second*****

8 can be rewritten as 2^3 so we have

x^3-2^3 which means that we can use the template from before

(x-2)(x^2+2^2+2x)

simplify the 2^2 into 4 and put the variables in front to get

(x-2)(x^2+2x+4)

This is the same as D

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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Now we know PR∥QX , according to construction with transversal line TX.

∠PTS=∠QXS (Alternate angle)

In △PTS and △QSX

∠PTS=∠QXS (Alternate angle)

∠PST=∠QSX(vertically opposite angles)

PS=SQ(S is mid point of PQ)

△PTS≅△QSX(AAS rule)

So, TP=QX(CPCT)

As we know, TP=TR (T is midpoint)

Hence, TR=QX

Now, in quadrilateral TSQR

TS∥QR

Hence proved.

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The given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\)as we have multiplied 8 in both numerator and denominator.

The given expression is \(g^2/3h\).

Now, to further simplify the expression, we can multiply both numerator and denominator by 8. This gives us:

\((g^2/3h) * (8/8)\)

Simplifying further, we get:

\((8g^2)/(24h)\)

Therefore, the expression equivalent to \(g^2/3h\) is \((8g^2)/(24h)\).

Thus, the given expression \(g^2/3h\) is equivalent to the option (c) \(8g^2/24h\) as we have multiplied 8 in both numerator and denominator.

The numerator is the top part of a fraction, which represents the number of equal parts being considered. It is the value that is above the fraction bar and represents the quantity being divided into equal parts.

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The complete question is :

Which expression is equivalent to \(g^2/3h\)?

Click on the correct answer.

(A) \(g^2+5/3h+5\)

(B) \(6g^2/15h\)

(C) \(8g^2/24h\)

its c please mark me as a brainliest

Answer:

92.

Step-by-step explanation:

By proportion the mass of zinc = (345/ 15) * 4

= 92.

\(4(x + 1) = 5(x - 3) \\ 4x + 4 = 5x - 15 \\ 5x - 4x = 4 + 15 \\ x = 19\)

Answer:

626.71 cm^2

Step-by-step explanation:

Area of figure = area of half circle + Area of half circle + area of a rectangle

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

Answer:

\(7 \times 10^6\)

Step-by-step explanation:

\((5\times 10^6)+(2 \times 10^6)=(5+2) \times 10^6=7 \times 10^6\)

Answer: Nicky = 98 emails; David = 49 emails

Step-by-step explanation:

Let the number of emails received by Nicky be denoted by a.

Since we are informed that David gets half as many e-mails a day as his wife Nicky does. This can be written as: a/2

Number of number of emails received by Nicky = a

Number of number of emails received by David = a/2 = 0.5a

Together they have a total of 147 e-mails for today. This will be:

a + 0.5a = 147

1.5a = 147

Divide both side by 1.5

1.5a/1.5 = 147/1.5

a = 98

Nicky got 98 emails

David gets: a/2 = 98/2 = 49 emails.

Answer:

\(12+23i\)

Step-by-step explanation:

\((30−i)−(18+6i)+30i\)

\(30−i−18−6i+30i\)

\(12−i−6i+30i\)

\(12−7i+30i\)

\(12+23i\)

Step-by-step explanation:

35:12

40:17

45:22

50:27

55:32

The linear function which represents a slope of -3 as required in the task content is; A two column table with five rows. The first column, x, has the entries, negative 5, negative 1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8.

It follows that the task requires that a linear function whose slope, i.e rate of change is -2 is to be determined.

Since slope is the rate of change in y with respect to x;

The required linear function is; A two column table with five rows. The first column, x, has the entries, -5, -1, 3, 7. The second column, y, has the entries, 32, 24, 16, 8 so that we have;

Slope = (24 - 32) / (-1 -(-5)) = -8 / 4 = -2.

Remarks: The complete question is such that the required slope is -2.

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Answer: the second option

Step-by-step explanation:

i took the assignment

The correlation coefficient for the data is given as follows:

r = 0.53.

Hence there is an association between the variables that is positive and not strong.

The correlation coefficient is an index between -1 and 1 that measures the relationship between two variables, as follows:

The correlation coefficient is obtained inserting the points of a data-set into a correlation coefficient calculator.

From the table given at the end of the answer, the points are given as follows:

(43, 99), (21,65), (25, 79), (42, 75), (57, 87), (59, 81).

Inserting these points into a calculator, the equation is given as follows:

r = 0.53.

Meaning that the relationship between the variables is positive and not strong.

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Answer:

The answer is nothing

Step-by-step explanation:

There is nothing to explain

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The answer for it is diagram B because it does not cross or have parallel lines

what graph

whaaaaaaaaaaaaaaaaa

Answer:

B) $3.56

Step-by-step explanation:

The price of one egg: $1.69

The price of a slice of bacon: $1.49

The price of a glass of orange juice: $1.09

Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.

(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =

($3.38) + ($1.49) + ($1.09) = $5.96

Next, add the total gotten with the sales tax.

Sales tax: $0.48

$5.96 + 0.48 = $6.44

Then, subtract the total from the $10 that she used to pay:

$10 - 6.44 = $3.56

B) $3.56 is your answer.

~

Answer:

3.56

Step-by-step explanation:

because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add  0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!