Calculate the volume of a book with the following dimensions

Answer:

I think its $76

Step-by-step explanation:

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Take into account that triangles FGH and GKJ are similar. Then, you can write the following equivalence between the lengths of similar sides:

where,

GH = ?

GK = 6

FG = 7 + 4 = 11

JG = 4

Solve for GH, replace the values of the other parameters and simplify:

Now, take into account that:

GH = GK + KH

Solve for KH, replace the values of GH and GK and simplify:

Hence, the lngth of KH is 10 1/2

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

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Step-by-step explanation: Well to begin, you take 15$ and multiply it by 4, since he wants to buy 4 of those tickets, which is 60$. Then, take the 10$ and multiply it by 2 since he wants 2 of those tickets, which is 20$, you then apply 10% to 60 and 20 by taking 10 percent of 60, then adding  it to 60 once have that, which is 66, you take the 3% and find 3% of 66, then add the answer of that to 66, which is 67.98$, you then do the same thing to the 20$.

Sorry if this didnt help, im sure it didnt because im a very bad explainer, but i tried..

Answer:

57°

Step-by-step explanation:

Vertical angels are congruent.  They have the same measurements.

Answer:

57

Step-by-step explanation:

<PQS and <RQN are vertical angles and thus are congruent by the Vertical Angles Theorem. If m<PQS = 57, then m<RQN = 57.

Answer:

There are 12 blocks in the bottom layer

Step-by-step explanation:

We see from the diagram that in the bottom layer,

length = 3 cm

width = 4 cm

And that there are 3 blocks for the 3 cm length,

Hence each block has a length of 1 cm (the 3 then make up 3 cm)

And there are 4 blocks for the 4 cm width

Hence the width is also 1 cm (4 of these make up 4 cm width)

Now, to find the total number of blocks,

we just multiply the length and width,

so, (3)(4) = 12

so there are 12 blocks in the bottom layer

A is 4

B is 1

C is 5

D is 6

E is 2

F is 3

Answer:

I think you're missing some basic operations... but i'd love to help you so if you could let me know what the operations are I'd love to help :)

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

508/72=49

127/18=49

127=884

Answer: 32.14   after round off it will be 32

Step-by-step explanation:

This is how to round 32.14 to the nearest whole number. In other words, this is how to round 32.14 to the nearest integer.

32.14 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 32

Fractional Part: 14

Our goal is to round it so we only have an integer part using the following rules:

If the first digit in the fractional part of 32.14 is less than 5 then we simply remove the fractional part to get the answer.

If the first digit in the fractional part of 32.14 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.

The first digit in the fractional part is 1 and 1 is less than 5. Therefore, we simply remove the fractional part to get 32.14 rounded to the nearest whole number as:

32

The value of the composite function (f + g)(-2) is 24

The functions are given as

f(x) = x² - 3x

g(x) = 6 - x³

The composite function definition is given as

(f + g)(-2)

This composite function is calculated using the following composite function formula

(f + g)(x) = f(x) + (g(x)

So, we have:

(f + g)(x) = x² - 3x + 6 - x³

Substitute the known values in the above equation

i.e. replace x with -2

So, we have the following equation

(f + g)(-2) = (-2)² - 3(-2) + 6 - (-2)³

Evaluate the expression

(f + g)(-2) = 24

Hence, the composite function (f + g)(-2) is 24

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Answer:

the surface area of the rectangular prism is 572cm².

Step-by-step explanation:

The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:

2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²

So the surface area of the rectangular prism is 572 square centimeters.

Answer:

Sides = Scalene triangle

Angle = Right triangle

Step-by-step explanation:

A scalene triangle is a triangle where none of the sides are equal.

A right triangle is a triangle that has at least one right angle.

I hope this helps

Answer:

Step-by-step explanation:

this is hard maybe ask your mom

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

(f-g)=3x-7

Step-by-step explanation:

First find f-g

4x-3 - x+4

This becomes 3x-7

Answer:

-0.22222222 is the answer in decimal form.

Answer:

1) 5m

2) 0.25tan

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer:

A

Step-by-step explanation:

Answer:

just use photo math on your phone or tablet bro

Step-by-step explanation:

download it on the app store

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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The dimensions of the given condition that is height and radius of the given cylinder is height = 3.8264 cm and radius = 1.9132 cm .

Define dimensions in terms of mathematics:

In mathematics, a dimension refers to the number of coordinates or variables needed to specify a point or object in a particular space. The concept of dimension is used to describe the size, shape, and structure of mathematical objects such as vectors, matrices, functions, and geometric shapes.

For example, a point in a two-dimensional space can be described by two coordinates (x,y), while a point in a three-dimensional space requires three coordinates (x,y,z). Similarly, a line in two-dimensional space requires two dimensions to be described, and a plane in three-dimensional space requires three dimensions.

What about cylindrical shape:

A cylindrical shape is a three-dimensional geometric shape that has a circular base at each end and a curved surface connecting the two bases. It is a type of prism, specifically one with a circular cross-section. The shape is named after the word "cylinder," which refers to a solid object with these properties.

The two circular bases of a cylindrical shape are parallel to each other and have the same size and shape. The curved surface that connects the two bases is perpendicular to the bases, and it is a lateral surface that forms a cylinder.

According to the given information:

Recall, that, the total surface area of closed cylinder with radius r and height h cm is

S = \(2\pi r(r+h)\)

And the volume of the cylinder is V  = \(\pi r^{2} h\)

But the volume of the cylinder is V = \(44cm^{3}\)

It follow that,

44 =\(\pi r^{2} h\)

\(h =\) \(\frac{44}{\pi ^{2} }\)

Plug h = \(\frac{44}{\pi ^{2} }\)

S = \(2\pi r(r+h)\)

S = \(2\pi r^{2} + \frac{88}{r}\)

It is clear that for max or min to set \(S^{''}\)= 0

Diff. on both side w.r.t

⇒ \(S^{'} (r) = 2\pi (2r) - \frac{88}{r^{2} }\)

For, max or min to set \(S^{'} = 0\)

\(4\pi r - \frac{88}{r^{2} } = 0\)

\(4\pi r^{2} = 88 \\\\r^{3} = \frac{22}{\pi }\)

It follows that,

\(r = (\frac{22}{\pi } )^{1/3}\)

r = 1.9132 cm

By putting the value of r = 1.9132cm

We get h = 3.8264cm

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Answer:

\( \frac{60}{7} \)

Based on the concept of fraction, the 8 4/7 as an improper fraction is written as 60/7

Improper fraction is a mathematical term that is used to describe the type of fraction where the numerator is greater than or equal to the denominator.

For example, 6/2 and 9/5, are improper fractions.

In this case, to convert 8 4/7 into an improper fraction we need to multiply the whole number (8) by the denominator of the fraction (7) and then add the numerator (4).

8 * 7 = 56

56 + 4 = 60

Therefore, in this case, it is concluded that 8 4/7 as an improper fraction is 60/7.

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The heights and locations of the three peaks in this activity are: Peak 1 is 4,064 meters (13,320 feet) and located in Ladakh, India; Peak 2 is 8,848 meters (29,029 feet) and located in Nepal; and Peak 3 is 8,611 meters (28,251 feet) and located in Pakistan.

Peak 1: Height: 4,064 m (13,320 ft), Location: Ladakh, India

Peak 2: Height: 8,848 m (29,029 ft), Location: Nepal

Peak 3: Height: 8,611 m (28,251 ft), Location: Pakistan

Peak 1: Height: 4,064 m (13,320 ft), Location: Ladakh, India

This means that the height of Peak 1 is 4,064 meters (13,320 feet) and it is located in Ladakh, India.

Peak 2: Height: 8,848 m (29,029 ft), Location: Nepal

This means that the height of Peak 2 is 8,848 meters (29,029 feet) and it is located in Nepal.

Peak 3: Height: 8,611 m (28,251 ft), Location: Pakistan

This means that the height of Peak 3 is 8,611 meters (28,251 feet) and it is located in Pakistan.

The heights and locations of the three peaks in this activity are: Peak 1 is 4,064 meters (13,320 feet) and located in Ladakh, India; Peak 2 is 8,848 meters (29,029 feet) and located in Nepal; and Peak 3 is 8,611 meters (28,251 feet) and located in Pakistan.

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The number of bins in the histogram determines the width of the bins and

the frequency (number of members) in a bin.

Given:

The table from  Gretchen's data is presented as follows;

\(\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]\)

The required number of bins = 8 bins

The steps to create the histogram using MS Excel;

The histogram of Gretchen's data having eight bins created with MS Excel is attached.

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Answer: you should copy and paste the numbers on the table under Gretchen's data in the order that is given into the data set, then you can apply it and it will appear on your graph.

The required answer are :

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Given that, suppose one card is drawn at random from a standard deck.

To find the odds in favor of drawing a spade, we need to determine the number of favorable outcomes (spades) and the number of unfavorable outcomes (non-spades).

In a standard deck of 52 cards, there are 13 spades (A♠, 2♠, 3♠, ..., 10♠, J♠, Q♠, K♠) and 39 non-spades (all other cards).

The odds in favor of drawing a spade can be expressed as the ratio of favorable outcomes to unfavorable outcomes. Therefore, the odds in favor of drawing a spade are:

Favorable outcomes: 13 Unfavorable outcomes: 39

Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

(b) To find the odds against drawing a five, we need to determine the number of favorable outcomes (non-fives) and the number of unfavorable outcomes (fives).

In a standard deck of 52 cards, there are 48 non-fives (all cards except 5♠, 5♥, 5♦, and 5♣) and 4 fives (5♠, 5♥, 5♦, and 5♣).

The odds against drawing a five can be expressed as the ratio of unfavorable outcomes to favorable outcomes.

Therefore, the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

Hence, the answer are:

a. Odds in favor of drawing a spade: 13:39 or simplified as 1:3.

b.the odds against drawing a five are:

Favorable outcomes: 4 Unfavorable outcomes: 48

Odds against drawing a five: 48:4 or simplified as 12:1.

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