What are 3 dimensional shapes?

Answer: 8x^3 - 18x^2 + 11x - 3

Distribute and combine like terms

The area of a rhombus with an angle measuring 30 degrees and sides measuring 9 inches, the answer will be 40.5 inches.

By using trigonometry,

Here, it is given that:

Side which is 's' is equal to 9 inches

Angle which is denoted as 'A' is equal to 30 degrees

Square of side s is equal to 9 × 9 = 81 inches

Area of rhombus, A = s² × sin (30°)

A = 81 × 1/2

A = 40.5 inches

A rhombus is a particular kind of parallelogram in geometry where two pairs of opposite sides are congruent. Accordingly, a rhombus has equal length on each side. Square and rhombus are frequently confused in students. The main distinction between a square and a rhombus is that a square has all internal angles that are right angles, whereas a rhombus does not.

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The value 0.5625 as a fraction is 9/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

.5625*100/100 = 9/16

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Answer:

514.2857142857

Step-by-step explanation:

14cm=0.14m

so,

no. of planks=72/0.14=514.2857142857

The single natural logarithm expression is ln(2). Therefore, correct answer is (a)

The expression in the form [tex]e^a=b[/tex] can also be written as In b = a  which is called as logarithmic expression.

Properties of Logarithms:

1. In (mn) = In m + In n

2. In [tex]a^m =[/tex] m In a

3. In [tex]e^a[/tex] = a.

The natural logarithm expression is:

4 + ln 2 - ln 4

Apply the product and quotient rule of natural logarithm:

4 + ln 2 - ln 4  = In (4 × 2/4)

Evaluate the quotient:

4 + ln 2 - ln 4  = In (2)

Hence, the single natural logarithm expression is ln(2).

The correct option is (a)

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Answer:

B: ln 4.

Step-by-step explanation:

The equation of line passes through the points (0, -3) and (4, -1) will be;

⇒ y = 1/2x - 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, -3) and (4, -1)

Now,

Since, The equation of line passes through the points (0, -3) and (4, -1).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-3)) / (4 - 0)

m = 2 / 4

m = 1/2

Thus, The equation of line with slope 1/2 is,

⇒ y - (-3) = 1/2 (x - 0)

⇒ y + 3 = 1/2x

⇒ y = 1/2x - 3

Therefore, The equation of line passes through the points ((0, -3) and

(4, -1) will be;

⇒ y = 1/2x - 3

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Answer:

Step-by-step explanation:

(a) If you face south and turn anti-clockwise to east, you'd have turned a right angle ( one 90° turn).

(b) If you turn clockwise from east to east again, you'd have completed a revolution or 360° (or 4 right angles)

(c) From west clockwise to south, you'd have turned 90° to north, another 90° to east and 90° to south making 3 right angles or 270°.

Hope these help! :)

Answer:

Can u pls type the question in??

The difference in the means is times the ranges. (19-9)/(24-7)=10/17 = 0.588235294, or slightly more than half a time the ranges of the two samples.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).

This means that the mean of the sun plants is more than half a time the range of the two samples larger than the mean of the shade plants.

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Answer: The fact of being correct and without any mistakes:

Step-by-step explanation: Hope this helps!

A cheetah could run 630 miles in 6 hours

Answer:

It can run 630 miles in 6 hours.

Step-by-step explanation:

If the cheetah can run 105 miles per hour

then,

in 6 hours, it can run 105*6 miles.

105*6= 630

Hope this helps.

The sum to infinity of the sequence is 96/13

Every term in a geometric sequence is obtained by multiplying the term before it by the same number. [tex]\mathrm{a_n= a_1 r^{n -1 }}[/tex] is the general term for it. The common ratio is denoted by the number r. Any term in the sequence can be used to find it by dividing it by the term before it.

Given the nth term of a geometric sequence expressed as:

Tn = Σ12(-5/8)ⁿ

The sum to infinity of the sequence is expressed as;

S∞ = a/1-r

where

a is the first term = 12

r is the common ratio = -5/8

Substitute

S∞ =  12/1-(-5/8)

S∞ = 12/1+5/8

S∞ = 12/(13/8)

S∞ =12 *8/13

S∞ = 96/13

Hence, the sum to infinity of the sequence is 96/13

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The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.

A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.

A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.

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--The question is incomplete, answering to the question below--

"How many reflectional symmetries does this figure have?

Enter your answer

___ reflectional symmetries

How many rotational symmetries does this figure have?

Enter your answer

___ rotational symmetries"

The value of  7/10 as a decimal is  0.7.

To convert 7/10 to a decimal, we need to divide the numerator (7) by the denominator (10). This can be done by long division or using a calculator.

When we divide 7 by 10, we get 0.7. Therefore, 7/10 as a decimal is 0.7.

In decimal form, 0.7 can be interpreted as 7 tenths, or 70 hundredths, or 700 thousandths, etc. It is a way of expressing a fraction as a decimal, which is a more convenient and commonly used way of writing numbers.

It's worth noting that 7/10 can also be written as a percentage, which would be 70%. This means that 7 out of 10 is equivalent to 70 out of 100, which is the same as 0.7 in decimal form.

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Answer:

248 feet

Step-by-step explanation:

Since each curtain is 48 inches long, or 4 feet long, Fabrizio will need:

62 curtains × 4 feet per curtain = 248 feet of fabric

Therefore, Fabrizio's curtain company will need 248 feet of fabric to make 62 curtains.

Answer:

248 feet...

Step-by-step explanation:

Each curtain is 48 inches long, which is 4 feet (since there are 12 inches in a foot). Therefore, 62 curtains will require:

62 curtains x 4 feet per curtain = 248 feet of fabric.

So Fabrizio's curtain company will need to purchase 248 feet of fabric from the store...

The missing sides of each pair of similar triangles are listed below:

Case 15: w = 5, x = 25 / 12, y = 65 / 12, z = 169 / 12

Case 16: x = 12, y = 6√3, z = 3√5

Case 17: x = 40 / 3, y = 32 / 3

Case 18: x = 5, y = 20, z = 10√3

In this problem we find four cases of pairs of similar triangles, whose missing sides can be found by means of proportion formulas and Pythagorean theorem. Now we proceed to determine the missing lengths for each length:

Case 15

w = √(13² - 12²)

w = 5

12 / w = w / x

w² = 12 · x

x = w² / 12

x = 5² / 12

x = 25 / 12

y = √[(25 / 12)² + 5²]

y = 65 / 12

z = 12 + x

z = 169 / 12

Case 16

6 / 3 = x / 6

x = 36 / 3

x = 12

y = √(x² - 6²)

y = √(12² - 6²)

y = 6√3

z = √(3² + 6²)

z = 3√5

Case 17

y / 8 = 8 / 6

y = 8² / 6

y = 64 / 6

y = 32 / 3

x = √(8² + y²)

x = √[8² + (32 / 3)²]

x = 40 / 3

Case 18

x = √[10² - (5√3)²]

x = 5

y = x + 15

y = 20

z = √[15² + (5√3)²]

z = 10√3

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Answer: x x x x x x x

Step-by-step explanation:

xxxxxxxxxxxxxxxxxx

The values of  x and y are

Figure (a)

From the question, we have the following parameters that can be used in our computation:

Parallel and congruent lines

This means that

5y - 8 = 2y + 1

So, we have

3y = 9

Divide

y = 3

Also, we have

1/5x + 3 = 4x - 35

So, we have

x + 15 = 20x - 175

This gives

19x = 190

x = 10

Figure (a)

Here, we have

1/3y - 6 = 66 - 2/3y

This gives

y - 18 = 198 - 2y

Evaluate

3y = 216

Divide

y = 72

For x, we have

1/4x + 5 = 1/2x - 7

So, we have

1/2x =+ 12

Evaluate

x = 24

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The cost of one taco at Terrific Tacos is $3.45. To calculate this, we can start by finding the total cost for all tacos purchased.

5 tacos purchased by Randy cost $17.25, and 7 tacos purchased by Jeff cost $24.15. This brings the total cost for all tacos to $41.40. Then, we can divide this total cost by the total number of tacos purchased (12) to get the cost of one taco:

To calculate this, it is important to remember that the total cost of both orders is the sum of Randy's cost and Jeff's cost. This is because both orders were placed at the same restaurant. Then, the total cost needs to be divided by the total number of tacos purchased by both customers. This gives the cost of one taco at Terrific Tacos.

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The value of x such that  the angles LFDE and LFDB are supplementary is:

17º

If LFDE and LFDB are supplementary, then their sum is 180°. Therefore, we can write an equation using this information:

m∡FDE + m∡LFDB = 180°

Substituting the given expressions for m∡FDE and m∡LFDB, we get:

(3x - 15)° + (5x + 59)° = 180°

Combining like terms and simplifying, we get:

8x + 44 = 180

Subtracting 44 from both sides of the equation, we get:

8x = 136

Dividing both sides of the equation by 8, we get:

x = 17

Therefore, the value of x that makes LFDE and LFDB supplementary is 17.

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To convert between pounds and kilogrammes, multiply the number of pounds by 0.45359237, and to do the opposite, multiply the number of kilogrammes by 2.20462.

65 kg is equal to 143.3003 lbs.

The fundamental mass unit in the metric system is the kilogramme (kg). A kilogramme and 1,000 cubic centimetres of water have fairly similar masses.

One pound is approximately equal to 454 grams. One kilogram is the same as 2.20462 lbs.

One pound is equal to 0.45359237 kilograms.

To convert kilograms (kg) to pounds (lbs), you can use the following formula:

To convert kilograms to pounds, multiply your figure by 2.20462

To convert 65 kg to lbs, you can multiply 65 by 2.20462:

65 kg X 2.20462 lbs/kg

= 143.3003 lbs

Therefore, 65 kg is approximately equal to 143.3003 lbs.

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The ordered pairs in f(x)=x^2-2x+3 and f(x)=-2x+19 are (√21, 24 - 2√21) and (-√21, 24 + 2√21)

To find the ordered pairs of the two functions, we need to solve the system of equations:

f(x) = x^2 - 2x + 3

f(x) = -2x + 19

We can set the two expressions for f(x) equal to each other:

x^2 - 2x + 3 = -2x + 19

Simplifying and rearranging, we get:

x^2 = 21

Taking the square root of both sides, we get:

x = ± √21

Therefore, there are two ordered pairs that satisfy both equations:

(√21, f(√21)) and (-√21, f(-√21))

To find the values of f(√21) and f(-√21), we can substitute the values of x into either equation. Let's use the first equation:

f(√21) = (√21)^2 - 2(√21) + 3 = 21 - 2√21 + 3 = 24 - 2√21

f(-√21) = (-√21)^2 - 2(-√21) + 3 = 21 + 2√21 + 3 = 24 + 2√21

Therefore, the two ordered pairs are:

(√21, 24 - 2√21) and (-√21, 24 + 2√21)

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The sample mean symbol is X bar, representing the average value of a sample, calculated by summing values and dividing by observations.

The sample mean image is addressed by (articulated "x-bar"). It is utilized to address the typical worth of an example of information, and is determined by adding every one of the qualities in the example and separating by the quantity of perceptions.

For instance, in the event that we have an example of 10 numbers {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, we can compute the example mean by including the entirety of the qualities and isolating by the all out number of perceptions:

X bar = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10)/10

X bar = 5.5

The sample mean is a normally involved measurement in inferential insights, where it is utilized to gauge the populace mean. It is likewise utilized in speculation testing, certainty stretches, and other measurable examinations.

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The school building is 36ft tall.

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC² = AB² + AC² in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Chris is 6 feet tall and he casts a shadow that is 5 feet long

He measures that the shadow cast by the school building is 30 feet long

We can say the ratios will be same  6/h = 5/30

h =6 × 6 = 36 ft

Hence the school building is 36ft tall.

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The conversion of 275 mm to inches is 10.8268 inches.

Millimeter (mm) and inch are both units of measurement used to express length or distance. Millimeter is a metric unit of length commonly used in the International System of Units (SI) and is equivalent to one-thousandth of a meter.

To convert 275 mm to inches, we can use the conversion factor of 1 inch = 25.4 mm.

So, we can divide 275 mm by 25.4 mm/inch to get the equivalent measurement in inches:

275 mm ÷ 25.4 mm/inch = 10.8268 inches (rounded to four decimal places)

Therefore, 275 mm is approximately equal to 10.8268 inches.

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Answer:

v = 32

Step-by-step explanation:

-12 = -3/8v

Divided by -3/8, both sides

v = 32

Let's check

-12 = -3/8(32)

-12 = -12

So, v = 32 is the correct answer.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry and in the given parallelogram the required value of x is 3 units.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.

A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

In a parallelogram, the diagonals are split in half while the opposite sides are equal.

In a rhombus, all four sides are equal and the diagonals intersect at 90 degrees.

So, a parallelogram's diagonals cut each other in half.

Hence, WC = CY.

This is:

2x + 5 = 3x + 2

Take away 2x from each side:

5 = 3x - 2x + 2

5 = x + 2

Take away from both sides:

5 - 2 = x + 2 - 2

3 = x

Therefore, in the given parallelogram the required value of x is 3 units.

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Correct question:

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

Answer:

1 fluid oz = 29.5735 milliliters

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 fluid ounce, it is equivalent to 29.5735 milliliters.

Answer:

Add parentheses ( ) to make the equation true:

11 x 6 ÷ (8 + 3) = 6

Solve for y

4y + (16 - 7) = 25

y = 4

9 x (8 - 5)

= 27

3. {[3 x (9 + 7)] - 8}

Sorry, can't figure this one out.

5. Mable saved $10 of her lemonade stand money. She then made 7 times as much as the money she had saved. Mable's friend gave her $12. How much money does Mable now have in all?

Mable has $82 all together.

Step-by-step explanation:

You're welcome.