Manuel was laying in the floor kitchen. The room measured 12 feet in length and 8 feet on width. What is the area of the kitchen floor.

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

Subtracting 7 from both sides gives you ...

  |x| < -3

The absolute value cannot be negative. There is no solution.

Answer:

\(\sf 1. \quad \dfrac{3}{8}\)

\(\sf 2. \quad \dfrac{7}{24}\)

Step-by-step explanation:

Spinner 1 is divided into 6 congruent sections.

There are 3 red sections, 2 blue sections and 1 yellow section.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_1)=\dfrac{3}{6}=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_1)=\dfrac{2}{6}=\dfrac{1}{3}\)

    \(\bullet \quad \sf P(Y_1)=\dfrac{1}{6}\)

Spinner 2 is divided into 3 sections of differing sizes.

The red section is half of the spinner. The blue and yellow sections are quarters of the spinner.

Therefore, the probability of spinning each of the three colors is:

    \(\bullet \quad \sf P(R_2)=\dfrac{1}{2}\)

    \(\bullet \quad \sf P(B_2)=\dfrac{1}{4}\)

    \(\bullet \quad \sf P(Y_2)=\dfrac{1}{4}\)

If each spinner is spun once, then:

The probability that both spinners both show red is:

\(\sf P(R_1)\;and\;P(R_2)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}\)

The probability that both spinners both show blue is:

\(\sf P(B_1)\;and\;P(B_2)=\dfrac{1}{3} \times \dfrac{1}{4}=\dfrac{1}{12}\)

The probability that both spinners both show yellow is:

\(\sf P(Y_1)\;and\;P(Y_2)=\dfrac{1}{6} \times \dfrac{1}{4}=\dfrac{1}{24}\)

Therefore, the probability that both spinners show the same colour is:

\(\sf P(R_1\;\&\;R_2)\;or\;P(B_1\;\&\;B_2)\;or\;P(Y_1\;\&\;Y_2)=\dfrac{1}{4}+\dfrac{1}{12}+\dfrac{1}{24}=\dfrac{9}{24}=\dfrac{3}{8}\)

If each spinner is spun once, the probability of getting a red from spinner 1 and a blue from spinner 2 is:

\(\sf P(R_1)\;and\;P(B_2)=\dfrac{1}{2} \times \dfrac{1}{4}=\dfrac{1}{8}\)

The probability of getting a blue from spinner 1 and a red from spinner 2 is:

\(\sf P(B_1)\;and\;P(R_2)=\dfrac{1}{3} \times \dfrac{1}{2}=\dfrac{1}{6}\)

Therefore, the probability of getting a red-blue combination is:

\(\sf P(R_1\;\&\;B_2)\;or\;P(B_1\;\&\;R_2)=\dfrac{1}{8}+\dfrac{1}{6}=\dfrac{7}{24}\)

The reference angles of -320 is 40 degrees and the reference angle of 19π/12 is 5π/12

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

Angle = -320

The reference angle is caculated as

Reference = 360 + Angle

So, we have

Reference = 360 - 320

Evaluate

Reference = 40

For the other angle, we have

θ = 19π/12

The above angle is in the fourth quadrant

So, we subtract it from 2π to calculate the reference angle

Using the above as a guide, we have the following:

Reference angle = 2π - 19π/12

Evaluate the difference

Reference angle = 5π/12

Hence, the reference angle is 5π/12

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Answer:

The answer is a fish tank

Step-by-step explanation:

Answer:

A fish tank

Explain:

A glass of milk is about 0.0625 gal

A salt container is about 0.03125 gal

And a eyedropper holds 0.00026417205235815 gal

Answer:

x = 8, m2 = 78, m4 = 102, m6 = 78, m7 = 78,

Step-by-step explanation:

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

25:1

Step-by-step explanation:

I hope this helps!

Answer:

2:6

Step-by-step explanation:

fist eufhuh rhbgr ncv u;hkjfn.jfmncmghlwirgihu

The length of DE is  25. So correct option is (4).

In geometry, the term "parallel" refers to two lines that are equidistant from each other over their entire length and will never intersect, no matter how far they are extended. In other words, two parallel lines are parallel if they lie in the same plane and maintain the same distance between them at all times.

Since AB is parallel to DE and BD is perpendicular to both AB and DE, by alternate interior angles, we have:

angle BDA = angle DEC

Since BD is 7 and BC is 15, we have:

triangle BCD is a 7-15-17 right triangle (the Pythagorean theorem)

So, angle BDA = angle DEC = 90 - arctan(7/15) = arctan(15/7).

Also, since AB is parallel to DE, and BD is perpendicular to both AB and DE, we have:

angle ABD = angle CDE

So, by the vertical angles theorem, we have:

angle ABD = angle CDE = 90 degrees - arctan(15/7) = arctan(7/15)

Then, by the Pythagorean theorem, the length of DE can be found as:

\((DE)^{2}\) = \((AB)^{2}\) + \((BD)^{2}\) = \(21^{2}\) + \(7^{2}\) = 441 + 49 = 490

So, DE = \(\sqrt{490}\) = 2\(\sqrt{122}\) = 2 * 11 = 22

Therefore, the length of DE is (4) 25.

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Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.

Absolute advantage is the potential of an individual,  a company, or a  country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.

A factory in German has an absolute advantage because it can produce more sports car  than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.

Therefore, the correct answer is option A.

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hmmmm i think there is another part of this

The distance between point A(-3,7) and line (1/3x-2) is 3√10. The length of the line segment connecting two points in a plane is defined as distance between two points.

The formula for calculating the distance between two points is typically given as d=√((x2 – x1)² + (y2 – y1)²). This formula is used to calculate the distance between two points on a coordinate plane or an x-y plane.

The shortest distance from a given point to any point on an infinite straight line is the distance from a point to a line. It is the perpendicular distance between the point and the line, as well as the length of the line segment connecting the point to the nearest point on the line.

The distance from the point (o, yo) to the line Ax + By + C = 0 is given by:

d= | Axo+Byo+C | / √A2+ B2

To apply this formula, we first need to express the line in standard form

y = 1/3 x -2

3* y = 3 (1/3 x -2)

3*y =x-6

x - 3y - 6 = 0

After substituting: A = 1, B = -3, C=-6, x0 = -3 and yo = 7 we have:

d= | 11-(-3)+(-3)-7+(-6) | / √1²+(-3)2

d = | -3-21-6 | / √1+9

d= | -30 | / √10

d = 3  √10

The distance between point A(-3,7) and line y= (1/3x-2) is 3√10

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Answer:

log x = .63

x = log(.63) = about -.20

Answer:

13

Step-by-step explanation:

we us the pythagorean theorem

sqrt( 144 + 25) = 13

Answer:

(5+7x)°

(3+9x)°

Step-by-step explanation:

sana makatulong

Answer:

ok

Step-by-step explanation:

to hablando Espanol j

Answer:

<EAB and <CAD

<CAB and <DAE

Step-by-step explanation:

The vertical angles are given below.

Vertical angles are angles that are opposite each other when two lines intersect each other. The two pairs of opposite angles are equal to each other. The two pairs of neighboring angles are supplementary, meaning they add up to 180 degrees.

Yes, vertical angles can be right angles. When the two opposite vertical angles measure 90° each, then the vertical angles are said to be right angles.

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Step-by-step explanation:

the answer of this question will be 88,800

Answer:

Step-by-step explanation:

The solution to the possible values of θ for the trigonometric equation is given by θ = 0.96255... + 2πn and θ = 2π - 0.96255... + 2πn

Given data ,

Let the trigonometric equation be represented as A

Now , the value of A is

4sec ( θ ) - 7 = 0

Adding 7 on both sides , we get

4sec ( θ ) = 7

Divide by 4 on both sides , we get

sec ( θ ) = 7/4

From the trigonometric relations , we get

sec θ = 1/cos θ

cos θ = 4/7

Taking inverse on both sides , we get

θ = 0.96255... + 2πn and θ = 2π - 0.96255... + 2πn

Hence , the solution to the equation is θ = 0.96255... + 2πn and θ = 2π - 0.96255... + 2πn

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Given that x is equal to 1 and S is the centroid of the triangle NLQ, NS will have a length of 4 units.

The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition. The centroid of a triangle is the location where the triangle's three medians connect. It may alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Here,

We may infer from the centroid's features that it divides each median in a ratio of 2:1.

NS=2SR

7x-3=2(5x-3)

7x-3=10x-6

3x=3

x=1

NS=7x-3

=7*1-3

=4 units

The length of NS will be 4 units as the value of x is 1 and S is the centroid of triangle NLQ.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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The student has to pay the interest of $733.73.

Option (B) is correct.

What is compound interest?

Compound interest is the interest that is calculated not only on the principal amount of a loan or investment, but also on any interest that has accumulated on the principal in previous periods. It is a way for lenders or investors to earn interest on their money over time, and it can lead to significant growth in the value of an investment or loan balance.

To calculate the interest owed on the credit card in this scenario, we can use the formula for compound interest:

A =\(P(1 + r/n)^{(nt)\)

where:

A = the total amount owed (principal plus interest)

P = the initial principal amount ($3,200 in this case)

r = the annual interest rate as a decimal (0.1299 in this case)

n = the number of times the interest is compounded per year (continuous compounding in this case)

t = the time period in years (16/12 = 4/3 years in this case)

Substituting in these values, we get:

A =\(3200(1 + 0.1299/1)^{(1/3*4)\)

Simplifying this expression gives:

A = 3200(1.0363)¹'³³³

A = $3,933.73

So the total amount owed after 16 months is $3,933.73. To find the amount of interest owed, we subtract the initial principal amount of $3,200:

Interest = $3,933.73 - $3,200

Interest = $733.73

Therefore, the student has to pay the interest of $733.73.

Option (B) is correct.

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Answer:11/4, 7/8, 78%

Step-by-step explanation:

Answer:

0.9 78% 7/8.I hoped I helped

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

The number of gift basket with 15 favors in each is 24.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Descartes has 6 large boxes with 48 party favors in each box

So, the number of favors =6×48

= 288

5 small boxes with 16 party favors in each box

So, the number of favors =5×16

= 80

Total number of favors =288+80

= 368

He puts 15 favors in each gift basket

Then, number of gift basket

= 368/15

= 24.5

Therefore, number of gift baskets he can make is 24.

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Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

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Answer: Option C = 5x^2 + 12x - 7

Step-by-step explanation: First, we need to combine like terms.

-2x^2 + 8x - 9 + 4x + 7x^2 + 2 = (7x^2 - 2x^2) + (4x + 8x) + (-9 + 2) = 5x^2 + 12x - 7

So the expression is equivalent to option C, which is 5x^2 + 12x - 7.

Answer:

ITS THE FIRST ONE

Step-by-step explanation:

-2X2+8

HOPE THIS HELPS

Answer:

8+2+(1.5*8-6)

Step-by-step explanation:

8=x

Answer:

x = 8

Step-by-step explanation:

x + 2 + (1.5x - 6) = 16

2.5x - 4 = 16

2.5x = 20

x = 20/2.5

x = 8

Answer:

62 mm

Step-by-step explanation: