a living room floor consists of an area and hardwood. the area of the rug is 187 square feet. what is the area of the entire living room. (i'm attaching a picture for the rest of the problem) 20 points and brainliest if you answer correctly.

Answer:

4:3, 8:6, 2:1.5

Step-by-step explanation:

3√2 and 3 are the values of x and y respectively from the figure.

The given diagram is a right triangle with an acute angle of 45 degrees

We need to determine the values of variables x and y.

Applying the trigonometry identity, we will have:

sin 45 = opposite/hypotenuse
sin45 = 3/x

x = 3/sin45

x = 3/(1/√2)
x = 3√2

Similarly:

tan 45 = opposite/adjacent
tan 45 = 3/y

1 = 3/y

y = 3

Hence the values of x and y from the figure is 3√2 and 3 respectively

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Answer:

110

Step-by-step explanation:

55 + 55 = 110

Step-by-step explanation:

55+55=110°

angle in a triangle=180°

180-110 =70

180-70=110(angle on a straight line)

110

The interest amount at December 31st is $93.33, and April 30th is $140.

To calculate the interest amounts at December 31st and April 30th, we need to consider the terms of the note and the time periods involved.

The note was accepted on November 1st, and it has a 180-day term with a 7% interest rate. December 31st falls 60 days after the acceptance of the note (180 days - 60 days remaining). April 30th falls 180 days after the acceptance of the note.

To calculate the interest amount at December 31st, we need to determine the interest accrued during the 60-day period. The formula for simple interest is:

Interest = Principal x Rate x Time

Given that the principal is $4,000 and the rate is 7%, we can substitute these values into the formula:

Interest at December 31st = $4,000 x 0.07 x (60/360) = $93.33

To calculate the interest amount at April 30th, we consider the full term of 180 days. Using the same formula:

Interest at April 30th = $4,000 x 0.07 x (180/360) = $140

The interest amount at December 31st is $93.33, and the interest amount at April 30th is $140.

These interest amounts represent the interest earned on the note over the specified time periods. The interest is accrued based on the principal amount, the interest rate, and the length of time the note is outstanding.

The calculation of interest allows the company to recognize the interest income earned from the note. This income contributes to the company's revenue and impacts its financial statements. By accurately calculating the interest amounts, Vital Company can ensure proper financial reporting and reflect the interest income in their financial statements for the corresponding periods.

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Answer: The correct answers are -3.45 and 1.45

Step-by-step explanation: The only problem you had was you rounded it to the tenths place instead of the hundredths place.

Sorry for getting back to you late.

5 in :2ft

170 in :68ft

The series appears to be     166, 199, 232, 265, 298, 331

With examples, define sequence?

A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.

                                      In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.

The last number of the common difference must end in 3

And this must be a 2 digit number

So....the first number must end in 6

The the 4th number must be 265

So..... the 5th number  must end in 8

And the last digit  of the last term must end in  1  [ and begin with 3 ]

Putting all this together  we have that

265  + 2d  =  331

2d  = 66   ⇒  d = 33

So  the first term must be  265 - 3 (66)  =  166

the series appears to be     166, 199, 232, 265, 298, 331

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To evaluate f(-x) when f(x) = x/(x^2 + 1), we need to substitute -x for x in the function.

So f(-x) = (-x)/((-x)^2 + 1)

Simplifying the denominator we get:

f(-x) = (-x)/(x^2 + 1)

The function f(-x) is equivalent to the function f(x) with the x-value negated. The value of the function f(-x) is the same as the value of the function f(x) but with the x-value negated.

It's important to note that we can also express this as f(-x) = -f(x)

So the value of f(-x) is x/(x^2 + 1) with the x-value negated.

Answer:

5 percent

Step-by-step explanation:

100/40=2.5

2.5*2=5

the area of the trapezoid is 10√3 km² (approximately 17.3 km²).To find the area of a trapezoid, we use the formula A = (1/2) * (b₁ + b₂) * h

what is trapezoid ?

A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The height (or altitude) of a trapezoid is the perpendicular distance between the two bases. The formula for the area of a trapezoid

In the given question,

To find the area of a trapezoid, we use the formula:

A = (1/2) * (b₁ + b₂) * h

where A is the area, b₁ and b₂ are the lengths of the parallel sides of the trapezoid, and h is the height (or perpendicular distance between the parallel sides).

In this case, we are not given the height, but we can still find the area if we make some assumptions. Let's assume that the trapezoid is isosceles, which means that the two non-parallel sides are equal in length. Then we can draw an altitude from one of the vertices to the opposite base, which will bisect the base and create two right triangles.

Using the Pythagorean theorem, we can find the length of the altitude:

a² + (b₁ - b₂)² = (2a)²

Simplifying and solving for a, we get:

a² + (b₁- b₂)² = 4a²

3a² = (b₁ - b₂)²

a = (1/√3) * |b₁ - b₂|

Since we know that the sum of the non-parallel sides is 10 km, we can write:

b₁ + b₂ = 10

Let's assume that b1 is the longer base, so we can write:

b₁ = 8 km

b₂ = 10 - b₁ = 2 km

Substituting these values into the formula for the altitude, we get:

a = (1/√3) * |8 - 2| = (1/√3) * 6 = 2√3 km

Now we can use the formula for the area of a trapezoid to find the area:

A = (1/2) * (b1 + b2) * h

A = (1/2) * (8 + 2) * 2√3

A = 10√3 km²

Therefore, the area of the trapezoid is 10√3 km² (approximately 17.3 km²).

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Answer: y=2/3X- 4/3

Step-by-step explanation:

Slope = (4-2)/(4-1)=2/3

Y-2=2/3(x-1)

Y-2=2/3x-2/3

Y=2/3X-2/3+2

Y=2/3X-4/3

Answer:

10

Step-by-step explanation:

Answer:

121210

Step-by-step explanation:

After 9 years, Annabelle will have $119271.4 in her bank account as per compound interest

"Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest."

Given, the invested amount is (P) = $70000

The interest rate is (r) = 6.1% = 0.061

Duration of the investment (n) = 9 years

Therefore, the amount of money after 9 years will be

= P(1 +r )ⁿ

= $70000(1+0.061)⁹

= $119271.4

Therefore, the total amount after 9 years will be $119271.4.

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Answer:

To find the z-score, we use the formula:

z = (x - mu) / (sigma / sqrt(n))

where:

x = sample mean = $5100

mu = population mean = $5000

sigma = population standard deviation = $250

n = sample size = 64

Substituting the values, we get:

z = (5100 - 5000) / (250 / sqrt(64))

z = 2.56

Therefore, the z-score that corresponds to a sample average of $5100 is 2.56 (rounded to four decimals).

Step-by-step explanation:

I clicked on the black picture. thought is was the box to enter the answer.

Answer: C

Step-by-step explanation:

Hello! :)

\(\large\boxed{\text{m = -8, b = 22}}\)

Find the slope and y-intercept by rearranging the equation into the following format:

y = mx + b

We are given the equation:

16x + 2y = 44

Rearrange by subtracting 16x from both sides:

2y = -16x + 44

Divide all terms by 2:

y = -8x + 22

In this equation, the m-value is -8 and the b value is 22.

Therefore, m = -8, and b = 22.

Answer:

A) 12 / 13

Step-by-step explanation:

The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.

Answer:

(x+8)^2

Step-by-step explanation:

x^2 +16x+64

What two numbers multiply to 64 and add to 16

8*8 = 64

8+8 = 16

(x+8)(x+8)

(x+8)^2

Confident, In contrast to any stillness he had ever felt on land, he felt a sense of calm when the water was calm. and "He gave two weeks' notice at his job and immediately sailed off again."

fishing vessel Place on list Share. fishing boat definitions. a fishing vessel with a well for preserving the catch. A boat and a fishing smack are potential candidates. both sorts of draggers and trawlers. Fishing ships or boats are used to remove aquatic creatures from bodies of water.

A trawl is a type of fishing net that is currently dragged along or through the ocean floor at specific depths. Since trawlers are frequently bigger than fishing boats and struggle to maneuver when necessary, they are given special qualities in ror.

Thus, options A and A, B are correct.

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Answer:

Part a: confident

Part b: "The calmness that he felt when the water was placid wasn’t like any stillness that he experienced on land." and "He had spent most of his life on the sea; he knew the habits and nuances of the water like it was his closest friend."

Step-by-step explanation: I took the test :)

Answer:

Step-by-step explanation:

4y - 2(5 - y + 4) = 4y - 2(9 - y)

                         = 4y + 9*(-2) - y *(-2)

                         = 4y  - 18 + 2y      {Combine like terms 4y and 2y}

                         = 6y - 18

6y - 18 = 6*y - 6*3

           = 6(y - 3)

6y- 18 =  2 *3y - 2*9

          = 2(3y -9)

2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)

Others are not equivalent

Answer: 299/11=27.1

Step-by-step explanation:

Answer:

The correct answer is B, I took the test :)

You just turn the percentages into decimals

The probability distribution table is formed clearly in the answer part.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

The probability for all the elements in the sample space can be shown in one table known as distribution table.

Suppose X be the event of choosing a major.

Then, its probability can be given as P(X).

Here, the percent value of a given event is equivalent to their probability.

It can be represented in the form of table as,

X (Major chosen by student)                              P(X) (Probability)

    Math                                                                    3% = 0.03

   Nursing                                                                22% = 0.22

  Psychology                                                           16% = 0.16

 Criminal justice                                                      11% = 0.11

   Business                                                              48% = 0.48

This table is known as the probability distribution table.

Hence, the probability distribution table is formed by calculating the probability for each of the events.

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Answer:

When the y-intercept of a line is changed, the line will shift up or down along the y-axis. The slope of the line will remain the same, but the point at which the line crosses the y-axis will change. This means that the position of the line on the graph will change, but the overall shape of the line will stay the same. For example, if the y-intercept of the line y=x is changed from (0,0) to (0,5), the line will shift up by 5 units and will now be represented by the equation y=x+5. This will cause the line to intersect the y-axis at the point (0,5) instead of (0,0).

Answer:

A) 67.4 m

Step-by-step explanation:

Let "x" represent how many meters above the lake is the man

Reference angle = 32°

Opposite = x

Hypotenuse = 129.5 m

Apply ye trigonometric function SOH:

Sin 32° = Opp/Hyp

Son 32 = x/129.5

129.5 × sin 32° = x

x = 68.6245447

This is close to A) 67.4 m

The height of stack is 36 feet.

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:

height of 1 crate = 3 feet

height of 1 crate in inch = 3*12

= 36 feet

Hence, the height of stack of shipping crates is 36 feet.

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Answer:

18% I think

Step-by-step explanation:

23.75 x .179 = 4.25125

23.75 + 4.25 = 28

.179 = 17.9%

Answer:

The answer is d

Step-by-step explanation: Hope this helps :)

The correct option is "option C" i.e., \(p^{-m}\)÷ \(p^{n}\) is equal to \(p^{-m-n}\).

It is given that given equation is ; \(p^{-m}\)÷ \(p^{n}\) .

What is the correct option as per the question ?

What will be the value of \(x^{n}\) ÷ \(x^{m}\) according to laws of exponential ?

The value according to laws of exponential will be \(x^{n-m}\).

According to the exponential rule ;

 \(x^{n}\) ÷ \(x^{m}\) = \(x^{n-m}\)

⇒ \(p^{-m}\)÷ \(p^{n}\) will be equal to ;

\(p^{-m}\)÷ \(p^{n}\) = \(p^{-m-n}\)

Thus , The correct option is "option C" i.e., \(p^{-m}\)÷ \(p^{n}\) is equal to \(p^{-m-n}\).

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Answer:

x is -1/b yw

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer:

I think

Category: Calculus and Above

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