Write 56\90 as a decimal

Answer:

The perimeter of a rectangle is the sum of both lengths and both widths, which is equal to 54 meters. Let's call Length L and Width W.

The question is saying this: L = 3 meters + 3(W). We have 2 variables, which means we need at least 2 equations to solve. So far we have one, our second equation is from the perimeter.

2 lengths + 2 Widths = 54. Now, it's just a plug and chug.

2(3 + 3W) + 2W = 54.

6 + 6W + 2W = 54

8W = 48

W=6

L = 3 + 3(6) = 21

To double check: 2(21) + 2(6) = 42 + 12 = 54

The Width is 6 meters, and the Length is 21 meters.

Answer:

3.125

Step-by-step explanation:

Answer:

25/8 in a decimal form is

Step-by-step explanation:

3.125

Answer:

[tex]\displaystyle y=2\sqrt{6}[/tex]

[tex]\displaystyle x=2\sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

[tex]\displaystyle \cos 30^\circ=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}[/tex]

Solving for y:

[tex]y=4\sqrt{2}\cos 30^\circ[/tex]

Since:

[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]

[tex]\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}[/tex]

Simplifying:

[tex]\displaystyle y=2\sqrt{6}[/tex]

Now we use the sine ratio:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}[/tex]

Solving for x:

[tex]x=4\sqrt{2}\sin 30^\circ[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}:[/tex]

[tex]\displaystyle x=4\sqrt{2}\frac{1}{2}[/tex]

Simplifying:

[tex]\displaystyle x=2\sqrt{2}[/tex]

The choices are not clear, but it seems like the correct answer is C.

[tex]\boxed{\displaystyle y=2\sqrt{6}}[/tex]

[tex]\boxed{\displaystyle x=2\sqrt{2}}[/tex]

Answer:

30in²

Step-by-step explanation:

A=1/2(4)(5+10)

A=2x15

A=30in²

Answer:

3000,

Step-by-step explanation:

5 or above round up, 4 and below keep it the same

Answer:

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

Step-by-step explanation:

Linear equations can take various forms, such as the point-slope formula. This formula gives the slope of a line and the coordinates of a point on it. The point-slope form of a linear equation is written as:

y - y1= m*(x-x1)

In this equation, m is the slope and (x1, y1) are the coordinates of the point.

In this case, you know that the line has a slope of [tex]-\frac{2}{3}[/tex] and  passes through the point (-1,3). This is, m=[tex]-\frac{2}{3}[/tex] and (x1;y1)=(-1;3). Replacing:

y -3=[tex]-\frac{2}{3}[/tex] *(x-(-1))

This is:

y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

The equation of a line in Point-Slope form is y -3=[tex]-\frac{2}{3}[/tex] *(x+1)

9514 1404 393

Answer:

  11/20

Step-by-step explanation:

It is appropriate to "invert and multiply".

  [tex]\dfrac{5}{20}\div\dfrac{5}{11}=\dfrac{5}{20}\times\dfrac{11}{5}=\dfrac{5\times11}{5\times20}=\boxed{\dfrac{11}{20}}[/tex]

Answer:

$3700

Step-by-step explanation:

Given that:

Initial amount = $1400

Amount deposited per week = 50

Amount after 47 weeks =?

Using the Arithmetic Progression relation :

Tn = A + (n - 1)d

Weekly deposit = d = 50

A = initial / first deposit = 1400

n = number of deposits

T47 = 1400 + (47 - 1)50

T47 = 1400 + (46)*50

T47 = 1400 + 2300

T47 = 3700

Answer:

$3750

Step-by-step explanation:

T47 = 3750

Answer:

V(d) = 50d + 250 us the answer

The equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,

A travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

The agency also offers the option of eating breakfast and lunch at the hotel for $10 a day for the length of the hotel stay.

The equation for the function can be framed as follows:

Per day expense  = 40 + 10 = 50

Fixed expense = 250

V(d) = 5d + 250

Thus, the equation for the function V(d) is V(d) = 5d + 250 if the travel agency is advertising a vacation package that includes $250 for $40a day for a hotel.

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Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

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Answer:

(D)

Step-by-step explanation:

is the correct because is 1/2

Answer:

C. 1 1/2

Step-by-step explanation:

Answer:

n = 1.42857

Step-by-step explanation:

if a2 is -140 then somewhere between is -100.  3/7 is equal to 0.42857142857 in which it is 3/7 from -70 to -140 in a number range of 1 to 2.  1.42857142857 is your best bet as your answer.

Answer:

15x-10=5

x=1

Step-by-step explanation:

hope it helps bro

Answer:

x=1

Step-by-step explanation:

Answer:

2 rooms

Step-by-step explanation:

1/2 divided by 1/4 is 2

2 times 1 = 2

Answer - 2

Answer:

Decimal Representation: 0.67

Percent Representation: 67%

Answer:

decimal = 0.67

percentage =67%

Answer:

x = 35°

y = 55°

Step-by-step explanation:

60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)

2x = 180° - 110°

x = 70°/2 = 35°

2x + 2y = 180°( Sum of interior angles of a triangle is 180°)

2× 35° + 2y = 180°

70° + 2y = 180°

2y = 180° - 70°

y = 110°/2

y = 55°

Answer:

From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.

Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.

Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.

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Answer:

nun of the 3 you gave use so the last one the 4th

Step-by-step explanation:

Answer:

Option B is correct

For  , the function for the given sequence is defined as;  

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3  ....

The function which defined this sequence is;

using distributive property:

therefore, the function for the given sequence for all integers  is;  

Answer:

Length of Mr. Roger's field = 5 miles

Step-by-step explanation:

Given that:

Area of Mr. Roger's field = [tex]3\frac{1}{3}=\frac{10}{3}[/tex] square miles

Width of Mr. Roger's field = [tex]\frac{2}{3}[/tex] of a mile

Let,

l be the length of Mr. Roger's field

Area of field = Length * Width

[tex]\frac{10}{3}=\frac{2}{3}l[/tex]

Multiplying both sides by 3/2

[tex]\frac{3}{2}*\frac{10}{3}=\frac{2}{3}l*\frac{3}{2}\\5 = l\\l = 5[/tex]

Hence,

Length of Mr. Roger's field = 5 miles

The line perpendicular to the line y = 2/3x + 4 is 4) y = -3/2x + 4.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

The given equation of a line in slope-intercept form is y = (2/3)x + 4.

Now, We know lines perpendicular to each other have slopes that are negative reciprocal to each other.

If one line has a slope of 'm' the line perpendicular to it will have slope

(-1/m).

Therefore, From the given options the line y = -(3/2)x + 4 is the line perpendicular to the line y = (2/3)x + 4.

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Answer:

B

Step-by-step explanation:

-3/4y - 1/5y = 380 can be simplified to -19/20y = 380.

In order for the student to incorrectly get 361, they likely just multiplied the 380 by 19/20 rather than multiplying by the reciprocal (which would be -20/19).

This means the best answer should be B.

Answer:

$21600

Step-by-step explanation:

Net income is calculated by deducting all company expenses from its total revenue. Net income is given by the formula:

Net income = Revenue - cost of goods sold - operating expenses - tax.

But Gross margin = gross profit = Revenue - cost of goods sold. Hence:

Net income = Gross margin - operating expenses - tax.

Substituting gives:

Net income = $50000 - $23000 - $5400

Net income = $21600

Answer:

Yes i think its -96,

if thats what your asking

Answer:

Answer:

the RIGHT answer is y = 5 x 0.90^x

Step-by-step explanation:

ten percent has already been blown away, so you only include the percentage of what hasn't been blown away in the equation. (also i just did the assignment and got 100% so you can trust this).

Answer:

............the answer is 97

Explanation:

The probability of rolling a "2" is 1/6

The probability of rolling a "4" is also 1/6

Multiplying those fractions leads to (1/6)*(1/6) = 1/36. We can multiply the probabilities because the events are independent. Each dice roll does not affect any others.

The probability of rolling a 2 the first time and a 4 the second time is 1/36

There are 6 faces on a die.

Of these 6 faces, one of them is 2 and one of them is 4

So, the probabilities of rolling a 2 and a 4 are:

P(2) = 1/6

P(4) = 1/6

The probability of rolling a 2 the first time and a 4 the second time is calculated as follows:

[tex]\mathbf{Pr = P(2) \times P(4)}[/tex]

This gives

[tex]\mathbf{Pr = \frac 16 \times \frac 16}[/tex]

Multiply

[tex]\mathbf{Pr = \frac 1{36}}[/tex]

Hence, the probability of rolling a 2 the first time and a 4 the second time is 1/36

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Answer:

The exponential form of expression is 4⁵.

To grow at an ever-increasing rate is referred to as exponential growth. On the other hand, it is a mathematical expression with one or more exponents in mathematics. As a result, we call it an exponential form.

We can say that something might grow at an exponential rate if it grows faster and faster as the thing being discussed gets bigger.

Given expression

4.4.4.4.4

Writing a number as the product of its prime factors is the very first step in expressing it in exponential form.

number is in factors

4 x 4 x 4 x 4 x 4

a numerical term that has been increased to certain powers of its prime factors

= 4⁵

where 5 is exponent.

Hence the  exponential form is 4⁵.

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