Which expression is equivalent to 4 - (-7)? A. 7+4 B. 4-7 C. -7-4 D. 4+7

Answer:

3.2 Gallons

Step-by-step explanation:

First you figure out the area of each rectangle:

24 x 12= 288 squared feet

Then multiply 288 by four (because there are four walls):

288 x 4= 1,152

Finally you divide 1,152 by 360:

1,152 ÷ 360 = 3.2

The perimeter is indeed 26 feet, which means they have used all the extra fencing.

Let's start by assuming that the length and width of the garden patch are whole numbers of feet, since we are asked to use only whole numbers.

Let's call the length of the garden patch "L" and the width "W".

We know that Liam has 26 feet of fencing left over. This fencing will be used to make the perimeter of the garden patch, which is given by:

Perimeter = 2L + 2W

We can substitute the value of the perimeter with the amount of fencing that Liam has:

26 = 2L + 2W

Simplifying this equation, we get:

13 = L + W

Since we want to use all the extra fencing, we know that the perimeter of the garden patch must be 26 feet. We can use this information to write another equation:

Perimeter = 2L + 2W = 26

We can substitute the value of 13 for L + W in this equation:

2L + 2W = 26

2L + 2(13-L) = 26

2L + 26 - 2L = 26

26 = 26

This equation is true, which means that our assumption that L and W are whole numbers is correct.

Therefore, the dimensions of the garden patch that Liam and his brother can make for their sister are 6 feet by 7 feet.

To check, we can calculate the perimeter:

Perimeter = 2L + 2W = 2(6) + 2(7) = 12 + 14 = 26

So the perimeter is indeed 26 feet, which means they have used all the extra fencing.

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Answer:

54.4009853

Step-by-step explanation:

Simplify each term.  

2 + 5 +47.53 − 237 /1837

Find the common denominator.

2 ⋅ 1837 /1837 + 5 ⋅ 1837 /1837 + 47.53 ⋅ 1837/1837 − 237 /1837

Combine fractions.

3674 + 9185 + 87312.61 − 237 /1837

Simplify the numerator.

99934.61 /1837

Divide  99934.61  by  1837 .

=54.4009853

Answer:

45 degree angle

Step-by-step explanation:

Let's say that the line crossing the middle of quadrant four was on the y-axis, that would be known as a 90 degree angle.  Since it was cut in half, that would become a 45 degree angle.

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

\(\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}\)

Substitute:

\(\displaystyle \tan6^\circ = \frac{8}{RX}\)

Take the reciprocal of both sides:

\(\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}\)

Multiply both sides by 8:

\(\displaystyle RX = \frac{8}{\tan6^\circ}\)

Use a calculator (make sure you're in Degrees mode!):

\(\displaystyle RX\approx 76.1149\)

Hence, our answer is B.

Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer: 4/3 ft long, or  1  1/3ft

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

\(36-\frac{a}{4}\)

Answer:

=3h+2

Step-by-step explanation:

p(z) =3z - 7 whenz= 3+h

p(z) =3(3+h) - 7

      =9+3h-7

      =3h+2

Answer:

hi

Step-by-step explanation:

if usa it is George Washington

Answer:

change to improper fraction

24/5 × 20/6=16 (you cross multiply)

Answer:

= 46 14/15

Step-by-step explanation:

Find the greatest common factor of the numerator and denominator:Factor out and cancel the greatest common factor:Multiply the fractions:Simplify the arithmetic:Simplify the arithmetic
Hope You Enjoy !

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

Answer:

Step-by-step explanation:

Answer:

<abd+<dbc=<Abc

50+40=90

triangle abc is a right angled triangle being one angle 90 degree

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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Answer:

10 x 10 = 100

20 x 5 = 100

500 - 200 = 300

so 300 rs

Answer:

Step-by-step explanation:

x = 180-65 = 115°

A=148°

B=148°

Step-by-step explanation:

180-38=148°

because A and B are equal, they're both 148°

Answer:

- 2.5y + 1.6

Step-by-step explanation:

- 2.2y + 0.6 - 0.3y + 1 ← collect like terms

= (- 2.2 - 0.3)y + (0.6 + 1)

= - 2.5y + 1.6

Answer:

step: 1 collect like terms.

(-2.2y-0.3y) +(0.6+1)

setp:2 simplify

-2.5y+1.6

Step-by-step explanation:

Answer:

The direct answer is 745

Step-by-step explanation:

773 minus 28

✨745✨

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

The probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4345.

The required equation of the line using the slope of 2 is y=2x+3.

In order to put the equation in y-intercept (y=mx+b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

The slope is the ratio of the y-to-x change.

Draw a sloping triangle connecting the two spots you find on the line.

To determine the y-intercept, use the point (-4, -5) and slope 2.

y = mx+b

⇒ −5 = (2 × −4) + b

⇒ −5 = -8 + b

⇒ b = 3

The equation in slope-intercept form is written as follows:

y = mx+b

⇒ y = 2x + 3

Therefore, the required equation of the line using the slope of 2 is y=2x+3.

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Answer:

B

Step-by-step explanation:

cos(35)=x/15  

15cos(35)=x

x=12.3

A data set's mean, median, and mode will all increase by 10 if each value is multiplied by 10, range will remain unaffected. The box-and-whisker plot will be affected by a 10 unit shift to the right of the entire plot.

The mean, median, and mode of each value, as well as the range, will all be multiplied by 10 for each value. The box-and-whisker plot will be affected by a 10x extension of the overall plot.

The data distribution's form, including its skewness and outliers, is unaltered in both scenarios. The change in mean, median, mode, and range does not change, but it provides information about the scale of the data.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Answer: 101.03 cm

Step-by-step explanation:

Given

The height of the person is \(h=175\ cm\)

Sun is \(60^{\circ}\) above the ground

Suppose x is the length of the shadow

From the figure, we can write

\(\Rightarrow \tan 60^{\circ}=\dfrac{h}{x}\\\\\Rightarrow x=\dfrac{h}{\tan 60^{\circ}}\\\\\Rightarrow x=101.03\ cm\)

So, the length of the shadow is 101.03 cm

The $1314^\text{th}$ digit past the decimal point is 2.

To find the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$, we can use long division to compute the decimal expansion of the fraction.

The long division of $\frac{5}{14}$ is as follows:

```

0.35    <-- Quotient

-----

14 | 5.00

   4.2    <-- Subtract: 5 - (14 * 0.3)

   -----

     80   <-- Bring down the 0

     70    <-- Subtract: 80 - (14 * 5)

     -----

     100   <-- Bring down the 0

      98    <-- Subtract: 100 - (14 * 7)

      -----

       20   <-- Bring down the 0

       14    <-- Subtract: 20 - (14 * 1)

       -----

        60   <-- Bring down the 0

        56    <-- Subtract: 60 - (14 * 4)

        -----

         40   <-- Bring down the 0

         28    <-- Subtract: 40 - (14 * 2)

         -----

         120   <-- Bring down the 0

         112    <-- Subtract: 120 - (14 * 8)

         -----

           80   <-- Bring down the 0

           70    <-- Subtract: 80 - (14 * 5)

           -----

           ...

```

We can see that the decimal expansion of $\frac{5}{14}$ is a repeating decimal pattern with a repeating block of digits 285714. Therefore, the $1314^\text{th}$ digit past the decimal point is the same as the $1314 \mod 6 = 0^\text{th}$ digit in the repeating block.

Since $1314 \mod 6 = 0$, the $1314^\text{th}$ digit past the decimal point in the decimal expansion of $\frac{5}{14}$ is the first digit of the repeating block, which is 2.

So, the $1314^\text{th}$ digit past the decimal point is 2.

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