A park in a subdivision is triangular shaped. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53 degrees. To the nearest unit, what is the area of the park in square yards?A. 27,935B. 24,831C. 37,246D. 12,415thank you ! :)

A Park In A Subdivision Is Triangular Shaped. Two Adjacent Sides Of The Park Are 533 Feet And 525 Feet.

Answers

Answer 1

Given:

Length of the two adjacent sides = 533 feet and 525 feet

Angle between the two sides = 53 degrees

Let's find the area of park.

Let's make a sketch representing this situation:

Let's first find the length of the third side.

Apply the cosine rule.

We have:

[tex]\begin{gathered} a=\sqrt{533^2+525^2-2(533)(525)cos53} \\ \\ a=\sqrt{284089+275625-336805.7777} \\ \\ a=\sqrt{222908.2223} \\ \\ a=472.13\text{ ft} \end{gathered}[/tex]

Now, apply the Heron's formula to find the area:

[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where:

a = 472.13

b = 533

c = 525

Let's solve for s:

[tex]\begin{gathered} s=\frac{472.13+533+525}{2} \\ \\ s=\frac{1530.13}{2} \\ \\ s=765.1\text{ } \end{gathered}[/tex]

• Therefore, the area will be:

[tex]\begin{gathered} A=\sqrt{765.1(765.1-472.13)(765.2-533)(765.1-525)} \\ \\ A=\sqrt{765.1(292.97)(232.1)(240.1)} \\ \\ A=111738.81\text{ ft}^2 \end{gathered}[/tex]

The area in square feet is 111,738.81 square feet.

Now, let's find the area in square yards.

Apply the metrics of measurement.

Where:

1 square yard = 9 square feet

Thus, we have:

111,738.81 square feet =

[tex]\frac{111738.81}{9}=12415.4\approx12415\text{ square yards}[/tex]

Therefore, the area of the park in square yards is 12,415 square yards.

ANSWER:

12,415 square yards.

A Park In A Subdivision Is Triangular Shaped. Two Adjacent Sides Of The Park Are 533 Feet And 525 Feet.

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The bar graph is attached below.

The heights of the rectangular bars in a bar graph, which displays complete data, are proportionate to the values they indicate. The graph's bars can be displayed either vertically or horizontally. Bar graphs, commonly referred to as bar charts, are a visual depiction of groups of data. It is one method of processing data. A bar graph is a great tool for representing data that are unrelated to one another and do not need to be displayed in any particular sequence. The bars provide a visual representation for comparing amounts in several categories. The x and y axes, commonly known as the horizontal and vertical axes, the title, labels, and a bar graph are all included.

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Answer:You have 24

Step-by-step explanation:

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we know that

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To find the angle measure "n", we proceed as follows:

Step 1: Recall that the sum of angles at a point is 360 degrees, as below:

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Answers

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K---------------L---M

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Answers

Area of the triangle is 225 sq. cm.

Given:

The base of the triangle is, b = 30cm.

The height of the triangle is, h = 15cm.

The objective is to find the area of the triangle.

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[tex]A=\frac{1}{2}\times b\times h[/tex]

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[tex]\begin{gathered} A=\frac{1}{2}\times30\times15 \\ A=225cm^2 \end{gathered}[/tex]

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Evaluate the following expression.
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Answers

Answer:

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Step-by-step explanation:

1-4x(-3)+8x(-3)=

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A) how many of these voters plan to vote for the library? B) how many voters are not planning to vote for the library?

Answers

Answer:

Explanation:

From the information given, 3

2. A grocery store is tracking how many people buy barbeque chips and jalapeno chips. The table shows how the number of barbeque chips and jalapeno chips are related. Ax + By = C y = mx + b Barbeque Jalapeno Write the standard form and slope intercept form equations for the scenario given. Chips (x) Chips (y) 200 100 160 140 120 180 80 220 Hint: use your calculator (STAT: Edit)

Answers

step 1

Find the slope m

we need two points

so

(200,100) and (80,220)

m=(220-100)/(80-200)

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step 2

Find the equation of the line in point slope form

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we have

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step 3

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Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing.

A linear pair is made up of two angles, and the sum of their measures is 180°.

What is the formula for linear pairs?A two-variable linear equation of the form axe + by + c, with a, b, and c all being real numbers and not equal to zero.The Transitive Property states that if all real numbers x, y, and z are equal, then x=z. Substituting characteristics. If x=y, then x can be swapped to y in any equation or formula.Mathematically speaking, the linear pair postulate and linear pair theorem both express the same thing. A linear pair is made up of two angles, and the sum of their measures is 180°.Line pairs can be congruent. Adjacent angles are joined by a vertex. Angles that are similar cross across. A linear pairing is unnecessary.

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Answers

First, we need to find the sides of the triangle.

The base of the triangles is 8ft - 5ft = 3ft.

The height for the triangle is 7ft - 4ft = 3ft

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[tex]A_t=\frac{base\cdot height}{2}[/tex]

Replacing the values:

[tex]A_t=\frac{3ft\cdot3ft}{2}[/tex]

Then

[tex]A_t=4.5ft^2^{}[/tex]

Now, we need to find the area for the rectangle:

Area for a rectangle = Length * Width

In this case:

Length = 8ft

Width = 7ft

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[tex]A_r=8ft\cdot7ft[/tex]

Then

[tex]A_r=56[/tex]

Finally, to find the area of the shaded region we need to subtract the triangle area from the rectangle area:

[tex]A=A_r-A_t[/tex]

Therefore:

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Answers

Hello there. To answer this question, we need to plug in the value given by the question and solve for C, the temperature in Celsius.

We want to find the equivalent temperature in Celsius to 14 degrees Fahrenheit.

Knowing that F = 9/5C + 32, making F = 14 lead us to:

14 = 9/5C + 32

Subtract 32 on both sides of the equation

9/5C = -18

Multiply both sides of the equation by a factor of 5/9, in order to get:

C = 5/9 (-18) = -10.

This is the equivalent temperature we were looking for.

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Answers

Okay, here we have this:

Considering the provided information, that in a rhombus opposite angles are equal, and that the sum of the angles of a triangle is 360 °, we obtain:

360°=100°+100°+4(m∠DBC)

Now, let's clear "m∠DBC":

360°=200°+4(m∠DBC)

4(m∠DBC)=360°-200°

4(m∠DBC)=160°

m∠DBC=160°/4

m∠DBC=40°

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Additionally, the equation can be expressed in point-slope form as:

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From the problem, we identify:

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Then, we calculate the slope of the line using (1):

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Finally, we find the equation of the line using (2):

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URGENT!! ILL GIVE
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Answer:

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Answers

The absolute value gives always a positive number.

If a is negative, then a|x| is negative and |ax| is positive.

Therefore, the graph of y=a|x| won't be the same as the graph of y=|ax|.

Another way to see it, is by using the property:

[tex]\mleft|ax\mright|=\mleft|a\mright|\cdot\mleft|x\mright|[/tex]

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Answers

For this exercise you need to use the following formula:

[tex]\theta=\frac{S}{r}[/tex]

Where θ is the Central angle in radians, "S" is the arc length and "r" is the radius of the circle.

In this case, you can identify that:

[tex]\begin{gathered} S=8\pi cm \\ r=8\operatorname{cm} \end{gathered}[/tex]

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the measure of the Central angle in radians. This is:

[tex]\begin{gathered} \theta=\frac{8\pi cm}{8\operatorname{cm}} \\ \\ \theta\approx\pi radians \end{gathered}[/tex]

The answer is:

[tex]\pi radians[/tex]

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Answers

1. Divide the first term of the dividend into the first term of the divisor:

[tex]\frac{6x^2}{2x}=3x[/tex]

2. Multiply the result above by the divisor:

[tex]3x(2x+1)=6x^2+3x[/tex]

3. Subtract the result above from the divident to get a new polynomial:

4. Repeat the process with the new polynomial:

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Answers

2r + 7 = 4r - 13

subtract 4 from both-side of the equation

2r - 4r + 7 = 4r - 4r - 13

-2r + 7 = -13

subtract 7 from both-side of the equation

-2r + 7 = -13 - 7

-2r = -20

divide both-side of the equation by -2

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Answers

In order to solve the equation for y, we just need to isolate the variable y in one side of the equation. So we have:

[tex]\begin{gathered} \frac{1}{3}x+y=4 \\ y=4-\frac{1}{3}x \end{gathered}[/tex]

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Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

s = 50in

d = 20in

surface area of a cone = ?

Step 02:

surface area of a cone

SA = πr² + πrs

r = d/2 = 20in / 2 = 10in

SA = 3.14*(10in)² + 3.14*50in*10in

SA = 314in² + 1570in²

SA = 1884in²

The answer is:

SA = 1884in²

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Answers

Answer: i think B

Step-by-step explanation:

im not that sure tho

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Answers

Answer:

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Mai works as a tutor for $12 an hour and as a waitress for $7 an hour. This month,she worked a combined total of 85 hours at her two jobs. Let t be the number of hours Mai worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.total earned (in dollars) = ?

Answers

Solution:

Let t be the number of hours Mai works as a tutor.

Given that She earns $12 a hour as a tutor, this implies that for t number of hours, she will earn

[tex]\begin{gathered} \$12\times t \\ =\$\text{ 12t} \end{gathered}[/tex]

For the month, she worked a combined total of 85 hours. This implies that

[tex]\begin{gathered} 85=t\text{ + (number of hours worked as a waitress) } \\ \Rightarrow nu\text{mber of hours worked as a waitress = (85-t) hours} \end{gathered}[/tex]

Her total eranings for the month is expressed as

[tex]\text{Total earnings = 12(number of hours worked as a tutor)+7(number of hours worked as a waitress)}[/tex]

Recall that she earnes $7 an hour while working as a waitress.

Thus, we have her combined total amount in dollars expressed as

[tex]\text{Total earned (in dollars)=12t+7(85-t)}[/tex]

Hence, the expression is

[tex]\begin{gathered} \text{12t+7(85-t) } \\ \text{open parentheses} \\ \Rightarrow12t+595-7t \\ \text{collect like terms.} \\ \text{thus, the expression is simplied to be} \\ 5t+595 \end{gathered}[/tex]

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Answers

Since angles ACB and ECD are vertical angles, they are congruent, so we have

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In one us city the taxi cost is 2$ plus .50c per mile . If you are traveling from the airport there is an additional charge of 3.50$ for tolls how far can i travel for 33$

Answers

Let the number of miles I can travel for $33 be x;

The total cost of taxi ride from the airport is;

Flat fee + Tolls fee + Charge/Mile = Total cost

Flat fee = $2.00

Toll fee = $3.50

Charge per mile = 0.50x

Total cost = $33.00

Thus, we have;

[tex]\begin{gathered} 2.00+3.50+0.50x=33.00 \\ 0.50x=33.00-5.50 \\ 0.50x=27.50 \\ x=\frac{27.50}{0.50} \\ x=55 \end{gathered}[/tex]

Thus, the number of miles

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Answers

For two binomials, the distributive property is:

[tex](a+b)\cdot(c+d)=a\cdot c+a\cdot d+b\cdot c+b\cdot d[/tex]

So, let's solve this problem.

Step 01: Multiply the first term of the binomial (x - 3) by both terms of the binominal (4x + 2).

[tex](x-3)\cdot(4x+2)=x\cdot4x+x\cdot2+\cdots_{}[/tex]

Step 02: Multiply the second term of the binomial (x - 3) by both terms of the binominal (4x + 2).

[tex](x-3)\cdot(4x+2)=x\cdot4x+x\cdot2+(-3)\cdot4x+(-3)\cdot2[/tex]

Step 03: Multiply the terms.

[tex]=4x^2+2x-12x-6[/tex]

Step 04: Add like terms.

[tex]=4x^2-10x-6[/tex]

Answer:

[tex]4x^2-10x-6[/tex]

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Answers

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