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 ! :)

Answer:You have 24

Step-by-step explanation:

For two binomials, the distributive property is:

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).

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

Step 03: Multiply the terms.

Step 04: Add like terms.

Answer:

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

r = 10

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°

Finally we obtain that the correct answer is the option A.

Answer:

3056 can be be formed as the smallest four digit number

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

2. Multiply the result above by the divisor:

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

4. Repeat the process with the new polynomial:

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

Now, we need to find the area of the triangle:

Replacing the values:

Then

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

Area for a rectangle = Length * Width

In this case:

Length = 8ft

Width = 7ft

Therefore:

Then

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

Therefore:

Hence, the area for the shaded region is 51.5 ft².

For this exercise you need to use the following formula:

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:

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:

The answer is:

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:

Since a is negative, then |a| = -a. So, |ax| = -a|x|, which is clearly different from a|x|.

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

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.

Hence we frame the desired bar graph.

Learn more about bar graph here:

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Answer:

-11

Step-by-step explanation:

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

first you multiple

-4x(-3)=12

8x(-3)= -24

bring down the 1

1+12-24=

now we add

13-24=

then subtract and we get

-11

If one line passes through the points (x₁, y₁) and (x₂, y), the slope of the line can be calculated using the formula:

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

From the problem, we identify:

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

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

step 1

Find the slope m

we need two points

so

(200,100) and (80,220)

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

m=120/-20

m=-6

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=-6

(x1,y1)=(200,100)

substitute

y-100=-6(x-200)

Convert to slope intercept form

y-100=-6x+1200

step 3

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

so

y=-6x+1300

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:

Therefore, the meas

Answer:

Explanation:

From the information given, 3

If he paid $57 monthly for 14 months, the total amount paid is:

He paid $798 in total

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

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

To learn more about the Linear pair theorem refer to:

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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:

So the answer is y = 4 - 1/3 x

Answer: i think B

Step-by-step explanation:

im not that sure tho

Answer:

To find the perimeter of the triangle, you would add p + m + n. To find the area of the triangle you would use (p x m) /2. To find a missing side of the triangle, given that it is a right triangle, you would use p^2 + m^2 = n^2

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

Calculating the sum of internal angles in triangle ABC, we have:

Since triangles ACB and DCE are congruent, we have [tex]\begin{gathered} DEC=ABC \\ 5x=65 \\ x=13 \end{gathered}[/tex]

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.

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

so

18/6=DC/11

solve for DC

DC=3*11

DC=33

Find the length of BD

BD=BC+DC

BD=11+33=44 units

therefore

the answer is 44 units

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;

Thus, the number of miles

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.

The formula to find the area of the triangle is,

Now, substitute the given values in the above formula.

Hence, the area of the triangle is 225 sq. cm.

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

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

Her total eranings for the month is expressed as

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

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

Hence, the expression is

Answer: KM = 18

Step-by-step explanation:

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

         15        +  3 = 18