A dog trainer is trying to find a triangular area behind his house that encloses 1800 square feet for his dog to run. He has the first two fence posts at (6, 0) and at (0, 25). The final fence post is on the property line at x = 30. Find the point where the trainer can place the final fence post.

Answers

Answer 1

Answer:

[tex]C = (30,500)[/tex]

Step-by-step explanation:

Given

[tex]Area = 1800ft^2[/tex]

[tex]A = (6,0)[/tex]

[tex]B = (0,25)[/tex]

[tex]C(x,y) = (30,y)[/tex]

Required

Determine the coordinates of C

The area of triangle is calculated as thus:

[tex]Area = \frac{|A_x(B_y - C_y) + B_x(C_y - A_y) + C_x(A_y - B_y)|}{2}[/tex]

This gives:

[tex]1800= \frac{|6(25 - y) + 0(y - 0) + 30(0 - 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(0- 25)|}{2}[/tex]

[tex]1800= \frac{|6(25 - y) + 30(-25)|}{2}[/tex]

[tex]1800= \frac{|150 - 6y -750 |}{2}[/tex]

[tex]1800= \frac{|150 -750- 6y |}{2}[/tex]

[tex]1800= \frac{|-600- 6y |}{2}[/tex]

Multiply through by 2

[tex]2 * 1800= |-600- 6y|[/tex]

[tex]3600= |-600- 6y|[/tex]

[tex]3600= |-(600+ 6y)|[/tex]

[tex]3600= 600+ 6y[/tex]

Solve for 6y

[tex]6y = 3600 - 600[/tex]

[tex]6y = 3000[/tex]

Solve for y

[tex]y = 3000/6[/tex]

[tex]y = 500[/tex]

Hence:

The point is:

[tex]C = (30,500)[/tex]


Related Questions

Point A is located at (h, k). Point B is located at (h,;). Mis the midpoint of segment
AB. Determine the coordinates of point M.
w

Answers

Answer: 6

Step-by-step explanation:

Can someone help me with this geometry problem tysm

Will give brainliest

Answers

Answer:

ggvygvgg how old are u and are you a boy or girl please respond back

ccggvghvguvvhhv

vvhvhhbvgvgghh

Step-by-step explanation:

i got a prize for you

Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?

Answers

510 pesos equals 24.12 U.S. dollars.

So Priya bought a sweater for 24.12 U.S. dollars.

You earn $35 for washing 7 cars. You earn $45. How many cars did you wash?

Answers

Answer:

she washed 9 cars

Step-by-step explanation:

5×7 is 35

9×5 is 45

Answer:

You washed 9 cars

Step-by-step explanation:

35/7 is 5 and 45/5 is 9 therefore if you get $5 per car washed and you earn $45 you have washed 9 cars total

state the domain of the relation ? ( there is more than one?) select all that apply

Answers

Answer:

I think it's {3, 6, 12, 18}

Step-by-step explanation:

Domain: all x-values that are to be used (independent values).

i had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.

Answers

Answer:

its adding 3

Step-by-step explanation:

So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on

The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.

What is a sequence?

The sequence is a pattern of placing the values in a specified manner.

Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:

Two days ago: 6 cupcakes

Yesterday: 9 cupcakes

Today: 12 cupcakes

Tomorrow: 15 cupcakes

Day after tomorrow: 18 cupcakes

In five days: 21 cupcakes

And so on, the pattern would continue adding 3 cupcakes for each subsequent day.

Learn more about the sequence here:
https://brainly.com/question/21961097

#SPJ2

The given quesiton is incomplete, the complete question s given below,


I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??

help me pleaseeeeeeeeee!!

Answers

[1,infinity sign) this is the answer

Based only on the given information, it is guaranteed that AD
= DB

Answers

Answer:

true

Step-by-step explanation:

Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes the length of line segment AB, and so on for others).

In the two triangles, ΔACD and ΔBCD,

DC is the common side

∠ADC = ∠BDC = 90°

∠ACD = ∠BCD (Given)

Thus, the two triangles are congruent and the sides AD≅DB.

Hence, the statement is true.

Learn more about Congruent Triangles:

https://brainly.com/question/16921692

#SPJ2

Given the functions:
f(x) = x2 - 9, and g(x) = x3 + 4x² + 8x – 7, find h(x) = f(x) + g(x).
h(x) = - x3 +5x2 + 8x - 16
h(x) = x3 + 3x² + 8x + 2
h(x) = x3 + 5x² + 8x – 16
h(x) = -x3 - 3x2 – 8x - 2
h(x) = -x3 + 3x2+8x+2

Answers

Answer: h(x)=x³+5x²+8x-16

Step-by-step explanation:

In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

h(x)=x²-9+x³+4x²+8x-7           [combine like terms]

h(x)=x³+5x²+8x-16

Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.

Need HELP! ASAP!! I’ll mark BRAINLIEST if you answer RIGHT!!

Answers

Answer:

The 1st and second is yes and the last one is no.

Step-by-step explanation:

to find the mid-point you add the two x and divide it by 2 same as y.

Please help with these two questions, 20 points

Answers

Answer:

1. Coefficient

2. Variable

From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation differs from the null hypothesis, that 50% of people who are hit by lightening would be men, based on the proportion of men in the population as a whole. Calculate the probability under the normal distribution of getting a result of 531 or more (including the continuity correction). Use the binomial test with a normal approximation. What is your conclusion?

Answers

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

The number of necklaces Lilly can make varies directly with the amount of time she spends making necklaces. She can make 5 necklaces in 2/5 hour. How many necklaces can she make in 5 hours

Answers

Answer:

160 is your answer.

Step-by-step explanation:

I got it right on a test.

1) Which expression has a base with an exponent of 4?
1. p + 4
2. 4 • I • y
3. 4z^3
4. 3m^4

Answers

Answer:

Number 4 has an exponent of 4.

Step-by-step explanation:

The ^ thingy is referring to an exponent. The number after that symbol is the exponent. Therefore, the last answer is the solution to this problem.

The expression which has a base with an exponent of 4 is [tex]3m^4[/tex]

Given two integers a and b, in indices form, we can write;

[tex]a^b[/tex] where:

a is the base

b is the exponent

From the given question, we are to find the expression has a base with an exponent of 4. From the given option;

In p + 4, 4 is not an exponent falsifying option AFor option 2, 4ly, 4 is not an exponent but a baseFor the expression, [tex]4z^3[/tex] 4 is the base, and 3 is the exponent falsifying option C.For the expression, [tex]3m^4[/tex] 3 is the base while 4 is an exponent. Hence the option D is correct.

Hence the expression which has a base with an exponent of 4 is

[tex]3m^4[/tex]

Learn more here: https://brainly.com/question/17640470

Please help asappp. Best answer gets brainly

Answers

Answer:

The last two are the right ones

Step-by-step explanation:

Find the measure of angle b.
PLEAASE HELP!!

The answer is 123.
I need to show work

Answers

Answer:

b and 57 are adjacent and supplementary angles so

b+59=180

b=180-59=121

Answer:

123

Step-by-step explanation:

since a straight line is 180° you need to do this:

180°-57°

which is equal to 123

therefore the measure of angle of b is 123°

What is the solution to the equation x^3=64?
X=

Answers

Answer:

These are two imaginary solutions.

x = − 4 , 2 ± 2 √ 3 i

Step-by-step explanation:

The park has space for the base of the slide to be 7-feet wide. To keep the slide proportional to the model, what will the height of the slide be?

The slide will have a height of
feet.

Answers

Answer:

Step-by-step explanation:

It’s 6 feet

Answer:

The answer is 6

Step-by-step explanation:

I just did it on Edgenutiy

11. What is the value of y?
1420
105°
140°
124)
88°
you

Answers

Answer:

59 degrees (just taking a shot)

Step-by-step explanation:

A six sided polygon should have a total degree total of 720 degrees. 105+142+140+124+88+x=720. When you find x, it should equal 121 degrees. Since x and y are both on a straight line, that line has to be 180 degrees. These are supplementary angles. 180-121 should equal 59.

If a polynomial has four terms, 3x³ + 5x + 6x² + 10, which factoring method can be considered?

Answers

You can factor by grouping.

What is the difference between the longest jump and the shortest jump in the running long jump event?

Answers

The Answer Is 6.65 feet

A 2 3/4​ inch candle burns down in 11 hours. At what rate does the candle burn, in inches per hour?

Answers

Answer:

1/4 or or 0.25

1Step-by-step explanation:

just do 2.75 divided by 11 and you get your answer

At rate 0.25 inch per hour the candle burn.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A 2 3/4​ inch candle burns down in 11 hours.

Now,

Since, A 2 3/4​ inch candle burns down in 11 hours.

Hence, The rate in which the candle burn, in inches per hour is;

= [tex]2 \frac{3}{4}[/tex] ÷ [tex]11[/tex]

= 11/4 ÷ 11

= 11/4 x 1/11

= 1/4 inches per hour.

Thus, At rate 0.25 inch per hour the candle burn.

Learn more about the divide visit:

https://brainly.com/question/24662212

#SPJ2

The measure of an angle is 35.4°. What is the measure of its supplementary angle?

Answers

Answer:

144.6°

Step-by-step explanation:

180-35.4

144.6°

Answer:

144.6

Step-by-step explanation:

Supplementary angles add to 180

Let x be the unknown angle

x + 35.4 = 180

Subtract 35.4 from each side

x = 180-35.4

x =144.6

Which sequence of transformations creates a similar but not congruent triangle? (5 points)
A
Rotation and reflection
B
Reflection and translation
C
Translation and rotation
D
Dilation and reflection

Answers

Answer:

D. Dilation and reflection

Step-by-step explanation:

There are 4 main types of transformations, rotation, reflection, translation, and dilation. 3 of these transformations are defined as rigid, rigid means that the transformation preserves angles and distance between points. If these aspects are preserved than the image is congruent. The only non-rigid transformation listed is dilation, therefore D must be correct.  

Answer:

d

Step-by-step explanation:

There are 35 tables at the wedding. The tables can be lined up in equal-sized rows. Which list shows all the possibilities for the number of tables that could be placed in each row? 1, 5, 7, 35 3, 9, 35 5, 7, 14 7, 21, 35

Answers

Answer:

7, 21, 35

Step-by-step explanation:

Jody sprints 400 meters per minute. How fast does she run in meters per second? Round to the nearest hundredth. *
1 point
Your answer

Answers

Answer:

399

Step-by-step explanation:

I’ve got 399 hope it helped

A stalactite and stalagmite are growing toward each other in a cave. The following graph shows the relationship between the time (in years) since they appeared and the distance (in millimeters) between the stalactite and stalagmite. What feature of the graph represents the rate of change of the distance between the stalactite and stalagmite? slope, x-intercept, y-intercept, or none of the above

Answers

Answer:

Answer:

A slope is corect

Step-by-step explanation:

Answer:

Slope

Step-by-step explanation:

Khan told me :)

Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS

Answers

Answer:

No, they are not equivalent

Step-by-step explanation:

Because

120/2 Can not be divided equally into 360/6

Answer:

Yes

Step-by-step explanation:

They are equivalent because if you write the ratio's out, you get 120:2 and 360:6. If you then simplify both, you get 60:1. To simplify these, you need to find a common factor. In 120:2, you can tell that both numbers can be divided by two because they are both even. After dividing, you get 60:1. In 360:6, you can tell that both numbers can be divided by 6 since they both are multiples of 6. After dividing, you get 60:1. Because these to ratio's are equal, they are equivalent.

A motorcycle travels 25 miles every 0.5 hour

Answers

Step-by-step explanation:

Per means division so this should be 25/0.5

I think you can do the problem by yourself now!

Hope this helps <3

A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?

Answers

Answer:

3 8 person tables. 11 5 person tables.

Step-by-step explanation:

Other Questions
Complete the inequality.(-1/9)(3/5) ___ -2/15> colonist who did not want independence for america 2. Which of the following is NOT a possible source of Earth's magnetic field?A. sun's magnetic fieldc. magnetosphereb. moon's magnetic fieldd. Earth's core What is one of the ways we can conserve?A.use more nonrenewable resourcesB.use products made with plants or animals from the rainforestC.use recycling centers What would they be called? I don't know/ I am multitasking and don't want to screw it up. Read the situation and the dialogue. Then select the best expression to complete the conversation.Juan has a meeting with his counselor to enroll in a program, and he provides some information about himself and his family.Buenos das, seora.Buenos das, Juan.Mi nombre es Juan Romero y ________ de Guatemala. Mi pap se llama seor Esteban Romero.Gracias, Juan.Based on the information provided, what would be a possible expression Juan would use? (2 points) at eres bme llamo cel nombre dyo soy Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line): y = 3x + 29x - 3y = -6 what is the answer to this Melinda has always wanted to know about export rates between the U.S. and China. Why is this a good research topic for her? a. Melinda is curious about the topic c. Melinda saw a tv show and thought she could find more information about China b. Melindas mother says China exports a lot of goods to the U.S. d. None of these Please select the best answer from the choices provided A B C D Which of the following explains a significant positive impact that the immigration of large populations of Chinese people had on places like Vancouver and Los Angeles? PLS HELP WITH THIS PROJECT DUE IN 3 HOURS Students will look through the choices and will choose 4 items (2 from each board) and complete thosse tasks over the next few classes. You will be permitted to erase the slides you do not need and only leave the items that pertain to the assignments you choose to complete. Each assignment will be worth 5 points (for a grand total of 20 points). You will use your textbook and notes to help you complete the assignments. Describe an experiment the student could do to measure the specific heat capacity of a metal How does lafayette description of college help explain why he support the colonists in their fight for freedom what is 19.8-17.1 The church launched how many crusades, or military expeditions, to the Holy land?481530 Evaluate............... what is 8 to the power of 3 minus 9 times 2 divided by 3 -20x + 27? Can anyone help me with number one How did the colony of South Carolina benefit its Mother Country?by supplying African slaves needed to work in British textilesby allowing France and Spain to trade and gain wealth for Britainby providing a source of raw materialsby being a market for Spanish manufactured goods