Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted in an 18 ft line. If the third side, a line of pumpkins, makes an 68 degree angle with the strawberries, determine the length of the pumpkins.

Answers

Answer 1

Answer:

[tex]p = 19.18[/tex]

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

[tex]a^2 = b^2 + c^2 - 2bcCosA[/tex]

Let the strawberry side be s, the Green beans be b and the pumpkins be p.

The cosine formula in this case is:

[tex]g^2 = s^2 + p^2 - 2spCosG[/tex]

Where

[tex]s = 10[/tex]

[tex]g = 18[/tex]

[tex]<G =68[/tex]

The equation becomes

[tex]18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68[/tex]

[tex]324 = 100 + p^2 - 20 * p * 0.375[/tex]

[tex]324 = 100 + p^2 - 7.5p[/tex]

Collect Like Terms

[tex]p^2 - 7.5p + 100 - 324 = 0[/tex]

[tex]p^2 - 7.5p - 224 = 0[/tex]

Using quadratic formula:

[tex]p = \frac{-b\±\sqrt{b^2-4ac}}{2a}[/tex]

Where

[tex]a = 1[/tex]

[tex]b = -7.5[/tex]

[tex]c = -224[/tex]

[tex]p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}[/tex]

[tex]p = \frac{7.5\±\sqrt{56.25+896}}{2}[/tex]

[tex]p = \frac{7.5\±\sqrt{952.25}}{2}[/tex]

[tex]p = \frac{7.5\± 30.86}{2}[/tex]

[tex]p = \frac{7.5 + 30.86}{2}[/tex] or [tex]p = \frac{7.5 - 30.86}{2}[/tex]

[tex]p = \frac{38.36}{2}[/tex] or [tex]p = \frac{-23.36}{2}[/tex]

[tex]p = 19.18[/tex] or [tex]p = -11.68[/tex]

But length can not be negative.

So:

[tex]p = 19.18[/tex]

Three Lines Of Crops In A Garden Form A Triangular Shape. Strawberries Are Planted In A 10 Ft Line And

Related Questions

Please help i will mark braniliest and 30 points

If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7


A) x=8
B) x = 7
C) x = 12
D) x= -8

Answers

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Mr. Grant's credit card bill was $2,684.72. If he has already paid off $1,865.24 of the amount due, how much more does he have to pay?
A.
$817.48
B.
$819.48
C.
$821.41
D.
$822.48
E.
$825.41

Answers

Answer: for plato users .

B. $819.48

Step-by-step explanation:

Zoe paid 18.60 in sales tax and tips for dinner. The sales tax is 11% and she tipped 20%. What was the price of Zoe’s dinner before sales tax and tip?

Answers

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

Sales tax = 11% * original price = 0.11 * x= 0.11xTips for dinner = 20% * original price = 0.20 * x = 0.2x0.11x + 0.2x = 18.600.31x = 18.60x = 60$60 was the price of Zoe's dinner, before sales tax and tip.

Answer:

$60 was the price of Zoe's dinner, before sales tax and tip.

Step-by-step explanation:

1. Sales tax = 11% times original price = 0.11 times x= 0.11x

2. Tips for dinner = 20% times original price = 0.20 times x = 0.2x

3. 0.11x + 0.2x = 18.60

4. 0.31x = 18.60

5. x = 60

6. $60 was the price of Zoe's dinner, before everything else

Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14?

y = 2x + 7
y = 4x + 14
y = -2x + 7
y = -4x + 14

Answers

the answer would be: y = 2x + 7 .

which graph represents the system of equation? Y greater than negative 1/3 x + 4 + 2x - 3y less than equal to 12 ​

Answers

Answer:7x/3 - 3y +4 hope this helps!

Step-by-step explanation:

point)
Complete the missing value in the solution to the equation:
6x + x = y + 2x
(3,

Answers

Answer:

-2

Step-by-step explanation:

{(0, 1), (1, 4), (2, 5), (3, 7)}
not a function or function

Answers

Answer:

It's a function

Step-by-step explanation:

a water tower casts a shadow that is 21ft long.a tree casts a shadow that is 8ft long estimate the height of the water tower

Answers

Answer:

I ain't never seen 2 pretty bestfriends

Step-by-step explanation:

SOMEONE PLEASE ANSWER
the equation is 7x-3 over 9 > 8-2x

Answers

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Solve 4x + 8y = 16 for x.
O A. x=-8y + 4
O B. x= -2y+ 16
O C. x= -2y+ 4
D. X = 8y + 16

Answers

I got x = 4-2y

4x+8y=16
-8y=-8y

4x=16-8y
— ——-
4 4

x=4-2y
C) X = -2y + 4

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

help fast please it's timed ​

Answers

Answer:

2x= 3x-7

-x=-7

x=7

so, the first option

Step-by-step explanation:

what is the coefficient of -2x+8=10 ​

Answers

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

#3, #19, and #16 please!!

Answers

To answer number 3 all you have to do is put 15 times x <_ 12 (put a line directly underneath the sign)

To answer number 19, do 21-11= 10 This means that X=10

X(10) plus 11=21

21=21

[10 + 11] >_ 21


To solve 16.

Add 3 to 13 to get 16

Then you’ll have [3x +4] >_ 16

Once you have this, subtract 4 from both sides.

Then you’ll have 3x>_ 12

Now you can divide each side by 3 to get x>_4. X=4

So if we plug that in [3x +4] >_ 13, you’ll get

[3(4) +4] >_ 13

And then you’ll get

[16] >_ 13


I hope this helps!!

The diameter of a circle is 10 m. Find its circumference in terms of \piπ.

Answers

Answer:

31.42 m

Step-by-step explanation:

10* π= 31.415( which can round to 31.42)

Step-by-step explanation:

Diameter= 10 m

Circumference of a circle= π×Diameter

= π×10

= 31.41593 or 31.42

Multiply the vector in the graph by a scale factor of Negative one-half.
The resulting vector will be
✔ shorter than
the original vector.
The resulting vector will be in Quadrant
✔ II
shorter than and II are the answers

Answers

Answer: The answer is shorter than and ll

Step-by-step explanation:

When multiplying the vector in the graph by a scale factor of -1/2. The resulting vector will be shorter than and II. Option D is correct.

Multiply the vector in the graph by a scale factor of Negative one-half.The resulting condition for the vector is to be determined.



What is the scale factor?

The scale factor is defined as the ratio of modified change in length to the original length.

What is a vector?

A vector is defined as phenomenon that has two independent belongings magnitude and direction. The term also denotes the mathematical or geometrical replica of such a quantity. Norms of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

Here, The scale factor is -1/2, where a negative sign shows that the vector will get inverted and 1/2 implies that it will be shortened by 1/2.

Thus, when multiplying the vector in the graph by a scale factor of 1/2. The resulting vector will be shorter than and II. Option D is correct.


Learn more about scale factors here:
https://brainly.com/question/22312172

#SPJ5

1) Slope = -4, y-intercept = 2

Answers

What’s the question?

Please help my grade are low!!

Answers

Answer:

250%of4.4=look it up girl

Step-by-step explanation:

Please, i need help on how to solve problems like these. I dont understand and i wasnt in class when they taught it to us. PLzzzz.Will make it the brainiest if its corrected and explaining how to solve problems like these.

Answers

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Solve for y y + 7 = 9

Answers

Answer:

y = 2

Step-by-step explanation:

Given

y + 7 = 9 ( subtract 7 from both sides )

y = 2

Simplifying

y + 7 = 9

Reorder the terms:

7 + y = 9

Solving

7 + y = 9

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.

7 + -7 + y = 9 + -7

Combine like terms: 7 + -7 = 0

0 + y = 9 + -7

y = 9 + -7

Combine like terms: 9 + -7 = 2

y = 2

Simplifying

y = 2

-FrxziteTheLxoser- I hoped i helped you today! :)

The amount of time between interest payments is known as:
A. period.
B. simple interest.
C. interest.
D. principal.

Answers

A. period.

This is the answer

i’m pretty sure it a period

PLEASE HELP!!!!!!!!! 32 POINTS.

Answers

The answer is 96 for this

Sandy has 15 roses, 5 daisies, and 10 tulips. She wants to arrange all the flowers in bouquets. Each bouquet has the same number of flowers and the same type of flower. What is the greatest number of flowers that could be in a bouquet?

Answers

Answer:

5

Step-by-step explanation:

Sandy has 15 roses, 5 daises and 10 tulips

She wants to arrange the flower in such a way that each bouquet will have the same flower in it

Therefore the greatest number of flowers that will be in each bouquet is 5 flowers this is so inorder to make each bouquet contain equal number of flowers, this means that one bouquet must not be greater than the other.

Find the unit rate

5 calculators cost $180 ________________________



Mowed 6 yards for $30 ________________________



10 chocolate bars cost $17 ____________________



5 movie tickets cost $35 __________________________



$19 for 5 books _______________________________



200 bagels in 2 hours ________________________




56 people can ride the Ferris Wheel in 4 hours _____________



5 cans of green beans for $3.20 ______________________



3 pounds of bananas for $3.06 ________________________




4 tickets to the movies costs $36 ___________________

PLEASE HELP BRAINLIEST IF CORRECT

Answers

Answer:

vvvvvvvv

Step-by-step explanation:

A.36

B.5

C.1.70

D.7

E.3.80

F.100

G.14

H.0.64

I.1.02

J.9

Basically you dived the two numbers for your awnser

On Saturday, 200 people visited a farmer’s market. Of those who visited, 40% were children. How many children visited the farmer’s market on Saturday?

Answers

200 * 0.40 = 80
80 children

Answer:

80 children

Step-by-step explanation:

(200 * 40) /100 = 80

Emma's sister is nine years older
than Emma. Their combined ages
add up to 49. How old is Emma?
(The answer isn’t 40 bc it say that her sister is 9 years OLDER then Emma) pls help

Answers

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

What's the answer to this?

Answers

Answer:

3 the answer is 3

Step-by-step explanation:

help with these equations please!

Answers

1) yes
2) x=-4,y=-7
3) x= -3, y=4
4) x= -1, y=2
5) x= -5, y=-8

please helppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The unit rate would be 11/2. Hope this helped.

I have a math question I need help answering.

determine the account balance at 2 years if $20,000 was invested in an account that conference annually at 4.5 % per year. Round to the nearest cent.

Answers

The answer should be $21,840.50

Explanation:

20000*1.045=a (first year)
a*1.045=b (second year)
b = 21840.5

Write an equation that represents the transformations formed by the following items:


(a) horizontally shifting the graph 4 units to the left of f(x) = √x and then vertically compression by a factor of 1/3

(b) vertically stretching the graph by a factor of 4 of f(x) = √x and then vertically shifting the graph 3 units up

(c) horizontally stretching the graph of f(x) = √x by a factor of 2 and then vertically shifting the graph 6 units down

Answers

Answer:

a) [tex]f(x) = \frac{1}{3} \sqrt{x+4}[/tex]

b) [tex]f(x)=4\sqrt{x} + 3[/tex]

c) [tex]f(x) = 2\sqrt{x} -6[/tex]

Step-by-step explanation:

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

There are some transformations are given.

Now,

For (a);

The function is horizontally shifting the graph 4 units to the left of

f(x) = √x.

So, The function become;

f (x) = √(x + 4)

And, Then vertically compression by a factor of 1/3.

So, The function become;

f (x) = 1/3 √(x + 4)

For b:

The function is vertically stretching the graph by a factor of 4 of f(x) = √x.

So, The function become;

f (x) = √x + 3

And, Then vertically shifting the graph 3 units up.

So, The function will be;

⇒ f (x) = 4√x + 3

For c;

The function is horizontally stretching the graph of f(x) = √x by a factor of 2.

So, The function become;

f (x) = 2√x

And, Then vertically shifting the graph 6 units down.

So, The function will be;

⇒ f (x) = 2√x - 6

Thus,

a) The function will be;

⇒ f (x) = 1/3 √(x + 4)

b) The function will be;

⇒ f (x) = 4√x + 3

c) The function will be;

⇒ f (x) = 2√x - 6

Learn more about the translation visit:

https://brainly.com/question/1046778

#SPJ2

,

Other Questions
5. How does Seora Ines's offer of money affect Rosaura? 1.Find the standard deviation of the data.2.Explain what the mean and standard deviation tell you about the data youcollected PLEASE HELP QUICK ILL MARK BRAINLIEST identify three strategies that can be used to control your emotions. What land is known as the "transitional (semi-arid) land" in Africa that is in-between the savanna and the desert?*A. SaharaB. SahelC. savannaD. tropical rainforest Imagine that you are studying animals that live in intertidal zones, and you have just discovered a new animal. Describe the animal and adaptations the animal has to survive in the intertidal zone. Caroline's cell phone plan costs $32 per month. Which table shows the sum of the amountsthat Caroline will pay for her cell phone plan over the next 4 months?Caroline's Cell Phone PlanFMonth1234Total Amount Paid$0$32$64$96Caroline's Cell Phone PlanGMonth1234Total Amount Paid$8$16$24$32Caroline's Cell Phone PlanHMonth23Total Amount Paid$32$36$40$44Caroline's Cell Phone PlanMonth1234Total Amount Paid$32$64$96$128 Why is a map considered a model? The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half mile every 8 minutes. Assume he walks at a constant rate. predict the shape of the graph of the function Which conflict reaction involves a choice of whether or not to do something when part of the situation is attractive but the other is not? approach avoidance multiple approach approach approach avoidance avoidance Under the Articles of Confederation, trade between the states was hard because each state had its ownA. moneyB. legislatureC. militaryD. territory Car Survey In a survey of 2,900 people who owned a certain type of car, 1,450 said they wouldbuy that type of car again. What percent of the people surveyed were satisfied with the car? Whats the difference between budding, parthenogenesis give two examples? I need help!! Worth 17 points!! If you had to choose one device to use with the battery, what would it be? Do you think such a battery could be inventedsomeday? Explain casey's den is 10feet longer than it is wide. If the den's area is 119 square feet, what are the dimensions of the room? Jefferson, the leader of the Democratic-Republican Party, reduced ____. Name 2 types of commercial protection used during menstruation and give an example of each During the Civil War, the Union navytried and failed to capture Vicksburg.captured Vicksburg in 1862.captured Vicksburg in 1863.had no interest in capturing Vicksburg. Which phrase best describes a scenario in Excel 2016?A. a type of what-if analysis that allows a user to define a single variable for a single function or formulaB. a type of what-if analysis that allows a user to define multiple variables for multiple functions or formulasC. a type of chart analysis that allows a user to predict outcomes using dataD. a type of chart analysis that allows a user to set predetermined outcomes using data All ratios equivalent to 24:12