the question is below

The Question Is Below

Answers

Answer 1

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

[tex]\frac{B_1 + B_2}{2}* h[/tex]

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

3 * 19.7559.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : [tex]a^2 + b^2 = c^2[/tex]

a is a legb is a legc is the hypotenuse

Images attached for your reference

The Question Is Below
The Question Is Below

Related Questions

I’m not sure the steps to figure out the problem. X = 2 to x =4

Answers

Answer:

you have to put the Y in the formula or make a comparison

URGENT I NEED IT NOW PLEASE HELP ME!!!!

Answers

The fourth one because they at minimum need that amount not the most. The answer is option 4 or the last option

Choose the expression that represents 3 less than 7 times a number

Answers

Answer:

7x - 3, x being the number

Step-by-step explanation:

number = x

7x - 3

Answer:

Three less than 7 times a number is 39.

Step-by-step explanation:

How many solutions does this nonlinear system of equations have?​

Answers

Answer:

ONE “1”

Step by step:

Taking into account the definition of a system of equations, this nonlinear system of equations has one solution.

A system of equations is a set of two or more equations that share two or more unknowns. The solutions of a system of equations are all the values that are valid for all equations.

That is, to find the solution to a system of equations, you must find a value (or range of values) that satisfies all the equations in the system.

Graphically, the points where the graphs of the equations intersect will be the solutions to the system.

A system of equations with a linear equation and a quadratic equation can have two, one, or no solutions. To find its quantity, we must look for the intersection between both graphs:

If the graphs of the equations do not intersect, then there are no solutions for both equations. If the parabola and the line touch at a single point, then there is a solution for both equations. If the line intersects the parabola in two places, then there are two solutions to both equations.

In this case, you can see that the parabola and the line touch at a single point. Then there is a solution for both equations.

In summary, this nonlinear system of equations has one solution.

On average five birds hit the Washington Monument and are killed each week. Joe, an
official, has requested that Congress allocate funds for equipment to scare birds away
from the monument. A congressional subcommittee has replied that funds cannot be
allocated unless the probability of more than three birds being killed in any week
exceeds 70%. Will funds be allocated?

Answers

Answer:

Yes

Step-by-step explanation:

An average of five birds hit the monument each week and in order to receive the funds, more than three birds have to be killed in a week

Can somebody help me pls!

Answers

Answer: C

Step-by-step explanation:

Just look at a z-score table and multiply by 100.

-> (0.308538)(100) is about 30.85%

f ( 1 ) =
solve f ( x ) =1:
x =

Answers

Answer:

If b=5:7, find the value of B in terms of c

A shelf at a grocery store contains 500 packages of corn and flour tortillas. If 22% of the packages are flour tortillas, how many of the packages are corn tortillas?

Answers

Answer:390

Step-by-step explanation:

500*.22=110

500-110=390

390

Answer:

390

Step-by-step explanation:

22% of 500 is 110 so that would make the answer 390 i think

What is the median of this data set?
{29, 22, 23, 31, 29, 29, 22, 23}

Answers

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

Hello!

In order to find the median of a dataset, we should first order the numbers in the dataset from least to greatest:

29, 22, 23, 31, 29, 29, 22, 23

The smallest number is 22, then 23, then 29, then 31:

22, 22, 23, 23, 29, 29, 29, 31

How many numbers are in this set? 8. An even number!

So we find the mean of the 2 numbers in the middle (23 & 29)

We add these numbers and then divide by 2 (because we have 2 numbers)

[tex]\bf{\displaystyle\frac{23+29}{2}}[/tex]

[tex]\bf{\displaystyle\frac{52}{2}}[/tex]

Which is equal to

[tex]\boxed{\bigstar{\text{Answer:{\boxed{\boxed{26}}}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.

Rule: Multiply the input by 5. Then subtract 4 from the result to get the output.

Which input and output table works for the rule?

Choose 1 answer:

(Choice A)

Input: 5 Output: 5

(Choice B)

Input: 3 Output: 7

(Choice C)

Input: 2 Output: 6

Answers

Answer:

Choice C - Input: 2 Output: 6

Answer:

C

Step-by-step explanation:

evaluate the output for the given input values using the rule

choice A

5 × 5 - 4 = 25 - 4 = 21 ≠ 5

choice B

3 × 5 - 4 = 15 - 4 = 11 ≠ 7

choice C

2 × 5 - 4 = 10 - 4 = 6 ← equals the output value

How do you write 7,100 in scientific notation

Answers

Answer:

7.1 x 10³

Step-by-step explanation:

Move your decimal so that it follows your first whole number greater than zero. The number of places you moved the decimal is the same as the exponent. Since the number 7.1 needs to INCREASE to be 7,100, then the exponent is positive.

Answer:

7.1 x 10[tex]^{3}[/tex] (note the 3 is an exponent)

Step-by-step explanation:

1. Count how many places there are to the right of 7

2. There are 3

3. Apply the formula of scientific notation a x 10[tex]^{b}[/tex]

4. 7.1 x 10[tex]^{3}[/tex]  (remove all digits after 7.1  

Hope this helps :)

Help picture below problem 14

Answers

Answer:

100

Step-by-step explanation:

Since l and r Parrell lines that means the measure of 4 is 80 since there vertical angles. And then  1 and 4 needs to be supplementary which means the two angles combined equals 180. so 180-80=100

so 1s angle measure is 100

General solution of: (1-xy)^-2 dx + [y^2 + x^2 (1-xy)^-2]dy = 0


show two solution on your answer

nonsense answer deleted​

Answers

✒️MATHEMATICS

[tex] \Large \bold{SOLUTION\ 1:} [/tex]

[tex] \small \begin{array}{l} \text{First, we need to check if the given differential} \\ \text{equation is exact.} \\ \\ (1-xy)^{-2} dx + \big[y^2 + x^2 (1-xy)^{-2}\big]dy = 0 \\ \\ \dfrac{dx}{(1-xy)^2} + \left[y^2 + \dfrac{x^2}{(1-xy)^2}\right]dy = 0 \\ \\ \quad M(x, y) dx + N(x, y) dy = 0 \end{array} [/tex]

[tex] \small \begin{array}{l l}\tt\: M(x,y) = \dfrac{1}{(1 - xy)^2}, & N(x,y) = y^2 + \dfrac{x^2}{(1-xy)^2}\\ \\\tt \dfrac{\partial M}{\partial y} = \dfrac{-2(-x)}{(1 - xy)^3}, & \dfrac{\partial N}{\partial x} = \dfrac{2x}{(1 - xy)^2} + \dfrac{-2(-y)x^2}{(1 - xy)^3} \\ \\\tt \dfrac{\partial M}{\partial y} = \dfrac{2x}{(1 - xy)^3}, & \dfrac{\partial N}{\partial x} = \dfrac{2x(1 - xy)+2x^2y}{(1 - xy)^3} \\ \\\tt \: & \dfrac{\partial N}{\partial x} = \dfrac{2x}{(1 - xy)^3} \end{array} [/tex]

[tex] \small \begin{array}{l} \tt\dfrac{\partial M}{\partial y} = \dfrac{\partial N}{\partial x} \implies \text{Differential equation is exact.} \\ \\\tt \dfrac{\partial F}{\partial x} = M(x, y) = \dfrac{1}{(1 - xy)^2} \\ \tt\displaystyle F(x, y) = \int \dfrac{1}{(1 - xy)^2} \partial x = -\dfrac{1}{y} \int \dfrac{1}{(1 - xy)^2}(-y)\partial x \\ \\ \tt\:F(x, y) = \dfrac{1}{y(1 - xy)} + h(y) \\ \\ \tt\dfrac{\partial F}{\partial y} = N(x, y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\\tt \dfrac{\partial}{\partial y}\left[\dfrac{1}{y(1 - xy)} + h(y)\right] = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ \tt-\dfrac{1 - xy + y(-x)}{y^2(1 - xy)^2} + h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ \tt-\dfrac{1 - 2xy}{y^2(1 - xy)^2} + h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} \\ \\ h'(y) = y^2 + \dfrac{x^2}{(1-xy)^2} + \dfrac{1 - 2xy}{y^2(1 - xy)^2} \\ \\ \tt\:h'(y) = y^2 + \dfrac{x^2y^2 - 2xy + 1}{y^2(1-xy)^2} = y^2 + \dfrac{1}{y^2} \\ \\ h(y) = \dfrac{y^3}{3} - \dfrac{1}{y} + C \\ \\ \tt\text{Substituting to }F(x,y),\text{we get} \\ \\ \dfrac{1}{y(1 - xy)} + \dfrac{y^3}{3} - \dfrac{1}{y} = C \\ \\ \quad \quad \text{or} \\ \\ \tt\red{\boxed{\dfrac{x}{1 - xy} + \dfrac{y^3}{3} = C} \Longleftarrow \textit{Answer}} \end{array} [/tex]

[tex] \Large \bold{SOLUTION\ 2:} [/tex]

[tex] \small \begin{array}{l} \tt\text{Since we already know that the equation is exact,} \\ \text{we can then continue solving for the solution by} \\ \text{inspection method or by algebraic manipulation.} \\ \\ \tt(1-xy)^{-2} dx + \big[y^2 + x^2 (1-xy)^{-2}\big]dy = 0 \\ \\ \tt\dfrac{dx}{(1-xy)^2} + \left[y^2 + \dfrac{x^2}{(1-xy)^2}\right]dy = 0 \\ \\ \tt\dfrac{dx}{(1-xy)^2} + y^2 dy + \dfrac{x^2}{(1-xy)^2} dy = 0 \\ \\ \tt\dfrac{dx + x^2dy}{(1-xy)^2} + y^2 dy = 0 \\ \\ \tt\text{Divide both numerator and denominator of the} \\ \tt\text{fraction by }x^2. \end{array} [/tex]

[tex] \small \begin{array}{c}\tt \dfrac{\dfrac{1}{x^2}dx + dy}{\dfrac{(1-xy)^2}{x^2}} + y^2 dy = 0 \\ \tt\\ \tt\dfrac{\dfrac{1}{x^2}dx + dy}{\left(\dfrac{1}{x}-y\right)^2} + y^2 dy = 0 \\ \\ \tt-\dfrac{\left(-\dfrac{1}{x^2}dx - dy\right)}{\left(\dfrac{1}{x}-y\right)^2} + y^2 dy = 0 \\ \\ \tt\displaystyle {\large{\int}} -\frac{d\left(\dfrac{1}{x}-y\right)}{\left(\dfrac{1}{x}-y\right)^2} + \int y^2 dy = \int 0 \\ \\ \tt\implies\tt \dfrac{1}{\dfrac{1}{x}-y} + \dfrac{y^3}{3} = C \\ \\\text{or} \\ \\ \tt\red{\boxed{\dfrac{x}{1 - xy} + \dfrac{y^3}{3} = C} \Longleftarrow \textit{Answer}} \end{array} [/tex]

#CarryOnLearning

#BrainlyMathKnower

Describe how to find the sale price of an item that has been discounted 15%

Answers

multiply the initial price by the percentage. move the decimal two places to the left

p=price
q=percentage

p x q=total

p - total= answer

30 x 15=450

30 - 4.50= 25.5

sale price= 25.5

Find the value of X and perimeter.

Answers

Answer:
See below.

Step-by-step explanation:
TQ & UQ are 2 tangents from the same external point 'Q' and touches the same circle with centre 'W'.

Given,
UQ = 14 in

Then,
TQ = UQ = 14 in (tangents from same external points are equal to each other)

•°• TQ
= 14
= 7 × 2
=》x = 7 inch

___________
ST = SV = 17 in

Then,
RV
= RS - SV
= 27 - 17
= 10 in

RU = RV = 10 in

Perimeter:
= RS + RQ + SQ
= 27 + (14 + 10) + (14 + 17)
= 27 + 24 + 31
= 82 in


______
Hope it helps ⚜


g[f(x)] if g(x) = x2 and f(x) = x + 3.

Answers

(x+3)2
you need to substitute x in function g(x) with the entire function of f(x)

Shoe Size

2
4
6
8
10
12

At soccer practice, Mike asked each of his teammates to write down their shoe size.
What is the interquartile range for Mike's teammates' shoe sizes?

Answers

Answer:

2

Step-by-step explanation:

To find the interquartile range, subtract the lower quartile from the upper quartile.

The upper quartile is 7.

The lower quartile is 5.

Subtract.7–5=2

The interquartile range for Mike's teammates' shoe sizes is 2 sizes.

The interquartile range for Mike's teammates' shoe sizes is R = 2

What in Interquartile Range ( IQR )?

The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.

The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.

Given data ,

Let the interquartile range be represented as R

Now , the equation will be

Let the shoe sizes be represented as set A

A = { 2 , 4 , 6 , 8 , 10 }

Now , the upper range of the quartile is = 7

The lower range of the quartile is = 5

And , the interquartile range R = upper quartile - lower quartile

On simplifying , we get

The interquartile range R = 7 - 5 = 2

Hence , the interquartile range R = 2

To learn more about interquartile range click :

https://brainly.com/question/15686744

#SPJ3

A High School’s football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team? Please help!

Answers

The answer would be 4,760 fans.
Explanation: 7,000 x .68 =4,760
Hope this helps and please mark brainliest!!!

Find the factorization of the polynomial below.

81x^2 - 18x + 1

A. (9x + 1)^2

B. (18x + 1)^2

C. (18x - 1)^2

D. (9x - 1)^2

Answers

Answer:

[tex](9x-1)^2[/tex]

Step by step explanation:

[tex]81x^2-18x+1\\\\=81x^2 - 9x-9x+1\\\\=9x(9x-1)-(9x-1)\\\\=(9x-1)(9x-1)\\\\=(9x-1)^2[/tex]

what is the awnser to 5+(5x20)x 30

Answers

Answer: 3005

Step-by-step explanation: multiply 5 by 20 and it will give 100 then times 30 Equals 3000 and plus gives 3005 . Please mark brainliest

Answer:3005

Step-by-step explanation :multiply 5 by 20 and it will give 100 then multiply by 30  that Equals 3000 and plus 5 that gives you 3005

a) the cost of. kg oranges is rs 350 how many kg of oranges can be bought for rs 665
b.). A car travel for 50 km.with the help of 5 litres of petrol how many litres of petrol is reauired to travel 120 km​

Answers

A: 1.9 Kilograms of oranges for rs 665.

B: 12 liters of petrol will make a car travel 120 km.

Solve the system of equations:

4x-5y=21
3x+10y= -53

Answers

Step-by-step explanation:

2× (4x-5y) = 21

3x+10y= -53

-------------------------

8x-10y = 42

3x+10y=-53

------------------------

11x= -11

{x=-1}

-----------------

3x+10y=-53

x=-1

3(-1)+10y=-53

-3+10y=-53

10y= -50

{y=5}

Find the slope of the line that passes through the two given points:

(-1, 4) and (5, 3)
A line starting in the third quadrant, crossed the x axis twice, and then ending in the first quadrant

Answers

Answer:

[tex] \frac{ - 1}{6} [/tex]

Step-by-step explanation:

[tex]slope \: = \frac{y2 - y2}{x2 - x1} \\ slope = \frac{3 - 4}{5 - - 1} \\ sope = \frac{ - 1}{ \: \: \: 6} [/tex]

Luke's house is due west of Toronto and due south of Barrie. Toronto is 16 kilometres from Luke's house and 20 kilometres from Barrie. How far is Barrie from Luke's house, measured in a straight line?

Answers

Using the Pythagorean Theorem, it is found that Barrie is 12 miles from Luke's house, in a straight line.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

This problem can be modeled by a right triangle, with [tex]l_1 = 16, l_2 = d, h = 20[/tex], hence:

[tex]h^2 = l_1^2 + l_2^2[/tex]

[tex]16^2 + d^2 = 20^2[/tex]

[tex]d^2 = 144[/tex]

[tex]d = 12[/tex]

Barrie is 12 miles from Luke's house, in a straight line.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

Find the measure of ∠ABC.

Answers

Answer:

170°

Step-by-step explanation:

There is a total of 180° and the angle is 10° less...

So, 180°-10° = 170°

Please 5 stars if correct!!!

I hope this helps!!!

Alice is making bracelets to sell. She plans to put 12 beads on each bracelet. Beads are sold in packages of 20.

#1. What is the least number of packages she can buy to make bracelets and have no beads left over?

#2 If each package of beads costs $5.50, how much will the beads cost for her project?


Show and Explain your work
Hint: the “T” Method works well for show and explain. Make sure you have all of the details explained. If someone only read your explanation they should know… what the question is, all of the steps needed to answer the question and what your final answer is.

Answers

Answer:

question 1 is 60 beads and question 2 is 16 dollars and 50 cents.

Step-by-step explanation:

for question 1 the are asking for the lowest common denomonator (60)

for question 2 you devide 60/20 and multiply by 5.50

3 x 5.50 = 16.5$

Please help I'll mark brainliest​

Answers

✿————✦————✿————✦————✿————✦————✿

So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.

10.4 = (x1 +x2 +x3 ... +x20 )/20

Then;

10.4*(20) = (x1 +x2 +x3 ... +x20 )

208 = sum of the first 20 seasons

We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.

Mean = (208+14)/21  

✿————✦————✿————✦————✿————✦————✿

Answer

= 10.6

✿————✦————✿————✦————✿————✦————✿

#carryonlearning

A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for .)
A.
226.08 cm2
B.
2,034.72 cm2
C.
1,017.36 cm2
D.
56.52 cm2

Answers

option C

hope it helps...!!!

Answer:

[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]

Step-by-step explanation:

Given:

circumference of circular dinner plate= 113.04 cm

To find:

Area of dinner plate = ?

Solution:

circumference = 113.04 cm.

we know that circumference = 2πr

[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]

We know that,

Area of circle = πr²

now substituting value of r in above formula,

[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]

[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]

Thanks for joining brainly community!

Which number is a common multiple of 2 and 4?

A) 14

B) 24

C) 26

D) 34

LAST QUESTION MORE POINTS!

Answers

Answer:

Step-by-step explanation:

c I think I did the math that’s what it leads to so yeah

As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.

The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.

I need help with part B

Answers

Answer:

  A. Find h(10) = 0 . . . (it is not)

  B. h(5.235) = 0; hang time was about 5.235 seconds

Step-by-step explanation:

The hang time of the ball is the value of x in h(x) such that h(x) = 0.

__

A.

Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...

  h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0

Juan cannot prove the hang time was 10 seconds.

__

B.

The hang time is the solution to ...

  h(x) = 0

  -16x² +83x +4 = 0 . . . . . use the given expression for h(x)

  x² -5.1875x = 0.25 . . . . divide by -16

  x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²

  (x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square

  x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x

The hang time of the ball was about 5.235 seconds.

__

We like a graphing calculator for finding a quick solution to questions like this.

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