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

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The Question Is Below
The Question Is Below

Related Questions

At Daniel's Swimwear, there are 76 bikini styles and 4 other types of swimsuit. What percentage of the swimsuit styles are bikinis?

Answers

Total swimwear = 76 bikinis + 4 other types = 80 total


divide number of bikinis by total swimwear then multiply by 100:


76/80 = 0.95

0.95 x 100 = 95%

Answer: 95% are bikinis

Please help me .................

Answers

that is correct

Step-by-step explanation:

Find the Perimeter

Length - 152 cm
Breadth- 120 cm

Answers

Step-by-step explanation:

Perimeter=2(l+b)

=2(152+120)

=544 cm

Find the slope and y-intercept for the graph of the equation
6x - 4y = -36

Answers

Answer:

[tex]y = \dfrac{3}{2} x + 9[/tex]

Step-by-step explanation:

We would like to write the given equation in slope intercept form of the line .

[tex]\longrightarrow 6x - 4y = -36 [/tex]

The slope intercept form of the line is [tex] y = mx + c [/tex] , where

[tex] m[/tex] is the slope [tex] (x,y)[/tex] is a point on the line .[tex] c [/tex] is the y intercept .

we can rewrite the given equation as ,

[tex]\longrightarrow 6x - 4y = -36 \\ [/tex]

[tex]\longrightarrow -4y = -36 -6x \\ [/tex]

[tex]\longrightarrow -4y = -6( x + 6)\\[/tex]

[tex]\longrightarrow y =\dfrac{-6}{-4}(x + 6)\\[/tex]

[tex]\longrightarrow y = \dfrac{3}{2}(x+6)\\ [/tex]

[tex]\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6\\[/tex]

[tex]\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}[/tex]

This is the required equation of line in slope intercept form , with ;

[tex]m = \dfrac{ 3}{2} [/tex][tex]c = 9[/tex]

Answer:

Refer to the attachment

A shop sells pairs of trainers for £68 each. They make a percentage profit of 70% on each pair.
What was the cost of each pair of trainers to the shop?

Answers

Answer:

70% of £68 gives £47.6 for each trainer

Answer:

100-70/100 *£68

Step-by-step explanation:

£40.8

therefore, each pair of trainers cost£40.8

Please help I'll mark brainliest ​

Answers

Answer:

Athletes swim 3/20 kilometer for every kilometer they run.

Step-by-step explanation:

3/20 = .15

multiply 10 by 3/20

10 * .15 = 1.5

Answer:

3/20 kilometers for every kilometer ran

Step-by-step explanation:

divide

Mike spins a spinner and flips a coin. What
is the probability of getting E on the spinner
and the coin landing on heads?

Answers

P(E)*P(heads)
=3/8*1/2
=3/16

Which inequality represents all possible solutions of -6n < -12?
A n<72
B n>2

C n<2
D n> 72

the last question i posted someone tried to ip grab me

Answers

[tex]-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2[/tex]

Which statements are true of continuous data?
It is used in pictographs.
It is used in line graphs.
It can be any value within a range.
It can only have certain values.

Answers

It is used in line graphs.

Answer:

It is used in line graphs.

It can be any value within a range.

Step-by-step explanation:

Line graphs use :

Track numerical data over time within any value range therefore it is considered continuous data.  

A  line graph is a way to display data (information) that changes over time using a series of points joined with a straight line.

The line along the bottom is called the horizontal or (x-axis). Use this line to show time, days, weeks, months , or years.

The line up the side is called the vertical or (y-axis) is the value being measured, it starts at 0 and number it in even increments ; separated by twos, fives, tens, or hundreds.

a thousand dollars is left in a credit union drawing 7% compounded monthly. what is the balance at the end of 10 years​

Answers

Answer:

$9400

Step-by-step explanation:

You start with $1000 and get 7% more every month.

7% of 1000 is 70 so that means $70 is added to the credit union each month.

So you add $70 dollar to $1000 for every month there is which would be 12 months timers the ten years:

1000 + (70 x 12 x 10) = 9400

Solve completely (all missing sides and all missing angles) using trig ratios or laws. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

3. Use Cosine law to find the  length of the unknown side (PR)

q² = p² +  r² - 2prCos Q

q is the opposite side of ∠Q;  

p is the opposite side of ∠P; p = 33

r is the opposite sides of ∠R ; r = 67

q² = 33² + 67² -  2* 33*67 Cos 19°

    = 1089 + 4489 - 4422 * 0.95

     = 1089 + 4489 - 4200.9

    = 1377.1

q = √1377.1

q = 37.1

PR = 37.1

To find the angle use law of sin

[tex]\sf \dfrac{q}{Sin \ Q} =\dfrac{p}{Sin \ P}\\\\\\\dfrac{37.1}{Sin \ 19}=\dfrac{33}{Sin \ P} \\\\\\\dfrac{37.1}{0.33}=\dfrac{33}{Sin \ P}\\\\\\37.1* Sin \ P = 33 *0.33\\\\Sin \ P =\dfrac{33*0.33}{37.1}[/tex]

Sin P = 0.3

[tex]P = Sin^{-1} 0.3\\[/tex]

P = 17.5°

∠R = 180 - (19 + 17.5)

    = 143.5°

This hard anyone help?

Answers

Answer:

Step-by-step explanation:


The debate team has 2 members. Each member sold c coupon books as a fundraiser. Write
an expression that shows the number of coupon books the club sold.

Answers

The equation is y = 2c

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

Answer:

x = 3, 2

Explanation:

x² - 5(x) + 6 = 0

breakdown

x² - 3(x) - 2(x) + 6 = 0

takeout common terms

x(x - 3) - 2(x - 3) = 0

factor

(x-3) ( x-2) = 0

simplify

(x-3)=0, ( x-2) = 0

final answer

x = 3, 2

& TW CV Name: Math Buzz Eden's mom bought 3 cartons of organic eggs at the farmer's market. Each carton holds a dozen eggs. After she got home, she combined the eggs she bought at the market with the 4 eggs left in the refrigerator. Determine the total number of eggs. Write an equation with the lettere to represent the unknown quantity and solve. equation:​

Answers

Answer:

40 eggs

Step-by-step explanation:

(12 x 3) + 4 = x

36 + 4 = x

40 = x

40 eggs total

3x + 5

it should be equal to 65 i just need to know how to do it

Answers

Answer:
x = 20

Step-by-step explanation:

to make 3x + 5 = 65, first you can subtract 5 from 65, then divide. 60/3, which equals 20, so x = 20

I don’t understand this question

Answers

Answer:

First pair:       -4 and 8

Second pair: -2 and 6

Third pair:     -1 and 5

Step-by-step explanation:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

Hope this helps

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850. The stock in Company A has increased 20% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

Answers

Answer:

Step-by-step explanation:

Final Answer: 19.5%

The total percentage 19.5% increase in the investor's stock account

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5900 and his stock in Company B was worth $1850.

The total worth is $5900 + $1850 = $7750

The stock in Company A has increased 20% since last year.

So,

20% of 5900,

= 20 x 5900 /100

= $1180

And the stock in Company B has increased 18%.

So,

18% of 1850,

= 18 x 1850/100

= $333

The total increased amount,

= $333 + $1180

= $1513

The increased percentage,

1513 = n x 7750/100

n = 1513 x 100/7750

n = 19.522

n = 19.5% to the nearest tenth.

Therefore, 19.5% is the required percentage.

To learn more about the percentage;

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Here are two fractions.
3/10 5/7

Work out which of the fractions is closer to 1/2

You must show your working.

Answers

Answer:

5/7

Step-by-step explanation:

Umm because the denominator 7 is less than 10 and 7 is the nearest number to 1/2

I hope it helps

An athlete runs in a straight line along a flat surface. He starts from rest and for 20 seconds accelerate at a constant
rate. In this first 20 seconds he covers a distance of 100m. For the next 10 seconds he runs at a constant speed and
then decelerates at a constant rate for 5 seconds until he stops.
a) What is the total distance that he ran?
[5]
Another athlete runs along the same track, starting from rest and she accelerates at the same rate as her friend. She
however only accelerates for 10 seconds before running at a constant speed.

Answers

Answer:

probably 200

Step-by-step explanation:

or something like that

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails). Complete the table and the sentence beneath it. Die 1 2 3 4 5 6 Coin heads H-1 H-2 H-3 H-5 H-6 tails T-1 T-3 T-4 T-5 The size of the sample space is .

Answers

The size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin.

The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

tails T-1 T-3 T-4 T-5

Hence, the size of the sample space is { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

To learn more on probability click:

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Answer:

hope this works for you

Step-by-step explanation:

Jessica bought a $30 outfit for $17. What percent discount did she receive?

Answers

Answer:

Around 57%

Step-by-step explanation:

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

Estimate: 57%

Answer:

43.33%

Step-by-step explanation:

30 - 17 = $13

% discount = 13*100 / 30

= 43.33%

Find the 10th term, 18, 72,288,...

Answers

Step-by-step explanation:

a = 18

n = 10 th term

difference (d) = 72-10 = 62

an ( n th term ) = a + (n-1)d

a10 ( 10 th term = 18 + (10-1)62

= 18 + 9×62

= 18 + 558

10 the term = 576

Manu had ₹ 120. He bought one book for ₹ 25.75 and a pen for ₹ 12.50. How much money does he have now?​

Answers

Answer:

₹ 81.75

Step-by-step explanation:

Total =  ₹ 120.

He bought one book for ₹ 25.75 and a pen for ₹ 12.50.

    ₹ 25.75 + ₹ 12.50 =  ₹ 38.25

How much money does he have now?​

     ₹ 120 -  ₹ 38.25 =  ₹ 81.75

₹81.75

you just minus 120 from 25.75 and 12.50

If a puzzle measures 14 in x 16 in, how many inches of frame for the puzzle?

Answers

There will be 224 inches :)

When rounding to the nearest hunderth, which numbers below will round to 187.55? Select all that apply

A)187.556
B)188.454
C)187.548
D)187.553
E)187.550

Answers

Answer:

C, D, E,

Step-by-step explanation:

All of these will round to 187.55

A rule for creating a pattern is given below.

Rule: Subtract 7 from x to get y.

Which ordered pair, (x, y), works for the rule?

Choose 1 answer:

(Choice A)

(10, 17)

(Choice B)

(7, 0)

(Choice C)

(14, 2)

Answers

Answer:

(Choice B)

Step-by-step explanation:

(7, 0)

7 - 7 = 0

Here, we can see that when 7 is subtracted from x, we get 0 (our y)

Hope this helps!

Rhombus J K L M is shown. The length of J K is 2 x + 4 and the length of J M is 3 x.
What is the length of a side of rhombus JKLM?

4 units
8 units
12 units
16 units

Answers

Answer:

12 units

Step-by-step explanation:

Properties of Rhombus:

1. length of all sides are equal.

2. Diagonals bisect each other at right angles

As the length of all sides are equal,

JM = JK

3x = 2x + 4

Subtract 2x from both sides,

3x - 2x = 4

       x = 4

JM = 3*4 = 12 units

At a point on the ground 50 feet from the foot of a tree, the angle of elevation to the top of the tree is 58 degrees. Find the height of the tree.

Answers

Answer:

height of tree is 80 feet.

Step-by-step explanation:

Given:-

Distance of point from tree's foot:- 50 feetAngle of elevation:- 58 degrees

To find :-

Height of tree

Solution:-

In the given figure we can see that AB is perpendicular , BC is base and AC is hypotenuse.

We know ,

tan 58° = AB/BC

1.6 = AB/50 feet

(Cross Multiplication)

80 feet :- AB

Note:- Figure is in attachment and is a rough work.

a cone has a volume of 18π in^3. What are the possible dimensions of the cone? check all that apply..
A. diameter 1in, height 8in
b. diameter 6in. height 6in
c. diameter 3in, height 6in
d. diameter 6in, height 3in
e. diameter 4in, height 13.5in
f. diameter 13.5in, height 4in

Answers

we can do it again and I am a big deal for the first day back to the first to see the first to be in the first time I was a good idea but I have a great time to be the first to see this movie is the best of luck to everyone for all the time of year when I get to the world to me I rent and the rest is history and culture and the rest of your own business and the first

Step-by-step explanation:

sana po makatulong

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