A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?​

Answers

Answer 1

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?

[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]

[tex]\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]

[tex]\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]

[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]

[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]

[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]

[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]

ฅ^•ﻌ•^ฅ


Related Questions

PLEASE HELP ME I NEED AN ANSWER ASAP!! <3

(photo included)

Answers

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

what's the difference between 7/10 and 4/15

Answers

Answer:

Difference is the answer to a subtraction problem.  If you are on here, you can probably use a calculator.  If you go to the desmos scientific calculator, you can type it in and it will give you your answer as a fraction.

Step-by-step explanation:

Answer:

13/30

Step-by-step explanation:

7/10 - 4/15

Get a common denominator of 30

7/10 *3/3 = 21/30

4/15 *2/2 = 8/30

21/30 -8/30

13/30

Triangles ABC and JKL are similar. Find the missing sides.

Answers

Answer:

option A

Step-by-step explanation:

the bigger triangle is two times the size of the small one

the force which pulls or tends to pull a body is called____​

Answers

Answer:

force of gravity

hope it helps

pls mark me as the brainliest

thank u

Answer:

pulling force

Step-by-step explanation:

There is no special name for that.

Physics is usually just concerned with "forces", and doesn't specify whether the force pushes or pulls.

If you want to be more specific, you can just call it a "pulling force".

I hoped this was satisfying!

Complete the table fraction | decimal

Answers

Answer:

1/5=0.2

0.3=3/10

1/2=0.5

7/10=0.7

3/4=0.75

PLEASE HELP. (Will Mark Brainliest)

Answers

Answer:

Step-by-step explanation:

17/60 = 0.2833333333.....  3 repeating

25/60 = .025  terminating

31/44 = 0.7045454545.....   45 repeating

54/72 = 0.75    terminating

( 15points)Help!!! I need to finish this less than 10 minutes

PlzzPlease help me bunnies <3
No monkey business plz. Or I will report

Answers

Okay! When you are ready, let me know what you need help with. Just comment this answer!

What is the question here?

Which function has the same range as
f(x)=-2 Sqrt X-3 +8?

g(x)= VX-3-8
g(x) = VX-3+8
g(x)=- Vx+3+8
g(x)=√x-3-8


Answers

Answer:

C

Step-by-step explanation:

The option that has the same range than f(x) is:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

What is the range of the given function?

Here we first have the function:

[tex]f(x) = -2*\sqrt{x - 3} + 8[/tex]

Remember that the square root only can be evaluated arguments equal or larger than zero.

So the minimum value of x that we can use is x = 3.

[tex]f(3) = -2*\sqrt{3 - 3} + 8 = 8[/tex]

And as x increases, the outcome will decrease (because the square root is being mulitiplyed by a negative number). So we can conclude that the range is y ≤ 8.

Which other function has the same range?

So, we need another function that has a maximum value in the range equal to positive 8, so we need to have a constant equal to 8, and a square root being multiplyed by a negative number.

The option that meets these two conditions is the third one:

[tex]g(x) = -\sqrt{x + 3} + 8[/tex]

If you want to learn more about domains and ranges, you can read:

https://brainly.com/question/10197594

select all explanation that prove triangle ABC is congruent to triangle A'B'C

Answers

Answer:

AB = A'B'

BC = B'C'

AC = A'C'

angle ABC = angle A'B'C'

angle CAB = angle C'A'B'

angle CBA = angle C'A'B'

Step-by-step explanation:

use different axomes to show relation,

Answer: Reflect ABC across the vertical line passing through C

Step-by-step explanation:

Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above

Answers

Answer:

A.Hypotenuse

Step-by-step explanation:

Side AB is the longest side of the triangle

The longest side of a triangle is known as the hypotenuse

write the equation of a line with that passes through given point and gas the given slope. Answer in general form​

Answers

Step-by-step explanation:

c) since m = undefined => the equation is

x = -2

d) the equation is

y-2= -1/7 (x+7)

=> y = -1/7 x -1+2

<=> y = -1/7 x + 1

Brian spends 3 5 of his wages on rent and 1 3 on food. If he makes £735 per week, how much money does he have left?

Answers

Answer :

Brian has $49 left.

Step by step explanation :

Step 1 : Find how much money Brian spends on rent and food.

First question we should be asking is what is 3/5 of 735?

Let's find that.

[tex]\frac{3}{5}[/tex] * [tex]\frac{735}{1}[/tex]

= [tex]\frac{(3)(735)}{(5)(1)}[/tex]

= [tex]\frac{2205}{5}[/tex]

= 441

We know Brian spends $441 on rent. Now we find how much he spends on food.

[tex]\frac{1}{3} * \frac{735}{1}[/tex]

= [tex]\frac{(1)(735)}{(3)(1)}[/tex]

= [tex]\frac{735}{3}[/tex]

= 245

Brian spends $245 on food.

Step 2 : Add what he spends on rent and food together.

$441 + $245 = $686

Step 3 : To find out how much money Brian has left, we subtract $686 from $735.

$735 - $686 = $49

Conclusion : Brian has $49 left.

Hope this helps, please mark brainliest if possible. Have a nice day.

Solve for X:
-2(x+2) < 14

Answers

Answer:

answer is 45 + 5 so it's 50

Answer:

-2X-4<14

-2X<18

X>9

Step-by-step explanation:

Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
Ir = 4cm
2.5 cm
3 cm
3 cm
[?]%
Round to the nearest tenth of a percent.

Answers

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Which graph represents y as a function of x?

Answers

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

YALL REALLY NEED TO
HELP MEEEE
determine if the triangles are similar. Why are they similar or not similar ?
please show work

Answers

Answer:

Not similar

Step-by-step explanation:

In triangle MLN & WXY,

Right angles - > 1

There is nothing common in these 2 triangles other than (1)

Therefore,

Not similar


help help help help pls

Answers

Answer:

The length of AB is approximately 6.07 m

Step-by-step explanation:

The given dimensions of the triangle are;

The value of x = 7.7 m

The measure of angle, θ = 52°

The length of side AB = Required

The given triangle ΔABC is a right triangle, with the following sides;

AC = x = The hypotenuse (opposite to right angle) side

(Leg) AB = The opposite side to the reference angle, θ

(Leg) BC = The adjacent side to the reference angle, θ

By trigonometric ratio, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{AB}{x}[/tex]

Therefore;

[tex]sin(52^{\circ}) = \dfrac{AB}{7.7}[/tex]

AB = 7.7 × sin(52°) ≈ 6.07

The length of AB ≈ 6.07 m.

Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?

Answers

Answer:

34

Step-by-step explanation:

let x = number of stamps ranu gives out and the number of stamps cathy receives

200 - x = 132 + x

combine like term s

200 - 132 = 2x

68 = 2x

x = 34

The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3

Answers

In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.

What value of m makes the equation 8am/4a5=2a6 true?

Answers

Answer:

m = 11

Step-by-step explanation:

11 - 5 = 6

jessica's piggy bank has 100 coins, including pennies, nickels, dimes and quarters/ together they are worth $8.36. there are nine more dimes than pennies and five times as many nickels as pennies. How many of each kind of coin does jessica have in her piggy bank?

Answers

Answer:

the bank contains 30 nickels and 70 dimes.

Step-by-step explanation:

Please give a real answer.

No Docs/No files/No link

I will rate a 5-star and give the brainiest.

Answers

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

Which of the following proves trinagle ABC =~ trinagle DEF? Please help me step-by-step with this please, and if you give just a straight answer with no proof then Ima just assume that you are here answering incorrectly and are just here for the points!!

Answers

Answer:

C. ASA

Step-by-step explanation:

The details of the given parameters are;

Angle ∠B of ΔABC is congruent to angle ∠E of triangle ΔDEF,

Angle ∠C of ΔABC is congruent to angle ∠F of triangle ΔDEF

Side [tex]\overline{BC}[/tex] of ΔABC is congruent to side [tex]\overline {EF}[/tex] of triangle ΔDEF

Two angles (∠B and ∠C) and the included side (side [tex]\overline{BC}[/tex]) of ΔABC are congruent to the corresponding two angles and included side (∠D, ∠E and side [tex]\overline {EF}[/tex]) of ΔDEF, therefore, the two triangles are congruent by the Angle-Side-Angle, ASA, rule of congruency

For #4 - 5, the two polygons are similar. Find the
values of x and y.
60°
18
12
22
x + 4
4.

Answers

Answer:

x = 10.7

y = 120°

Step-by-step explanation:

If two polygons are similar, their corresponding angles would be the same, while the ratio of their corresponding sides will be equal.

Therefore, the angles of the two polygons given are equal, while the ratio of their corresponding side length is equal.

Thus:

✔️Find x:

22/(x + 4) = 18/12

22/(x + 4) = 3/2

Cross multiply

(x + 4)3 = 2*22

3x + 12 = 44

Subtract 12 from each side

3x = 44 - 12

3x = 32

x = 32/3

x = 10.7

✔️Find y:

y + 60° = 180° (adjacent angles are supplementary)

y = 180 - 60

y = 120°

i have no clue what i’m doing

Answers

Answer:

c(x) =  16x + 22736

R(x) = -2x^2 + 524x  

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

58 to break even

Step-by-step explanation:

Your cost is the amount it cost you to "make" stuff.

You have fixed and variable costs (cost of oven is fixed cost of flower and sugar is variable to make cupcakes)

your cost is c(x) =  16x + 22736

"your oven and building cost $22736 per month and you use $16 worth of sugar butter flour to make one cupcake ( it  must be a huge one) ...

your revenue is the amount of money that "comes into your business"...

the amount of money in the cash register.... Note: this is only money IN you still have to pay for the building, sugar flour etc.

R(x) = -2x^2 + 524x  

Note: the minus and the square basically say that the more you charge the less cupcakes you will sell...

Profit is the money in minus the money out

P - R - E   [ -2x^2 + 524x  ] - [16x + 22736]

the break even point is where the two functions are the same

in other words where C=R or R-C=0

[ -2x^2 + 524x  ] = [16x + 22736]

[ -2x^2 + 508x  - 22736] = 0

Factored: f(x) = -2(x - 196)(x - 58)

Answer:

Step-by-step explanation:

C(x)=16x+22736

R(x)=-2x²+524x

P(x)=R(x)-C(x)

=-2x²+524x-16x-22736

=-2x²+508-22736

when profit is zero then no gain or loss.

so -2x²+508x-22736=0

or x²-254x+11368=0

196+58=254

196×58=11368

x²-54x-196x+11368=0

x(x-54)-196(x-54)=0

(x-54)(x-196)=0

x=54,196

so x=54 is the smallest number of bins to break even.

hope your having a good day!

Answers

Answer:

yes im am gydyd6rrfxjdjsjwjejwhwwehebrhrhhrrhrhrhdhrhehrhehrhrhdhdhdhdhddhdgdgdhr

Solve using the Applicable Variation

The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.

I'm so lost :'(​

Answers

Answer:

36

Step-by-step explanation:

9/16 = 20.25/?

16x20.25÷9= 36

3x^2 + 14x
how do you factories this​

Answers

Answer:

x(3x+14)

Step-by-step explanation:

what do those terms share? they share the letter "x"

therefore we multiply x by 3x^2/x + 14x/x

3x^2/x = 3x and 14x/x = 14

Can someone give me the answer ?!?

Answers

Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

At 4 p.m., the temperature started to change drastically. Each hour, for three hours the temperature decreased by 7°F
Which expression best shows another way to write the product for the temperature change?
07-7-7
(-1)(7+7+7)

Answers

Answer:

07-7-7

Step-by-step explanation:

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