Tasha is planning an expansion of a square flower garden in a city park. If both the length and the width of the original garden are each increased by *3m*, the new total area of the garden will be *49* squared meters. Find the length of each side of the original garden.

Answers

Answer 1

Answer:

4 m

Step-by-step explanation:

Since the flower garden is square :

Both length and width are equal :

Let :

Original side length = x

Increased length = x + 3

Area of square = s² (s = side length)

New area = 49 m²

That is ;

(x + 3)² = 49

Original length, x can be calculated thus ;

Take square root of both sides

x + 3 = √49

x + 3 = 7

x = 7 - 3

x = 4

Hence, original length of each side = 4 m


Related Questions

Write an equation for the following parabola. A. (x+5)^2+5 B. (x-3)^2+4 C. (x-5)^2+4 D. (x+3)^2+5 Please select the best answer from the choices provided

Answers

Answer:B

Step-by-step explanation:

A(3;4) in the parabola.

The answer B: y=(x-3)^2 +4.

y=yA=4; x=xA= 3

=> 4=(3-3)^2+4 (right)

1c.) Mr. Armstrong earns $6.45 per hour. He is paid $7.95 for each hour he works over 40 hours in a week. (a)How much is he paid for a 43 hour week? (b)How many hours did he work if he received $313.65? SHOW ALL WORKING OUT *​

Answers

A) I multiplied $6.45 x 40 which gave me 258. Then multiplied $7.95 x 3 which gave me $23.85. So then I added my answers and got $381.85

Please help me with questions 6) ii), iii) and d). I’ve been trying for so long.

Answers

Answer:

5,000

Step-by-step explanation:


If the area is 30cm and the length is 13,23 cm., what will be the width in
cm?​

Answers

Answer:

ok so the standard equation for finding the area of a equation is BH=A

so if the lenth is 1323 and the width is unknown other wise X

we can make an equation

1323X=30

so we divide 30 by 1323 which is

X=0.02267573696 so

The width is about 0.023 cm

Your Welcome

BIFFY OUT!!!

Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?

attached below is the options

this is worth 100 points

Answers

Step-by-step explanation:

the correct answer is

a. { ½(c-a), ½(d-b) }

________________

General formula

((x_1+x_2)/2,(y1+y2)/2)

So

Here

for (a,b) and (c,d)

Midpoint

((a+c)/2,(b+d)/2)

Option A

I NEED HELPPP is it 112 or 56 ?????

Answers

The answer is 56!
Please mark brainliest

hahaha help:)))))))))

Answers

Answer:

1332 i think is how it will be writen

Step-by-step explanation:

Answer:

121,212

Step-by-step explanation:

im not 100% sure

What is the value of a in the equation 4a + 3(a + 1) = 24?

A. 2
B. 3
C. 7
D. 21

Answers

Answer:

B. a = 3

Step-by-step explanation:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a + 3 = 24

7a + 3 - 3 = 24 - 3

7a = 21

7a ÷ 7 = 21 ÷ 7

a = 3

Answer:

B

Step-by-step explanation:

Given

4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side

4a + 3a + 3 = 24

7a + 3 = 21 ( subtract 3 from both sides )

7a = 21 ( divide both sides by 7 )

a = 3 → B

WILL MARK BRAINLIST!!​

Answers

Answer:

24 units

Step-by-step explanation:

Look at the coordinate plane. First start with the bottom side (LN). The line goes from -3 to 9. This means that the line is 12 units long. Now, look at the other sides. MN goes from 3 to 9, therefore, the line is 6 units long. Lastly, look at ML— -3 to 3, therefore, the line is 6 units long. Add them all up, (12+6+6) and it equals 24 units.

24 units

////////////

Sina + sin2a + sin3a + ... + Sinna

Answers

Answer:

sinasinasinasina

Step-by-step explanation:

this ia my answer pag pinagsama lahat ng sina

PLEASE HELP DONT SKIP I NEED YOU

Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.

outcome -

Probability (as a fraction) -

Answers

Answer:

72 outfits possible,

1/72 chance of selecting a particular outfit

Step-by-step explanation:

For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally [tex]3\cdot 4\cdot 6=72[/tex] outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is [tex]\boxed{\frac{1}{72}}[/tex]

ok pls help i’m so bad at this

Answers

Answer:

6,068

Step-by-step explanation:

the length of the segment AB is 7.7*sin(52°) = 6,068

Answer:

6,068

Step-by-step explanation:

the length of the segment AB is 7.7*sin(52°) = 6,068

Step-by-step explanation:

Find the surface area of the cone in terms of pi
17 cm height
3 cm radius
Not drawn to scale

Answers

Answer:

[tex]60\pi\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The total surface area of a cone with radius [tex]r[/tex] and slant height [tex]\ell[/tex] is equal to [tex]SA=\pi r\ell+r^2\pi[/tex].

What we're given:

[tex]r[/tex] of 3 cm[tex]\ell[/tex] of 17 cm

Substituting given values, we get:

[tex]SA=3\cdot 17\cdot \pi+3^2\pi,\\SA=51\pi+9\pi,\\SA=\boxed{60\pi\:\mathrm{cm^2}}[/tex]

if i have £100000 what is 47.6% OF THE MONEY

Answers

Answer:

Step-by-step explanation:

it maybe 11,000 i am not sure but i hope this helped

Answer:

47,600.00

Step-by-step explanation:

I just did a math test with that exact same Question.

If a physician order is 25% dextrose 1000 mL and all you have is 70% dextrose 1000 mL and 5% dextrose how much 70% dextrose will be used

Answers

Answer:

The answer is below

Step-by-step explanation:

Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:

The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x

25% of 1000 ml = 70% of x + 5% of (1000 - x)

25000 = 70x + 5000 - 5x

Simplifying gives:

65x = 25000 - 5000

65x = 20000

x = 308 ml

Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.

If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?

Answers

Answer:

$4.7 (approx)

Step-by-step explanation:

Simple interest = (principle * time * rate) / 100

Make X the subject of the formula

[tex]y = \sqrt{ax + b} [/tex]

Answers

Answer:

[tex]x = \frac{y {}^{2} - b }{a} [/tex]

Step-by-step explanation:

[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]

Answer:

x = [tex]\frac{y^2-b}{a}[/tex]

Step-by-step explanation:

Given

y = [tex]\sqrt{ax+b}[/tex] ( square both sides )

y² = ax + b ( subtract b from both sides )

y² - b = ax ( isolate x by dividing both sides by a )

[tex]\frac{y^2-b}{a}[/tex] = x

Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit

Answers

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v)

Answers

Mass=5.6
Find this by plugging your values into the density formula and solving for M.


List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.​

Answers

Step-by-step explanation:

Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

Total=24

Multiples of 5={10,20,30,40}

Probability (multiple of 5)=4/24

=1/6

P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28

Total=9

Probability=9/24

=3/8

Probability is number 12

=1/24

Probability it has square less than 40

=(4,36)

Two numbers

Probability=2/24

=1/12

Which of the following is the best use for the sign chart when graphing
rational functions?
O A. To determine if the graph of F(x) is straight or curved
O B. To determine the slope for the graph of F(x)
O C. To determine where the vertical asymptotes are for the graph of
F(x)
O
D. To determine where the maximum is for the graph of F(x)
SUBMIT

Answers

To determine where the maximum is for the graph of F(x)

Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
Edmentum. All rights reserved.

Answers

Answer:

infinitely many

Step-by-step explanation:

All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.

change for the interval from x = 8 to x = 9.

A. 19,683
B. 13,122 O
C. 3
D. 6561​

Answers

Answer:

its b

Step-by-step explanation:

nahazbzbzhzhzhzhshhs

Answer: B) 13,122

====================================================

Explanation:

We keep multiplying each rate of change by 3

The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B

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

Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.

The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)

Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.

Plug in n = 9 and we get 2(3)^(9-1) = 13,122

A farmer uses 1/3 of an acre of land to grow carrots.

The carrots are grown in

There are 15 rows of carrots.

What part of land does each row of carrots take up?

Answers

Answer:

the answer is 1/45

Step-by-step explanation:

just use the proportion method

what is the cost for 23 yards of cloth at 85.62 per yard

Answers

Answer:

1,969.26

Step-by-step explanation:

If a yard costs 85.62, we can present this as;

y = 85.62

Therefore, to find the cost of 23 yards, we can represent the above equation as;

23y = x

since we already know the value of y, we can say that

x = 23(85.62)  

so,

x = 1,969.26

Which equation represents the graphed function?
y = –2x + 3
y = 2x + 3
y = x + 3
y = –x + 3
Answer B

Answers

Is answer B the answers to this question
The answer to this equation is B

The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?

Math item stem image
CLEAR SUBMIT

97 muffins


100 muffins


101 muffins


120 muffins

Answers

Answer:

120 muffins

Step-by-step explanation:

If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.

Hope this is helpful

Solve the following system graphically.

y < - x
y =< x - 2

Upload one solution of the system and your graph

Answers

Answer:

a solution of the system is the point that satisfies both the equations

(1, -1) is a solution of the system

Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?

Answers

Answer:

2270 grams

Step-by-step explanation:

If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270

10 points to answer this question. Determin the numerical length of VW.​

Answers

Answer:

9

Step-by-step explanation:

4x-7 + 3x = 5x -1

7x - 7 = 5x +1

2x = 8

x = 4

VW = 4x - 7

      = 4(4) - 7

      = 16-7

      = 9

Other Questions
Describe the characteristics of Greek and Roman historigraphy How might long-term exposure to extreme cold affect the body? What changed in the relationship between the Soviet Union and Yugoslavia in 1990? Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered? In 8 days, a group of workers can plant 72 acres.What is their rate in acres per dayHelppp fastttt which statement summarized the difference between mass and weight? A market Group of answer choices always requires face-to-face contact between buyer and seller. reflects upsloping demand and downsloping supply curves. is an institution that brings together buyers and sellers. entails the exchange of goods, but not services. calculate the volume of 150 kg of chlorine gas. - y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin Please help, find the area of the polygon. Identify the following costs as fixed or variable: Costs related to plane trips between Boston, Massachusetts, and San Diego, California, follow. Pilots are paid on a per-trip basis.a. Pilots salaries relative to the number of trips flown.b. Depreciation relative to the number of planes in service.c. Cost of refreshments relative to the number of passengers.d. Pilots salaries relative to the number of passengers on a particular trip.e. Cost of a maintenance check relative to the number of passengers on a particular trip.f. Fuel costs relative to the number of trips. One-half (x + 6) = 18 Why was the last Han Emperor considered. Emperor Xiandi, not considered a strong Emperor?What is the answer Sarah is a 21 year old college student. Sarah comes home each day from class and cries because her classes are so difficult. One day Sarah walks into her dorm room and screams at her roommate for not putting the laundry away. She then storms out of the room, to then find herself sobbing uncontrollably on a park bench. Sarah is not a/an __________. How can racism benefit anthropology? Verify that a(b+c)=(ab)+(a c), a=10 , b=5 , 6=2 Please help Ill give brainliest Harry makes pizzas to sell in his caf. He buys packets of grated cheese and boxes of mushrooms and then uses them for the pizza toppings. For example, a bag of grated cheese is divided into 4 portions and used to top 4 pizzas. What formula is in cell D3? The system of equations y = negative one-fifth x minus 6 and y = 2x + 3 is shown on the graph below.On a coordinate plane, 2 lines intersect at (5, negative 7).According to the graph, what is the solution to this system of equations?(5, 7)(7, 5)(5, 7)(7, 5) Can someone please help me ?