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

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

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

Answers

The answer is 56!
Please mark brainliest

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

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.

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

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

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

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

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]

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

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)

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:

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)

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

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.

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

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 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

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]

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

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.

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

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

Sina + sin2a + sin3a + ... + Sinna

Answers

Answer:

sinasinasinasina

Step-by-step explanation:

this ia my answer pag pinagsama lahat ng sina


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!!!

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:


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

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

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