15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.​

Answers

Answer 1

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.


Related Questions

3. Find (1 3)(x) when f (x) =
Vx+3
Vx+3 (1 point)
and
g(x)=
2x
x2 +6x+9
of g)(x) =
2x2
√x+3
(g)(x) =
2x2
OF 3)(x)
?? +9
of g)(x) =
x+3
2x²
22

Answers

Answer:

The choose 3.

[tex] \frac{x + 3}{2 {x}^{2} } [/tex]

linear equation 3+X=-2 ​

Answers

Answer:

x = -5 ​

Step-by-step explanation:

3+X=-2 ​

Subtract 3 from each side

3-3+X=-2-3

x = -5 ​

Answer:

-5

Step-by-step explanation:

1 Subtract 3 from both sides.

x=-2-3

2 Simplify -2 -3 to -5

x=-5

The kinetic energy, K, of an object due to its motion is given by K = mv2, where m is the mass of the object and v is its velocity. What is the mass of the object, m, in terms of its kinetic energy and velocity?​

Answers

Answer:

Step-by-step explanation:

First of all, your formula isn't right. In general, the KE = 1/2 m * v^2

KE = 1/2 m * v^2                         Multiply both sides by 2

2*Ke = m * v^2                           Now divide by v^2

2*Ke/v^2 = m

I'm a little stuck on this, could I get some help? C:

How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.

Thank you, and I am eternally grateful.

Answers

9514 1404 393

Answer:

  $321.99

Step-by-step explanation:

Use the annuity formula and solve for P.

  A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.

  50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)

  P = 50,000/155.282279 = 321.99

You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.

Find the value of this expression if x = 3.
x²– 1/x+1

Answers

Answer:

2

Step-by-step explanation:

x^2 - 1 = 9 - 1 = 8

8 / 3 + 1 = 8/4 = 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2

Step-by-step explanation:

Given, x=3

Now,

x^2 - 1/ x+1

= 3^2-1/3+1

= 9-1/4

=8/4

=2


Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations

Answers

Answer:

what elevation there is no elevation

Step-by-step explanation:

pew pew

Answer:duhh

Step-by-step explanation:

Find the area of the shaded region.​

Answers

Step-by-step explanation:

find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.

now find the area of the other semicircle on top of the big semicircle.

add your results

area of semicircle=1/2(pir^2)

Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.

Answers

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

multiply the fraction 5/6 to the decimal 2.4

Answers

Answer:

answer is 2. thank you. have a nice day

Find the value of x.

Answers

9514 1404 393

Answer:

  x = 50°

Step-by-step explanation:

The angle marked 73° is the average of the arcs marked 96° and x.

  (x +96°)/2 = 73°

  x = 2(73°) -96° . . . . solve for x

  x = 50°

__

Additional comment

Then z = 360° -50° -114° -96° = 100°.

A wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft

Answers

200 because a gallon of paint covers 200 square feet

Help!
Which expression is equivalent?
On edge

Answers

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

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

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?​

Answers

Answer:

1they are 15 kilometers apart

Answer equation in photo, show work please and thanks

Answers

Answer:

19

Step-by-step explanation:

There are 38 points total, each field goal is 2 points.

If we do 38/2 we get 19.

Image has work...

[tex]\frac{38}{2}[/tex]

The hypotenuse of a right triangle is 5m long. The shorter leg is 1m shorter than the longer leg. Find the side lengths of the triangle.

Answers

Answer:

Longer Leg = 5

Shorter Leg = 144

Hypotenuse = 169

Step-by-step explanation:

342,475 plus 71,925


Thank you

Answers

414400 Hope this helped!

Answer:

414,400

Step-by-step explanation:

[tex]342.475 + 71.925[/tex]

[tex] = 414.400[/tex]

1- Operations with Fractions

2 1/2 - 5/3

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{5}{6}[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

brainiest to whoever right

Answers

Answer:

Area of a triangle

Step-by-step explanation:

1/2bh is used to find the area for a triangle

Mr. Thompson's sixth grade class is competing

Answers

I don’t get this what is the question
sorry i don’t get the question?


The radius of a circle is 4.0 millimeters. Find the diameter,
??

Answers

the answer is 8. that’s it plain and simply. brainly makes you put 20 characters so these are just to fill that void. d=8 though

2. A doctor treated 2000 patients over a period of time. If he worked for 5 hours a day and spent 15 minutes on each patient how many days did the doctor spend to treat all patients?

Answers

Answer:

The answer is 6000 days.

In a group 40% like football ,70% like cricket and 30% like both games

Answers

Step-by-step explanation:

Ans is 20 .

F union C whole complement is 20

Que costaría más comprar una vaca o comprar hamburguesas de 1€ hasta igualar a una vaca.

Answers

Answer:

haha pues cuesta mas las hamburgesas porque toca ir al doctor despues

Step-by-step explanation:

Keisha bought these supplies for school:



4 packs of pencils that cost $0.85 each
6 packs of pens for $1.25 each


5. What was the total cost of the pencils and pens, including a 6% tax?



A
$13.35
B
$10.90
C
$11.55
D
$2.23
.

Answers

Answer:

C. $11.55

Step-by-step explanation:

First, multiply 4 by $0.85 to get an answer of $3.40. Next, multiply 6 by $1.25 to get an answer of $7.50. Add up the cost of the pencils and pens by adding $3.40 and $7.50 to get $10.90. Next, we have to add the tax. Multiply $10.90 by 0.06 to get $.65. Add the $.65 to the $10.90 for a grand total of $11.55. Hope this helps!

i have a school project and really don’t pay attention in class … so i need to know What is an equation in integers that equals " 1 " ? ‍♀️

Answers

Answer:

Step-by-step explanation:

The answer is actually

Let:

S=1+2+3+4+5+6+7+8+9+n

We know the answer to the following infinite sum:

S2=1-1+1-1+1-1+1-1+1-1+1-1+1-....= - 1/2

We can therefore solve for this sum:

S3=1-2+3-4+5-6+7-8+9-....

We add them:

S3=      1-2+3-4+5-6+7-8...

S3=       +1-2+3-4+5-6+7-8...

        ________________

2S3=    1-1+1-1+1-1+1-1+1-....

Therefore:

2S3=S2=

Find the number of steel ball bearings, each of diameter 0.7 cm, which can be made from 1 kg of steel, given that 1 cm' of steel has a mass of 7.85 g.​

Answers

Answer:

707.7, or 707

Step-by-step explanation:

0.18 x 7.85 g = 1.413 g/one bearing. Total amount of bearings: 1kg = 1000 g/1.413

Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?

Answers

Answer:

765

Step-by-step explanation:

1)4.25/100=0.0425

2)0.0425*3600=153

3)153*5=765

PLEASE HELP

X+11/8 = -3

Show your work in details if you can, I have a hard time understanding this.

Answers

Answer:

[tex] \frac{x + 11}{8} = - 3 \\ x + 11 = - 3 .8 \\ x = - 24 - 11 \\ x = - 33[/tex]

maaf jika salah

Answer:

x=-35

Step-by-step explanation:

x+11=-3*8

x+11=-24

x=-24-11

x=-35

please answer my question it's urgent​

Answers

a = 16

Solution:common ratio = (-1/8)/(1/16)=-2

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

Help!
Find the value of x for which ABCD must be a parallelogram.

Answers

3
In a parallelogram, the diagonals (the lines inside from corner to corner) bisect each other. That means the two halves of the diagonal are equal to each other.
So
-9-6x=x-30
-9-6x+6x=x-30+6x
-9=7x-30
21=7x
x=3
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