The area of a rectangular school yard is 3,195 square meters. The perimeter is 232 meters. What are the dimensions of the school yard?

Answer:

Step-by-step explanation:

CB=OB-OC;

CD=CB/2=(OB-OC)/2=(b-c)/2;

OD=OC+CD=c+(b-c)/2=c/2+b/2;

AD=OD-OA=c/2+b/2-a;

AE=2/3*AD=2/3*(c/2+b/2-a)=c/3+b/3-2*a/3;

OE=OA+AE=a+c/3+b/3-2*a/3=a/3+b/3+c/3;

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OD=c/2+b/2;

OE=a/3+b/3+c/3;

The value of OE = (a+ b+ c)/3 and OD = (b + c)/2.

In quadrilateral OABC, we are given that D is the midpoint of BC,

and E is a point on AD such that AE : ED = 2 : 1.

Also, OA = a, OB = b and OC = c

Now, By the Midpoint Theorem, we also have

OD = (1/2)OB + (1/2)OC.

OD = (1/2)(OB + OC)

OD = (1/2)(b + c)

OD = (b + c)/2.

and, CD= (OB- OC)/2 = (b-c)/2

Now, AD=OD-OA= (c+b)/2 - a

and, AE=2/3 x AD

= 2/3 x (c+ b)/2 - a

= (c + b - 2a)/3

Then, OE = OA + AE

= a + (c + b - 2a)/3

= (a+ b+ c)/3

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Answer:

It represents a linear relationship

Step-by-step explanation:

Linear relationship:

- constant change in x and y

Exponential relationship:

- constant change in x

- constant ratio of y

We see that 3, 4, 5, and 6 are a constant change in x as it's going up by +1.

It also has a constant change of y +2.

Answer:

Step-by-step explanation:

Answer:

The correct answer for this question is:

The loan's effective rate that had the greater increase, relative to its nominal rate, and how much greater is its increase than that of the other loan is that 'loan H’s increase was 0.16 percentage points greater than Loan I’s.

Step-by-step explanation:

Answer:

A: Loan I’s increase was 0.03 percentage points greater than Loan H’s.

Answer:

[tex] {12x}^{3} - 17x^{2} + 10x - 3[/tex]

Answer:

y=381

Step-by-step explanation:

given: y=45  x=225

y=kx

45=k√(225)

45=k(15)

45=15k

45/15=15k/15

3=k

given: x=127  k=3

y=kx

y=3(127)

y=381

Answer:

Step-by-step explanation:

Hello

Step-by-step explanation:

hello I'm Filipino people

Answer:

The elevation of University Peak could be 14,464, which in between the two mountains.

Answer:

It's shorter than Mt. Massive but it's shorter than Mt. Alverstone.

The number between 14,500 and 14,428 is 14464, that would be a great guess

Answer:

[tex]\left(a\right)\ 21.066\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \left(b\right)\ 66.872\\ \left(c\right)\ 81.567[/tex]

Step-by-step explanation:

[tex]\left(a\right)\ P\left(2\right)=C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(1-32)^{10-2}\\ =C^{\begin{matrix}2\\10\\\end{matrix}}\bullet(32)^2\bullet(68)^8=0.21066=21.066[/tex] [tex]percent[/tex]

[tex]cb)\ P(x > 2)=P(x\le2)=1-(P(x=0)+P(x=1)+P(x=2))\\ =1-C^{\begin{matrix}0\\10\\\end{matrix}}(0.32)degrees(0.68)^{10}-C^{\begin{matrix}1\\10\\\end{matrix}}(0.32)\prime(0.68)^9-C^{\begin{matrix}1\\0\\\end{matrix}}(008)(66)^9\\ =1-0.02114-0.09948-0.21066\\ =0.66872=66.872\\[/tex]

[tex](C)\ \ \ \ \ P(2\preccurlyeq[/tex] [tex]5)=P(2)+P(3)+P(4)+P(5)5)=P(2)+P(3)+P(4)+P(5)[/tex]

[tex]=C^{\begin{matrix}2\\10\\\end{matrix}}(0.32)^{)^2}\bullet(0.68)^3+C^{\begin{matrix}3\\10\\\end{matrix}}(0.32)^3\bullet(0.68)^7+C^{\begin{matrix}4\\10\\\end{matrix}}(0.32)^4\bullet(0.68)^6+C^{\begin{matrix}5\\10\\\end{matrix}}\bullet(0.32)^5\bullet(0.65)^5)[/tex]

[tex]=0.2186+0.26436+0.21771+0.12294\\ =0.81567=81.567 percent[/tex]

[tex](binomial\ distribution)[/tex]

I hope this helps you

:)

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

OR THE SECOND EQUATION IS

=> 21 - 11 = 10

Answer: A

Step-by-step explanation:

The intersection point of the medians of a triangle is defined to be the centroid.

The solution is Option A.

The centroid of the triangle UVW is the intersection of the medians of the triangles

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as UVW

Now , the median of the triangle from U is given by

The measure of WY = The measure of YV

The median of the triangle from W is given by

The measure of UX = The measure of XV

And , the point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians

So , median is a line that joins the midpoint of a side and the opposite vertex of the triangle

Hence , the point Z is the intersection of the triangle's medians

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Answer:

conclusion statement four sentences about you and exothermic heat was realised or absorbed it was changed beacsue positive 9r negative.

Answer:

These x-values are known as the “roots” or “zeros” of the quadratic. To find these roots, we simply set the quadratic equal to zero and solve for x

Step-by-step explanation:

Hi! I hope you're enjoying your day!

Please remember that an arithmetic sequence is a sequence where we use either addition or subtraction to get to the next term.

Now, let's find an arithmetic sequence here.

Is it Option A?

Remember: It should have a common difference of 2.

Which means we either add or subtract 2 to get to the next term.

Well, it seems like Option A is right.

Let's check the other options.

Is Option B right? Nope.

Here's why.

Hint: Pay attention to the signs.

We have

1, -3, 5, -7, 9...

So Option B is wrong.

Option C is correct, because we subtract 2 each time.

Option D is wrong, because we multiply by 2 each time.

Hence, the right options are

[tex]\boxed{\boxed{\bold{Options~A~and~C.}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

[tex]\rule{200}{2}[/tex]

Typically, there are keywords in the story that tell us what operations we need to use.

For instance, in terms of age:

Let's take a look at our first option.

Firstly, this option doesn't even make sense. How can Rana be 11 years old but also 44 years older than Yousif?

Let's look at our second option.

Immediately, we see "11 more years". This means that we will be adding 11 to Rana's current age, which is x:

[tex]x+11[/tex]

This expression above is equal to 44, since the question tells us that Rana will be 44 years old in 11 years:

[tex]x+11=44[/tex]

This is our final expression. It is the same as the given expression in the question.

Rana is x years old. in 11 more years, she will be 44 years old.

Answer:

$34.50

Step-by-step explanation:

$46*.25 = $11.50

$46 - 11.50 = $34.50

Solution:

We know that:

This means that:

Step-1: Convert "25%" into a fraction.

Step-2: Find the discounted price.

Answer:

0.67

Step-by-step explanation:

that is 4 divided by 6

your answer is 0.6666666

it's a recurring decimal

or 0.67

Answer:

don't know just wanted my points you stole

Step-by-step explanation:

Answer:

x=7 and y =2.

2x+y = 16

x+y = 9

Answer:

4 hours

Step-by-step explanation:

Each hour: 145.60/7 = 20.80

83.20/20.80 = 4

Answer:

After 10 weeks, Susan will have $295 and CiCi will have $259.

Step-by-step explanation:

Susan: y= 65+23x

CiCi: y = 119+14x

65+23(6)=203

119+14(6)=203

After 6 weeks, Susan and CiCi will both have $203 in their accounts.

65+23(10)=295

119+(14)(10)=259

Therefore, After 10 weeks, Susan will have $295 and CiCi will have $259.

The expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2.

The model of the height is represented by the following sinusoidal model:

[tex]H(3t) = D \cdot \sin [B(3t)+E][/tex] (1)

Where:

Then, the expression [tex]A(t) = 1.2\cdot H(3t)[/tex] multiplies the amplitude of [tex]H(3t)[/tex] by 1.2. [tex]\blacksquare[/tex]

To learn more on sinusoidal functions, we kindly invite to check this verified question: https://brainly.com/question/22467963

Answer:

50.2

Step-by-step explanation:

First we would do parenthesis and then exponents which they aren't

7 x 4=28

then we would do 3 x 4=12

52 divided by 5=10.4

23 + 32=55 - our 3 x 4

55 - 12=43

so 43 - 10.4=32.6-52 divided by 5

32.6 - 10.4 =22.2

And our last step what is 22.2 + 28=50.2

Hope this helps have a great day:)

Answer:

I hope this helps you

:)

Answer:

Step-by-step explanation:

Given Equation :

[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]

Using distribute property:

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]

Adding the like terms we get :

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]

[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]

Transposing the variables on the right side and constant terms on the left side :

[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]

[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]

Dividing both sides by 5 :

[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]

[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]

Answer:

dont cheat

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

Do the opposite. (2-5+3,0) is (0,0)