A parks department is fencing off a square portion of a park for a memorial. The perimeter of the square is 50.8 meters. How many meters long is each side of the square?

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.

Answer:

Step-by-step explanation:

x=(115cos50+160cos130)=-28.9254

y=(115sin50+160sin130)=210.6622

m^2=x^2+y^2

m=212.64

angle=180+arctan(y/x)

angle=97.82

v=212.64 at 97.82 degrees

Answer:

no

Step-by-step explanation:

10² + 24² ≠ 28²

Answer:

x= 13 /14

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−5

x−2

=

1

3

Step 1: Cross-multiply.

5x−5

x−2

=

1

3

(5x−5)*(3)=1*(x−2)

15x−15=x−2

Step 2: Subtract x from both sides.

15x−15−x=x−2−x

14x−15=−2

Step 3: Add 15 to both sides.

14x−15+15=−2+15

14x=13

Step 4: Divide both sides by 14.

14x

14

=

13

14

x=

13

14

Answer:

x = -6

Step-by-step explanation:

13x = 3(x - 20)              {Use distributive method:a(b+c)=(a*b) + (a*c)

13x = 3*x - 3*20

13x = 3x - 60            {Subtract '3x' from both sides}

13x -3x = -60      

    10x = -60      {Divide both sides by 10}

        x= -60/10

       x = -6

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a⁴)

(this one is a⁴ because a variable with a power multiplied by a variable with a power only adds the powers together)

Answer:

I'm not so sure but I think it's 6 or 9i

Answer:

Step-by-step explanation:

Volume of the prism is the product of its base area and height

Find base area:

Area of the trapezoid:

Substitute given values and solve for h:

Find area of base

Now

Height of trapezoid base be x

Answer:

orange modeling clay . .

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

Answer:

Step-by-step explanation:

2x + 4 = 2(x + 2)

[tex]Area = \frac{1}{2}*b*h\\\\=\frac{1}{2}*(2x-1)(2x + 4)\\\\\\= \frac{1}{2}*(2x - 1)*2*(x + 2)\\\\= (2x -1)(x+ 2)[/tex]

= 2x *x + 2x* 2  + x*(-1) + 2*(-1)

= 2x² + 4x - x - 2

= 2x² + 3x - 2

3,4,5 is correct

as we know that ,

3² + 4² = 5²

9 + 16 = 5²

25 = 25

hence . 3,4,5 is correct

Answer:

I'm pretty sure it's 3,4,5 but I'm not sure (is it in cm,mm etc?)

Answer:

Associative Property of Multiplication

Step-by-step explanation:

The Associative Property of Multiplication states that the answer to an equation will stay the same even if the grouping of the numbers changes.

Answer:

9

Step-by-step explanation:9x5

Answer:

12:35

Step-by-step explanation:

The boy left school at time 12:15 pm.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To find out when the boy left school, we need to add 4 hours and 20 minutes to the time he arrived at school.

To add minutes, we need to make sure both times are in the same format. Let's convert the arrival time of 8:15 am to minutes:

So,

8:15am = 8 x 60 + 15 = 495 minutes

Now we can add 4 hours and 20 minutes:

495 + 4 x 60 + 20 = 735 minutes

So the boy left school at 735 minutes after midnight.

To convert this back to a time, we can divide by 60 to get the number of hours and minutes:

735 minutes / 60

= 12 hours (with 15 minutes remaining)

Therefore,

The boy left school at time 12:15 pm.

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Answer:

the opposite and symmetrical of the given number is 2

Step-by-step explanation:

The computation of an opposite and symmetrical of the given number is shown below:

81:3^4 + 3^0

81:81+1

1 + 1

= 2

Hence, the opposite and symmetrical of the given number is 2

Answer:

x=3.2

Step-by-step explanation:

The value of the function at x =1 is -5.5.

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is y = 2.5x - 8. The value of the function will be calculated as,

At x = 1 the value of y will be,

y = 2.5 x - 8

y = ( 2.5 x 1 ) - 8

y = 2.5 - 8

y = -5.5

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Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]( \sqrt{c})^{2}= \sqrt{c}* \sqrt{c}= \sqrt{c*c}= c\\[/tex]

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

Hyun

Step-by-step explanation:

Vika: 1= 15 minutes

Sandy: 1= 10 minutes

Hyun: 1= 7 minutes

Answer:

x = 3 and y = 1

Step-by-step explanation:

Give system of equations are :

8x-9y=15 ...(1)

−x+4y=1 ...(2)

Multiply equation (2) by 8.

−8x+32y=8 ..(3)

Add equation (1) and (3).

8x-9y -8x + 32y = 15+8

23y = 23

y = 1

Put the value of y in equation (2).

−x+4(1)=1

-x = -4+1

x = 3

Hence, the values of x and y are 3 and 1.

Answer:

The answer is 2

Step-by-step explanation:

The slope of Abha's climb is given by the equation

Slope m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be A

Now , let the point be P ( x , y )

And , the equation is given by

The horizontal distance covered by Abha x = 20 yards

The vertical distance covered by Abha y = 40 yards

Now , the slope of the point is given by the equation

Slope m = vertical distance covered by Abha  / horizontal distance covered by Abha

Substituting the values in the equation , we get

Slope m of Abha's climb = y/x

Slope m of Abha's climb = 40 / 20

Slope m of Abha's climb = 2

Therefore , the slope of the line is m = 2

Hence , The slope of Abha's climb is given by the equation Slope m = 2

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Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

5(−3x−2)−(x−3)=−4(4x+5)+13

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

Answer:

The first on is -80,

next one is -60

third one 3

last one is -54

Step-by-step explanation:

Answer:

c is the correct answer baby

Step-by-step explanation:

How was the government able to make children go to residential school?

Answer:

B

Step-by-step explanation:

Of is multiplication, so correct answer is B

Answer:

b, and d

Step-by-step explanation:

5% * 35 = 0.05 * 35 = 5/100 * 35.

Answer:

x=29

Step-by-step explanation:

We know for a fact that in a square:

- All of its angles have equal measure (90 degrees)

(e.g. Measure of Angle CAT, measure of Angle CST = 90 degrees)

Now that we know the facts, let's try to find x.

Now since we know that all the angles are equivalent to 90 degrees, we can say that Measurement of Angle SCA is 90 degrees. So:

[tex]90=3x+3[/tex]

Next, we'll simply just isolate the x:

[tex]90=3x+3\\90-3=3x+3-3\\87=3x\\\frac{87=3x}{3} \\29 = x[/tex]

Answer:

what the question , so I can help u

Answer:

sure! but which one? i dont see anything

Step-by-step explanation: