A new youth center is being built in erie. The perimeter of the rectangular playing field is 274 yards. The length of the field is 4 yards less than double the width. What are the dimensions of the playing​ field? need width and length in yards

Answer:   [tex]a_n=6n-2[/tex]

Step-by-step explanation:

a₁, ____, 16, ____, a₅, _____, a₇

The difference of a₇ and a₅ is 2d (two steps to the next term).

It is given that 2d = 12  --> d = 6

We can subtract 6 from a₃ to find a₁

a₁ = 4, 10, 16, ____, a₅, _____, a₇

Input a₁ = 4, d = 6 into the explicit formula for an arithmetic equation.

[tex]a_n=a_1+d(n-1)\\\\a_n=4+6(n-1)\\\\a_n=4+6n-6\\\\\large\boxed{a_n=6n-2}[/tex]

Answer:

17 x^2

Step-by-step explanation:

(8x^2 + 8x) – (-9x^2 + 8x)

Distribute the minus sign

8x^2 + 8x + 9x^2 - 8x

Combine like terms

17 x^2 +0x

17x^2

Answer:

17x^2

Step-by-step explanation:

(8x^2 + 8x) – (-9x^2 + 8x) =

The parentheses on the left side are unnecessary, so just remove them.

= 8x^2 + 8x – (-9x^2 + 8x)

To remove the right set of parentheses, distribute the negative sign.

= 8x^2 + 8x + 9x^2 - 8x

Now combine like terms.

= 8x^2 + 9x^2 + 8x - 8x

= 17x^2

Answer:

36º

Step-by-step explanation:

Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.

2x + 5x + 6x + 7x = 360

20x = 360

x = 18

18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.

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Answer:

36

Step-by-step explanation:

The four angles of a quadrilateral add to 360

2:5:6:7

Multiply by x

2x:5x:6x:7x

Add them together to get 360

2x+5x+6x+7x = 360

20x = 360

Divide each side by 20

20x/20 = 360/20

x =18

The smallest angle is 2x

2*18 = 36

Answer:

x≥2

Step-by-step explanation:

First, write out the equation as you have it:

[tex]58-10x\leq20+9x[/tex]

Then, add [tex]10x[/tex] to both sides:

[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]

Next, subtract [tex]20[/tex] from both sides:

[tex]58-20\leq20-20+19x\\38\leq19x[/tex]

Finally, divide both sides by [tex]19[/tex]:

[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]

or

[tex]x\geq 2[/tex]

Therefore: the answer to this inequality/equation is: x≥2

Answer:

17.5

Step-by-step explanation:

35℅ of 100 is 35 so 200 would be half that

Answer:

Hey!

Your answer is 17.5%!

Step-by-step explanation:

Can be written as...35/200

Now...

MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...

35/200 × 100/100

35×100/200 × 1/100

SOLVED!!!

▶ HOPE IT HELPED ◀

Answer:

364, 1093

Step-by-step explanation:

Answer: D. 20ft

Step-by-step explanation:

Answer:

The answer would be 20 feet.

Step-by-step explanation:

This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.

Answer: C. 324 cm∧3

Just took quiz.

Based on the calculations, the volume of this pyramid is equal to: D. 324 cm³.

Given the following data:

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

Next, we would find the height of this pyramid from the right-angled triangle ABC by applying Tan trigonometry formula:

Tanθ = Opp/Adj = BC/AC

Tan60 = height/6

√3 = height/6

Height = 6√3 cm.

Now, we can calculate the volume of this pyramid:

Volume = 1/3 × base area × height

Volume = 1/3 × 54√3 × 6√3

Volume = 1/3 × 972

Volume = 324 cm³.

Read more on pyramid here: brainly.com/question/16315790

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Answer:

20 mins

Step-by-step explanation:

2003 17 2005 20

Answer:

The answer would be c. 1440

Step-by-step explanation:

one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440

Answer:

x = 28

Step-by-step explanation:

Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is

[tex]\frac{AC}{CR}[/tex] = [tex]\frac{AD}{DR}[/tex] , substitute values

[tex]\frac{10}{x}[/tex] = [tex]\frac{15}{42}[/tex] ( cross- multiply )

15x = 420 ( divide both sides by 15 )

x = 28

The rule for dividing the exponential numbers is that:

x^n / x^m                                            (  " ^ " is refer to show you the exponent)

=  n-m .

So , 9-8 = 1 . and 15 to the power of 1 is equal to 15.

Answer:

[tex]\Huge \boxed{{x=56\°}}[/tex]

Step-by-step explanation:

Angles on a straight line add up to 180 degrees.

Create an equation.

64 + x + 60 = 180

Solve for x.

Add the numbers.

x + 124 = 180

Subtract 124 from both sides.

x + 124 - 124 = 180 - 124

x = 56

Answer:

56°

Step-by-step explanation:

Why?

Therefore, x is 56°

Answer:

question is incomplete.

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

According to the similarity theory of triangles

Answer:

30 miles

Step-by-step explanation:

1/4 = 2

3  3/4 = x

15/4 = x

So, Cross multiply

=> 1/4 * x = 15/4 * 2

=> 1/4x = 15/4 * 4/2

=> 1/4x = 60/8

=> 1/4x = 7.5

=> 1/4x * 4 = 7.5 * 4

=> x = 30

So, 15/4 inches on the map equals 30 miles.

Answer:

B. 10

Step-by-step explanation:

By the property of intersecting secants outside of a circle:

MN*MA = ML*MK

(x - 4) (x - 4 + 3) = (x - 5) (x - 5 + 6)

(x - 4) (x - 1) = (x - 5) (x + 1)

[tex] x^2 - 5x + 4= x^2 - 4x - 5[/tex]

[tex] - 5x + 4= - 4x - 5[/tex]

[tex] 5 + 4= 5x - 4x [/tex]

[tex] 9 = x [/tex]

KM = x - 5 + 6 = 9 - 5 + 6 = 10

Answer:

a c d

Step-by-step explanation:

a c d are quadratic equation expect "b"

Answer:

Step-by-step explanation:

To find the length of AB we use the formula

[tex] \sqrt{ ({x _{1} - x_{2}})^{2} + ({y_{1} - y_{2} })^{2} } [/tex]

Where

(x1 , y1) and (x2 , y2) are the points

From the question

A is (4 , 5) B is (2 , 2)

So the length of AB is

[tex] |AB| = \sqrt{ ({4 - 2})^{2} + ({5 - 2})^{2} } [/tex]

[tex] |AB| = \sqrt{ {2}^{2} + {3}^{2} } [/tex]

[tex] |AB| = \sqrt{4 + 9} [/tex]

We have the final answer as

[tex] |AB| = \sqrt{13} [/tex]

Hope this helps you

Answer:

sqrt(13) = c

Step-by-step explanation:

The length of BC = 4-2 =2

The length of AC = 5-2 =3

We can use the Pythagorean theorem

a^2 + b^2 = c^2

2^2 + 3^2 = c^2

4+9 = c^2

13 =c^2

Take the square root of each side

sqrt(13) = c

Answer:

3.25 miles

Step-by-step explanation:

Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.

Answer: The equation that has resulted from this is 5x - 6.

Step-by-step explanation:

So far, we know that the givens are:

fives times a number and the difference of 6

Then, we can conclude that the term "a number" means an unknown term, so all we have to do is put a variable in its place. It can be k, s, h, z, x, etc. Next, just find the difference of 6. So, from what we know, this is what our new equation looks like:

5 times ( a number) - the difference of 6

In math form:

5 (x) - 6

Simplify:

5x - 6

Hence the answer!

Answer:

-5

Step-by-step explanation:

BODMAS

-4+7-2(3+1)

bracket first

-4+7-2(4)

multiply

-4+7-8

addition

3-8

-5

Answer:

36

Step-by-step explanation:

a² + b² = c²

a² + 77² = 85²

a² + 5929 = 7225

a² = 1296

a = 36

Step-by-step explanation:

[tex] \sqrt{ {85}^{2} - {77}^{2} } [/tex]

[tex] \sqrt{1296} [/tex]

[tex] 36 [/tex]

Answer:

x=9

Step-by-step explanation−4(2x−1)=−6(x+2)−2

(−4)(2x)+(−4)(−1)=(−6)(x)+(−6)(2)+−2(Distribute)

−8x+4=−6x+−12+−2

−8x+4=(−6x)+(−12+−2)(Combine Like Terms)

−8x+4=−6x+−14

−8x+4=−6x−14

Step 2: Add 6x to both sides.

−8x+4+6x=−6x−14+6x

−2x+4=−14

Step 3: Subtract 4 from both sides.

−2x+4−4=−14−4

−2x=−18

Step 4: Divide both sides by -2.

−2x

−2

=

−18

−2

x=9

Answer:

2

Step-by-step explanation:

This is our equation-

-4(2x-1)=-6(x+2)

We are trying to isolate x in a side, but first, we must multiply the numbers in between the brackets. A negative number multiplied by a positive number gives a negative number, and a negative times a negative is positive, so-

-8x·4=-6x+(-12)

Now we have to multiply -8x times 4

-32x=-6x-12

Now we isolate x-

-24x=-12

We divide and get the final result of x=2

x=2

Answer:

$2259.30

Step-by-step explanation:

If will started with 4355.19$ in his checking account and wrote two checks, that mean he has taken money out of his account (subtraction operation).  We can represent this with the expression:

4355.19 -1204.90 - 890.99

Using this expression, we can simplify to find the remainder of money Will has in his account once the two checks clear.

4355.19 - 1204.90 - 890.99

= 4355.19 - (1204.90 + 890.99)

= 4355.19 - (2095.89)

= 2259.30

So once the two checks Will wrote clears, he will have $2259.30 left in his checking account.

Cheers.

Answer:

$2259.28

Step-by-step explanation:

Will have $4355.19

Check writes ($1204.90+$890.99)

                      = $2098.89

Will have left in his account ( $4355.19 - $2098.89)

                                               = $2259.28 (ans.)

Answer:

20 terms

Step-by-step explanation:

Given AP with the first two terms:

Common difference:

To find

Since Sₙ = -30

Solving the quadratic equation we get:

So the sum of 20 terms will add up - 30

Answer: $3433.34  

Step-by-step explanation:

48 months is the same as 4 years  so we will represent the whole situation as.

3000 * 1.046^4 = 3433.34

Answer:

D. 3,552.00

Step-by-step explanation:

Answer:

d) 2i√15

Step-by-step explanation:

60/4 is 15 so you can take out the square of 2 and the -

Answer:

Hey there!

We are trying to find the difference between 4 and -7

We can write -7+x=4, where x is the difference we are trying to find.

Solving for x, we get that the difference is 11.

Let me know if this helps :)

The difference between the high and low temperatures is 11 degrees.

Given :

The high temperature Monday was 4 degrees.

The low temperature was -7 degrees.

We need to find the difference between high and low temperatures .

To find the difference ,we subtract low temperature from high temperature

High temperature - low temperature

[tex]High - low \; temperature \\4-(-7)\\4+7\\11[/tex]

The difference between the high and low temperatures is 11 degrees.

Learn more :  brainly.com/question/4600267

Answer:

270,000,000

Step-by-step explanation:

2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation

To put it in standard notation

Multiply 2.7 by 10⁸, which is 100,000,000