the perimeter of a city rectangular park is 1428 feet. the length is 78 feet more than twice the width. Find the length and width of the park

Answer 8

8+8²=72

8+64=72

72=72

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Answer:

B

Step-by-step explanation:

Sine is opposite/hypotenuse. Sine C  would be 5/13 so option B is correct.

6 minutes per mile.

As in, 30/5= 6

Answer:

Deandre can run 1 mile in 6 min

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

f(x) is the range and values of x the domain

When f(x) = 4 the corresponding value of x in the domain is x = 2

Answer:

2

Step-by-step explanation:

this might not be the best explanation but this is how I thought of it.

f(0)=4?   any number multiplied by zero equals zero so it is not the first answer.

f(2)=4?   if f were to be 2, then 2*2 can equal 4 so this is a pretty good answer.

f(3)=4?  there isn't a whole number you can multiply with 3 that will make 4 so this is not the answer.

f(4)=4?  if f were to be 1 then this could be a possible answer.

so we know that it is either the 2nd or 4th answer. look at the table. if you look, 2 forms into 4 (because they multiplied 2 by 2). but 4 doesn't remain at 4 (because they did not multiply it by 1). so we know the answer is 2.

Hi, I'm happy to help!

To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)

When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.

8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.

Next, We look for any exponents (x²). There are none in this equation.

We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.

40+8t - 96t-16t²-80 - 2t-2=

Once we find like terms, we can rearrange the expression.

(40-80-2)+8t - 96t+16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+(8t-96t-2t)-16t²

(-42)+(-90t)-16t²

(-42)+(-90t)-16t²

This doesn't have any like terms, so we don't alter it.

(122)+(-90t)-16t²

We can now remove the parenthesis.

122-90t-16t²

Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.

-16t²-90t-42

I hope this was helpful, keep learning! :D

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

[tex]\tau_{man}>\tau_{box}[/tex] and

[tex]180r>500(.1524)[/tex] That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

Answer:

I cannot read it

Step-by-step explanation:

Step-by-step explanation:

the answer should be the first option bcos

when we use the table of values

let's just assume the values of x to be 0,1,2and3

so when x= 0

using the given formula y=2x-3

we get

y= 2(0)-3

=0-3

= -3

so we have x=0,y=-3

we do the same for the rest of the values

y=2(1)-3=2-3 =-1

y=2(2)-3=4-3= 1

and on the gragh this gives a straight line

where the values of y are -3,-1,1

and x are 0,1,2

Answer:

D

Step-by-step explanation:

As the graph depicts, the function is increasing in the interval [-2,3]

Answer:

4 : 0

Step-by-step explanation:

10 red and 4 green

There are 0 yellow peppers

green: yellow

4 : 0

Answer:

See attached

Step-by-step explanation:

The points are plotted and connected to make a triangle

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

Given the following data;

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

Step-by-step explanation:

you can check the answer by putting 5 on the place of B... you will get the lateral surface area

118 m²...

hope it helps

Answer:

C. 4(x + y)

Step-by-step explanation:

Use the distributive property.

4(x + y) = 4x + 4y

Answer:

C. 4(x + y)

Step-by-step explanation:

If you multiply this answer out (4 times x and 4 times y) it is the equivalent to 4x + 4y.

Answer:

2x²+3x-6

Step-by-step explanation:

f(x)+g(x)

= x²+6x-5+x²-3x-1

=2x²+3x-6

Perimeter is the distance around the outside.

A square has 4 equal sides:

Perimeter = 21 x 4 = 84 yards

Answer: Perimeter = 84 yd

Explanation:

Perimeter of square = 4 × side

Side = 21 yd

Perimeter = 4 × 21

= 84 yd

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Answer:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²

Answer:

72

Step-by-step explanation:

The diameter is 24

pi is approximated by 3

The circumference is given by

C = pi *d

   = 3 * 24

    = 72

Answer:

the next 3 numbers in the pattern are 1/27 , 1/81. , and 1/243

Step-by-step explanation:

to go from 9 to 3 you either have to subtract 6 or divide by 3. if you subtract 6 it doesn't match with the numbers. if you divide by 3 it matches. you can multiply 1/9 by 1/3 or divide by 3. it end with the same answer

We have that The Next 3 patterns are

1/27,1/81,1/243

From the Question we are told that

Pattern. 9 ,3 ,1 ,1/3, 1/9

Generally

Using in inductive reasoning the pattern progresses as a function of  dividing by 3

Therefore

The next three number are

[tex]x_1=\frac{1/9}{3}\\\\x_1=1/27[/tex]

[tex]x_2=\frac{1/27}{3}\\\\x_2=1/81[/tex]

[tex]x_3=\frac{1/81}{3}\\\\x_3=1/243[/tex]

Therefore

The Next 3 Numbers are

1/27,1/81,1/243

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Answer:

see below

Step-by-step explanation:

It is given that m<A +m<B = m<B + m<C.  We can subtract angle B from each side using the subtraction property of equality.  That leaves m<A = m<C  We can use the symmetric property so that m<C = m<A

Answer:

[tex]thank \: you[/tex]

Step-by-step explanation:

Okay, so...

The Median of a trapezoid is directly in the middle. For some weird mathimatical reason you won't ever need to know unless it's on an exam or you become a math major, its midsegment is the average of the top length and the bottom length.

In other words,

EF = ( BC + AD ) / 2

So for part 1, we can use that equation to find x.

[tex]EF = ( BC + AD ) / 2[/tex]

[tex]4x-18=[(x+12)+(3x-4)]/2[/tex]

[tex]4x-18=[x+12+3x-4]/2[/tex]

[tex]4x-18=[x+3x+12-4]/2[/tex]

[tex]4x-18=[4x+8]/2[/tex]

[tex]4x-18=2x+4[/tex]

[tex](4x-2x) +(-18+18)=(2x-2x)+(4+18)[/tex]

[tex]2x=22[/tex]

[tex]x=11[/tex]

Part 2 is a lot easier now. All we have to do is plug in 11 for x.

[tex]BC =x+12[/tex]

[tex]BC = 11+12[/tex]

[tex]BC = 23[/tex]

-

[tex]AD = 4x-18[/tex]

[tex]AD = 4(11)-18[/tex]

[tex]AD = 44-18[/tex]

[tex]AD = 26[/tex]

-

[tex]EF = 3x-4[/tex]

[tex]EF = 3(11)-4[/tex]

[tex]EF = 33-4[/tex]

[tex]EF = 29[/tex]

Answer:

Part I: x = 11

Part II:

Answer: Third proportion is 21/5.

Step-by-step explanation:

Let the proportion be x

so,

3:5:x:7

so

3:5 = x:7

or, 3/5 = x/7

or, 21 = 5x

or, x = 21/5

Answer:

28.26

Step-by-step explanation:

We want to find the area of the circle shown.

We can calculate the area of a circle using the formula A = πr²

where r = radius

The circle shown has a given diameter of 6

We want the radius.

To convert diameter to radius simply divide the measure of the radius by 2

So radius = 6 / 2 = 3

Now to find the area we simply plug in the value of the radius into the area of a circle formula

Area of a circle: A = πr²

r = 3

( Note that the question says to use 3.14 for π )

So π = 3.14

* Substitute values *

A = (3.14)(3)²

3² = 9

(3.14)(9) = 28.26

A = 28.26

And we are done!

Answer:

-3<x<_3

You plot this on a number line by writing and open circle on -3 and drawing and arrow from that open circle all the way until 3 and them draw a closed circle on 3.

Step-by-step explanation:

Answer:

A. 75.40 m³

Step-by-step explanation:

Diameter of cylinder (d) = 4 m

Radius (r) = ½(d) = ½(4) = 2 m

Height (h) = 3 × r = 3 × 2 = 6 m

Volume of cylinder = πr²h

Substitute the values

Volume of cylinder = π*2²*6

Volume of cylinder = π*4*6

Volume = π*24

Volume = 75.40 m³

Answer:

Step-by-step explanation:

hope it will help you

Answer:

-842

Step-by-step explanation:

We should find the sum of -1451 and 1267 and the sum of 1146 and -2172.

-1451 + 1267 = 1267 - 1451 = -184

1146 + (-2172) = 1146 - 2172 = -1026

Then we subtract -184 from -1026.

-1026 - (-184) = -1026 + 184 = -842

Answer:

sqrt(65)

Step-by-step explanation:

To find the distance between the two points

d = sqrt(  (x2-x1)^2+ (y2-y1)^2)

   = sqrt( (4-3)^2 +(1 - -7)^2)

    = sqrt( 1^2 + (1+7)^2)

    = sqrt( 1+8^2)

    = sqrt(1+64)

sqrt(65)

[tex] \large\begin{gathered} {\underbrace{\boxed{ \bf {\red{Distance \: = \: \sqrt{(x_2 \: - \: x_1) ^{2} \: + \: (y_2 \: - \: y_1) ^{2} } }}}}}\end{gathered}[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ \bigg(4 \: - \: 3 \bigg) ^{2} \: + \: \bigg(1 \: - \: [ - 7 ]\bigg) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ (1) ^{2} \: + \: (1 \: + \: 7 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 1 \: + \: (8 ) ^{2} }[/tex]

[tex] \bf \longrightarrow \: Distance \: = \: \sqrt{ 65 }[/tex]

[tex]\Large \purple \diamond \: \: \underbrace {\rm {{{\color{blue}{Distance \: = \: \sqrt{65} }}}}} \: \: \purple \diamond[/tex]