If the perimeter of a square garden is 84 feet, what is the area of the garden?
А 21 sq ft
B 84 sq ft
С 336 sq ft
D 441 sq ft

Answers

Answer 1

Answer:

D.441

Step-by-step explanation:

All sides of a square are equal. Due to this, the perimeter can be expressed as 4 times the side of the square. Let x be the side of a square.

Then we have:

4x = 84

x = 21

The area of a square is written as x^2, as x is both the length and the width.

So your answer will be:

(21)^2 = 441

Answer 2

The area of the garden is  441 sq ft

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

Perimeter of a square =4 x length

84 = 4 x length

divide both sides of the equation by 4

84/4 = length

length = 21 feet

Area of a square = length²

21² =  441 sq ft

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Related Questions

A can contains 414 mL of chicken broth. Roland poured 4 cans of broth into a pot for a soup recipe. How many liters of broth did Roland pour into the soup?

Answers

Answer:

1.656 litres

Step-by-step explanation:

1 can = 414ml

4 cans = 414 x 4

4 cans = 1,656ml

1,656ml = 1.656 litres

The amount of broth poured into the soup is 1.656 L.

Given data:

To determine the number of liters of broth Roland poured into the soup, we need to convert the volume of the broth from milliliters (mL) to liters (L).

Given that each can contains 414 mL of chicken broth, and Roland poured 4 cans of broth into the pot, we can calculate the total volume in milliliters:

414 mL/can * 4 cans = 1656 mL

On simplifying the equation:

To convert milliliters to liters, we divide by 1000 since there are 1000 milliliters in a liter:

1656 mL / 1000 = 1.656 L

Hence, Roland poured 1.656 liters of broth.

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On their first dive, researchers explore a part of the ocean floor that is 60 feet

below sea level. This depth can be represented by the integer -60. On their

second dive, researchers explore a deeper depth.

Write an inequality that represents the possible depth, d, of the researchers'

second dive.

Answers

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Given;

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

Answer:

d < -60

Step-by-step explanation:

Let d represent the depth of the researchers' second dive.

Depth of First dive = -60 ft

It was stated that in their second dive, the researchers explore a deeper depth, That is depth deeper than 60 ft.

Since the depth of 60ft is represented by the integer -60,

Deeper depth would be represented by integers less than -60.

So, d can be represented as;

d < -60

PLEASE HELP ME!
How can I figure out the length of the short leg on a 30-60-90 right triangle without measuring it. And how can I determine the hypotenuse of the same triangle without measuring it.

Answers

Divide the long leg by the square root of 3 to find the short leg. Double that figure to find the hypotenuse.

The ordered pair below is a solution to which equation?
(4,12)

Answers

Answer:

C.

Step-by-step explanation:

x= 4, y = 12

A . y = 6x

   12 = 6*4

   12 = 24 false

C. y = 3x

  12 = 3*4

  12 = 12 true

Please answer this very simple attachment Correctly!!! Down below.

Answers

Answer:

3.47, or B

Step-by-step explanation:

I'm weird so I did it a weird way and subtracted the total amount the book costed from the amount she has left and thats how we got how much more she needs.

8.35 - 4.88 =3.47

The answer is 3.47 hope it helps

Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, and a white ribbon for learning how to stay. There are 100 dogs in the school.

62 have blue ribbons, 55 have green ribbons, and 63 have white ribbons.

32 have a blue ribbon and a green ribbon 31 have a green ribbon and a white ribbon; 38 have a blue ribbon and a white ribbon.

16 have all three ribbons.

How many dogs have not learned any tricks?

Answers

Answer:

  5

Step-by-step explanation:

The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.

The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.

The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.

__

If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...

  62 +55 +63 -(16 +15 +22) -2(16) = 95

Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.

Look at Attachment, giving a lot of points for the answer to questions.

Answers

Answer:

see below

Step-by-step explanation:

1.

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

    = (90-80)/(0-1)

     = 10/-1

   =-10

The slope is -10 ft/s

This means the height decreases 10 ft for every second that passes

This is not proportional because it has to go through the point (0,0)

4.

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

    = (1000-0)/(3-0)

     = 1000/3

   =1000/3

The slope is $1000/3

This means the 1000 dollars is sold every 3 days

This is proportional because it goes through the point (0,0) and has a constant slope

Step-by-step explanation:

Let 'm' be slope

HAWK DIVING TOWARDS PREY:

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

= (90 - 80) / (0 - 1)

= 10 /- 1

= - 10

This is not proportional because it doesn't to go through the point (0, 0)

BOOK SALES:

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

= (1000 - 0) / (3 - 0)

= 1000/3

This is proportional because it goes through the point (0, 0)

Hope this helps!

Plz help asap

A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?

Answers

Answer:

22.2 pounds of water are in the baag

Step-by-step explanation:

1 * 0.74 = .74

.74 * 30 = 22.2

What's the 10th term of a sequence with an explicit rule of f(n) = 5 + 2(n – 1)?

A. f(10) = 23
B. f(10) = –5
C. f(10) = 13
D. f(10) = 20

Answers

Answer:

A

Step-by-step explanation:

Substitute n = 10 into the explicit formula , that is

f(10) = 5 + 2(10 - 1) = 5 + (2 × 9) = 5 + 18 = 23 → A

Which type of science is economics? A. physical science B. social science C. life science D. applied science

Answers

The answer is B: social science. It uses scientific methods to build theories that can help explain the behavior of individuals, groups, and organizations.

Answer:The answer is B

Step-by-step explanation:

solve for y in this equation

Answers

Answer:

y= -1 1/3

Decimal form: -1.3

Select the correct answer. Identify the axis of symmetry of the function graphed below. A. x = -3 B. x = -1 C. x = 1 D. x = -4

Answers

Answer:

B

Step-by-step explanation:

The vertex of the parabola is (-1,-4)

So the axis of symetry is x=-1

Combine like terms to find the expression to −6(14b+10)+4(910b+3).

Answers

Answer:

3556b - 48

Step-by-step explanation:

−6(14b+10)+4(910b+3)=

-84b-60+3640b+12=

(3640-84)b+(12-60)=

3556b - 48

the answer i believe is 3556b - 48

Which absolute value function when graphed will be narrow than the graph of the parents function f(x)=|x|

Answers

Answer:

f(x) = 4|x|

Step-by-step explanation:

Answer:

The answer is f(x) = 2.9|x| and f(x) = 1.2|x + 8|

please help i'm literally terrible at this !

Answers

AB have a 90° angle with BC, so the angles ABD + CBD = 90

(7x - 9)° + 4x° = 90°

7x + 4x = 90 + 9

11x = 99

x = 99/11

x = 9

So the angles are:

7x - 9 -> 7.9 - 9 = 54°

4.9 = 36°

Answer:

m<CBD equals 54

Step-by-step explanation:

Since that is a right angle do (7x-9)+(4x)=90

=11x-9=90

=11x=99

x=9

CBD=7x-9

7(9)-9=54

Hope this helps

In the xy-plane, a line that has the equation y = c for some constant c intersects a parabola at exactly one point . If the parabola has the equation y=-x^ 2 +5x. what is the value of c?

Answers

Answer:

c=6.25

Step-by-step explanation:

If a line that is flat (has a slope of zero) hits only one point of the parabola, it means that point is the vertex of the parabola.

In this case your equation is ---

y= –x^2 + 5x

--- and you just need to write in vertex for the equation:

y=a(x–h)^2 + k

y= –(x–2.5)^2 + 6.25

The vertex is (h,k) or (2.5,6.25)

Since the equation is "y=", k=c

or c=6.25

Thank You.

In this question:

We have to find the point of intersection of the line and the parabola.To do this, we have to apply concepts needed to solve a quadratic equation.

Doing this, we find that the value is: [tex]c = \frac{25}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Line: y = c

Parabola: y = -x^ 2 +5x.

The intersection is at the point:

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

[tex]-x^2 + 5x - c = 0[/tex]

[tex]x^2 - 5x + c = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -5[/tex].

The line and the parabola intersect at exactly one point, which means that the quadratic equation has one solution, that is, [tex]\Delta = 0[/tex].

Since:

[tex]\Delta = b^{2} - 4ac[/tex]

It means that:

[tex]b^2 - 4ac = 0[/tex]

We use this to find the value of c.

[tex](-5)^2 - 4(1)(c) = 0[/tex]

[tex]4c = 25[/tex]

[tex]c = \frac{25}{4}[/tex]

The value is: [tex]c = \frac{25}{4}[/tex]

A similar question is found at https://brainly.com/question/15211279

Equation 1: -4x + y = 6

Equation 2: -5x - y = 21

Which variable is easiest to solve for?

A.The easiest to solve for is x in the first equation.

B.The easiest to solve for is y in the first equation.

C.The easiest to solve for is x in the second equation.

D.The easiest to solve for is y in the second equation.

Answers

Answer:

B

Step-by-step explanation:

y in equation 1, since you just

-4x + y = 6

add 4x to both sides to get

y = 4x + 6

while for the rest of the variables in both equations, you need at least two steps

Thus, the answer is B

Answer:

B. The easiest to solve for is Y in the first equation.

Step-by-step explanation:

Since the y has no coefficient in both equations, we look at the steps we take to solve. Equation 2 has to make you multiply negative one by both sides to make y positive, and THEN you would have to subtract 5x from both sides. However, with the first equation, all we need to do to solve for Y is add 4x to both sides. The answer? B. The easiest to solve for is Y in the first equation.

Students were asked to write 6x^5 + 8x - 3x^3 + 7x^7 in standard form.
Shown below are four student
responses.
Anne: 7x^7 + 6x^5 – 3x^3 + 8x
Bob: -3x^3 + 6x^5 + 7x^7 + 8x
Carrie: 8x + 7x^7 + 6x^5 – 3x^3
Dylan: 8x - 3x^3 + 6x^5 + 7x^7
Which student is correct?

Answers

Anne: 7x^7 + 6x^5 – 3x^3 + 8x

Anybody know how to do this?

Answers

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Choose the simplified form of the fifth term of the expansion. -60x2y8 -30x2y8 30x2y8 60x2y8

Answers

Answer:

D

Step-by-step explanation:

i just did it

Answer: D

Step-by-step explanation:

Classify the following triangle?

Answers

Answer:

B.

Step-by-step explanation:

The triangle is obtuse because there only has to be one obtuse angle for it to be obtuse.

Answer:obtuse

Step-by-step explanation: it’s 180 degrees

Can someone help me with number 8 plz ​

Answers

Answer:

7/23

Step-by-step explanation:

Multiples of 4 are 4 and 8

4 was spun 4 times

8 was spun 3 times

total spins = 2+3+2+4+5+3+1+3=23

P( 4 or 8) = number of times spun / total

                = (4+3) / 23

                  =7/23

What would happen if someone sarhpled a basketball team to find the
average height of a school's student body?

Answers

Answer:

Basketball players are normally taller so it would not be accurate

Answer: It wouldn't be valid or reliable because the basketball team is not indicitive of the entire student body.  Additionally, sampling just the basketball team is not random nor is it likely a large enough sample size (unless it is a tiny school).  

Step-by-step explanation:

A car’s speed before a sudden stop can be estimated by the formula
S = √(30gk) , where
S = speed of the car in mph,
g = drag factor, and
k = length of skid mark in feet.
The drag factor during a recent crash was 1. What was the approximate speed of the car if it created skid marks 30 feet long?
a. 30 mph
b. 45 mph
c. 60 mph
d. 90 mph

Answers

Answer:

S = 30 mph

Step-by-step explanation:

A car’s speed before a sudden stop can be estimated by the formula :

[tex]S=\sqrt{30gk}[/tex]

Here,

S = speed of the car in mph,

g = drag factor, and

k = length of skid mark in feet

If drag factor is 1, k = 30 feet

So,

[tex]S=\sqrt{30\times 1\times 30}\\\\S=30\ mph[/tex]

Therefore, the correct option is (a) 30 mph.

What is the slope of the line passing through the following points:
(1,3) & (5,0)

Answers

Answer:

-3/4

Step-by-step explanation:

We can find the slope by using

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

    = (0-3)/(5-1)

   = -3 / 4

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{y_{2}-y_{1}}\\\\=\frac{0-3}{5-1}\\\\=\frac{-3}{4}[/tex]

Given: F(x) = x + 2 and G(x) = 3x + 5

(F*G) (x) =

Answers

Answer:

[tex] \boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10} [/tex]

Given:

[tex]f(x) = x + 2 \\ \\ g(x) = 3x + 5[/tex]

To Find:

[tex] (f \times g)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex]= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10[/tex]

Answer:

[tex]\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}[/tex]

Step-by-step explanation:

Foil:

x times 2x

2 times 3x

x times 5

2 times 5

then add them all up

Which defines a line segment?

two rays with a common endpoint
a piece of a line with two endpoints
a piece of a line with one endpoint
all points equidistant from a given point


B. A piece of a line with two endpoints

Answers

The definition that defines a line segment is

piece of a line with two endpoints.

What is line segment?

Line segment refer to line on a piece which comprises of two points that are extreme to each other.

Therefore, The definition that defines a line segment is piece of a line with two endpoints.

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2nd Option : a piece of a line with two endpoints

What is line ?

A figure formed by joining two points and whose ends are extended to the infinity is called line.

What is line segment ?

A line segment is the finite length between two points, which can be measured. A line segment is a small part of a line.

What is the correct option ?

A line segment is defined as a piece of a line with two endpoints.

Learn more about line segment here :

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Help me sorry im not good at math

Answers

Answer:

D SORRY IF WRONG

Step-by-step explanation:

Answer:

D is the correct answer

-3s + 5 = s + 13
In a linear equation​

Answers

S= -2
-3s + 5 = s + 13

Complete the rule:
positive + positive =

Answers

negative. .... ..... ....

Answer:

Positive

Step-by-step explanation:

Positive plus positive is positive. For example, 3+3. That will be 6. 3 is positive both times. And six is positive.

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