The area of a garden is (x² + 7x + 10)
square yards. Find the dimensions of the
garden if x= 14.

Answers

Answer 1

Answer:

The dimensions are approximentaly 17.44.

Step-by-step explanation:

= x2 + 7x + 10

= 196 + 7x + 10

= 196 + 98 + 10

= 294 + 10

= 304 yards squared  

Answer 2

The dimensions of the garden if x= 14 will be approximately 17.44.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = [tex]side^{2}[/tex]

The area of a garden= (x² + 7x + 10)

= 196 + 7(14) + 10

= 196 + 98 + 10

= 294 + 10

The area of a garden= 304 yards squared  

The area of a garden = side × side

                  √ 304 = side

                     side = 17.44 yards

Thus, the dimensions of the garden if x= 14 will be 17.44 yards.

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Related Questions

Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?

Answers

Answer:

Shota's speed = 5 m/s

In total, it take 6 seconds to reach the edge of the volcano.

Step-by-step explanation:

Given;

Total height below the edge of the volcano = 30 m

(Note that he climbed at constant rate)

After 4.5 seconds, he was 7.5 meters below the edge of the volcano.

Time = 4.5 s

Distance covered = 30 - 7.5 = 22.5 m

His speed = distance covered/time

Substituting the values;

Speed = 22.5/4.5

Speed = 5 m/s

Time needed to reach the edge;

Time = distance/speed

Speed = 5m/s

Distance = 30 m

Substituting;

Time = 30/5 = 6 seconds

A student is deriving the quadratic formula. Her first two steps are shown.

Step 1: –c = ax2 + bx

Step 2:

Which best explains or justifies Step 2?

Answers

Please consider the complete question.

A student is deriving the quadratic formula. Her first two steps are shown. Step 1: [tex]-c = ax^2 + bx[/tex]

Step 2: [tex]-c = a[x^2+\frac{b}{a}x][/tex]

Which best explains or justifies Step 2?

A. division property of equality

B. factoring the binomial

C. completing the square

D. subtraction property of equality

We can see that in step 2 student has factored the right side of equation.

The student factored our a from the right side of equation. To factor our a from right side, student has divide the bx term by a.

We can multiply and divide by same quantity in an equation.

[tex]-c = ax^2+a\cdot \frac{b}{a}x[/tex]

Now we can factor out a as:

[tex]-c = a(x^2+\frac{b}{a}x)[/tex]

Therefore, the 2nd step is known as factoring of binomial and option B is the correct choice.

Answer:

it b factoring a binomial on

Step-by-step explanation:

thats on edge

What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .

Answers

Divide any term by the one before it, and you'll get the ratio. -20/4=-5

SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP

Answers

Answer:

It's B.

Step-by-step explanation:

Z=-3, z=6

11(4t + 1) whats the answer

Answers

Answer:

44t + 11

Step-by-step explanation:

[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]

Answer:

the answer is attached to the picture

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

The answer is D

I hope this is right

A student solved this problem and said the answer was 5 1 4 14 miles. Danielle ran 3 1 8 18 miles on Tuesday, 4 1 2 12 miles on Wednesday, and 5 1 4 14 miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 13 miles. Yes, the answer is reasonable. No, the answer is not reasonable. It should be about 2 miles. No, the answer is not reasonable. It should be about 20 miles.

Answers

Question

A student solved this problem and said the answer was [tex]5\frac{1}{4}[/tex] miles. Danielle ran [tex]3\frac{1}{8}[/tex] miles on Tuesday, [tex]4\frac{1}{2}[/tex] miles on Wednesday, and [tex]5\frac{1}{4}[/tex] miles on Thursday. How far did Danielle run altogether? Is the student's answer reasonable?

- No, the answer is not reasonable. It should be about 13 miles.

- Yes, the answer is reasonable.

- No, the answer is not reasonable. It should be about 2 miles.

- No, the answer is not reasonable. It should be about 20 miles.

Answer:

- No, the answer is not reasonable. It should be about 13 miles.

Step-by-step explanation:

Given

Student solution = [tex]5\frac{1}{4}[/tex] miles.

Miles covered on Tuesday = [tex]3\frac{1}{8}[/tex] miles

Miles covered on Wednesday = [tex]4\frac{1}{2}[/tex] miles

Miles covered on Thursday = [tex]5\frac{1}{4}[/tex] miles

Required

- Total distance covered by the student

- Is the student answer reasonable?

To calculate the actual distance covered by Danielle, we simply add the distance covered on each day,

This goes thus

Distance = [tex]3\frac{1}{8}[/tex] + [tex]4\frac{1}{2}[/tex] + [tex]5\frac{1}{4}[/tex]

Convert to Improper Fractions

Distance = [tex]\frac{25}{8}[/tex] + [tex]\frac{9}{2}[/tex] + [tex]\frac{21}{4}[/tex]

Take LCM

Distance = [tex]\frac{25 + 36 + 42}{8}[/tex]

Distance = [tex]\frac{103}{8}[/tex]

Distance = 12.875

From the calculations above, we can conclude that the student's answe is not reasonable because his calculation ([tex]5\frac{1}{4}[/tex] miles) is much more smaller than the actual result 12.875 miles

From option A through D, Only option A is correct because 12.875 miles cam be approximated to 13 miles.

Hence,

A. - No, the answer is not reasonable. It should be about 13 miles.

is the right answer

OVER HERE WALKER
What is the circumference of a circle with a diameter of 21 cm ?

Answers

Answer:

65.97

Step-by-step explanation:

The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.

PLEASE HELP....NEED TO SUBMIT IT NOW......

Answers

Answer:

14/27

Step-by-step explanation:

Let x be the unknown number

-2/3 * x = -28/81

Multiply each side by -3/2

-3/2*-2/3 * x = -28/81 * -3/2

x = 28/2 * 3/81

x =14*1/27

x = 14/27

Answer:

14/27

Step-by-step explanation:

Let x be the other number

x × -2/3 = -28/81

x = -28/81 × -3/2

x = 14/27

Find the volume of a tennis ball with diameter of 6.7 centimeters. Round your answer to the nearest hundredth.

Answers

Answer:

157.48

Step-by-step explanation:

In how many ways can five models line up to have their
photograph taken?
F. 120 G. 60 H. 25 I. 20

Answers

Answer:

120

Step-by-step explanation:

by using the basic counting rule, there are 5 positions first, then 4, then ,3 and so on down to one. so when you multiply them all together, you get 120. Also i took  a test with the same qeustion, and that was the anwer :)

Answer:

120

Step-by-step explanation:

5 times 4 times 3 times 2 times 1= 120

5 choices for first

1 choice already taken so 4 for the other model

3 for the other

2 for the other

and 1 for the other

=120

Its correct, trust me!

Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.

Answers

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?

Answers

Answer:

y=-2x+9

Step-by-step explanation:

1. Make m value opposite of og m value.

2. Then plug in variables x and y into the equation

3. Solve for b

-1 = -2(5) + b

9 = b

4. You have the answer

John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?

Answers

Answer:

32 cubic feet

Step-by-step explanation:

To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.

In this case we have a rectangular hole that has an area of 8 square feet.

As we said before:

Volume = Area x height.

If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:

Volume = 8 x 4 = 32 cubic feet.

Thus, the volume of John's hole is 32 cubic feet.

Answer:

32 cubic feet

Step-by-step explanation:

The volume of a rectangular prism is given by;

Length*width*Height

or, Area*height

Height = 4 feet

Area= 8 square feet

Conversion to Cubic feet is given by;

(cubic feet) = (square feet) × (height in feet)

Therefore,

Cubic feet = 8 square feet*4 feet

= 32 cubic feet.

What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?

Answers

Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.

x-intercept(s): (2.30581496,0)

y-intercept(s): None

An author published a book which was being sold online. The first month the author
sold 15800 books, but the sales were declining steadily at 5% each month. If this
trend continues, how many total books would the author have sold over the first 11
months, to the nearest whole number?

Answers

Answer:

7110 books

Step-by-step explanation:

5%*15800=0.05*15800=790

790*11=8690

15800-8690=7110

Therefore, 7110 books

Answer: 86,900

Step-by-step explanation:

I changed the 5% into decimal form and made it 0.5. Next, I multiplied 0.5 by 11, which gave me 5.5.

15,800 x 5.5 = 86,900

So, the author would’ve sold 86,900 books in the first 11 months.

(Sorry if wrong. Yeah I think I’m wrong now because I’m not even in high school. Just ignore this lol)

Fiona draws a circle with a diameter of 14 meters. What is the area of Fiona’s circle?

Answers

Answer:

The area of the circle is [tex]153.94meters^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^{2}[/tex]

To work this out you would first need to divide the diameter of 14 by 2, this gives you 7. This is in order for us to calculate the radius. The radius of a circle is the length from one side to the centre.

Now that we know the radius the next step is to multiply pi by the radius of 7 squared, this gives you 153.94. This is because in order for you to calculate the area you would substitute the values into the formula.

1) Divide 14 by 2.

[tex]14/2=7[/tex]

2) Multiply pi by 7 squared.

[tex]\pi *7^2=153.94 meters^2[/tex]

153.94 square meters is the area of the triangle.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

The formula to calculate the area of a circle is A = πr², where A is the area and r is the radius of the circle.

Since the diameter is given as 14 meters, the radius can be calculated by dividing the diameter by 2:

r = d/2 = 14/2 = 7 meters

Now, we can substitute this value of radius into the formula for the area of a circle:

A = πr² = π(7)² = 49π square meters

Therefore, the area of Fiona's circle is 49π square meters (or approximately 153.94 square meters if π is approximated to 3.14).

Learn more about Area here:

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please help.will mark brainliest!

Answers

Answer:

1 an -5/2

Step-by-step explanation:

HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST

Answers

Answer:

The answer is D

Step-by-step explanation:

Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False

Answers

Answer: false

Explanation:
False, I had this on a quiz and got it correct

What is my favorite subject?
If you get this correct then I'll mark you brainliest
If you're wrong then I'll cancel your answer or you can edit it.

Answers

Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6

Answers

Answer:

B

Step-by-step explanation:

hope this helps.......

Answer:

my answer is B

Step-by-step explanation:

I know this because I just took a test on this and got it right.

It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?

Answers

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

  3 men would  obviously take  less time to paint the same fence;

            2 men= 6 hrs

            3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

                                                                                                = 4 hrs

Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive

Answers

Answer:Regina recieved $14 dollars of change

Step-by-step explanation:

12+14=26

40-26=14

The change received by Regina is $14.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Regina bought a book for price = $12

Regina bought a game for price = $14

Total amount paid by Regina = $40

The Regina should receive the change,

⇒ [tex]Change = 40-(12+14)[/tex]

⇒ [tex]Change = 40-26[/tex]

⇒ [tex]Change = 14[/tex]

Hence we can conclude that the change received by Regina is $14.

Learn more about word problems here

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Gary needs to solve 120 problems by a certain day. He calculated, that to finish all the problems in time, he needs to solve 5 problems every day. But Gary's family is going on a trip, and for 4 days Gary will simply have no time to do math. How many problems will he need to be solving every day when he is not on a trip to still be done in time?

Answers

Answer:

To be done in time, he would need to solve 6 questions per day on the days that he is not on trip

Step-by-step explanation:

If he solves the problems 5 per day, the total number of days that would be required to finish solving the problem would be 120/5 = 24 days

Now, he has 4 free days which would be for a family trip. The number of questions that he would miss during those trip days will be 4 * 5 = 20 questions

Now since he wants to still finish on time, what is needed to be done is to share the 20 left overs amongst the 20 days which he has to work

This makes a total of 1 question per day

Adding this to the 5 questions per day he has before will be = 6 questions per day

Answer:

6 problems

Step-by-step explanation:

Which shows a correct way to determine the volume of the right rectangular prism?
71cm
8cm
9+1+8 = 18 cm
219 + 1 + 8) = 36 cm
9(3) + 1 = 28 cm
98)(1) = 72 cm​

Answers

9(8)(1) = 72cm^3 (The last option)


The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.

Answers

Answer:

Option "A" is the correct answer to the following question.

Step-by-step explanation:

Given:

Total number of experiment = 50

Find:

Probability to get less then 4:

Computation:

⇒ Total number can be get less then 4 = 4+2+3

⇒ Total number can be get less then 4 = 9

⇒ Probability of an outcome = Total number of outcomes /  Total number of experiment

⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment

Probability to get less then 4 = 9 / 50

The volume of a right rectangular prism can be found by finding the product 3(6)(12). Which expression could also be used to
determine the volume of this prism?
VX
36(6)
2(3 + 12 + 6)
4(3)(12)
12+6+3
Next
Submit
Save and Exit
Mark this and return
Activity

Answers

Answer:

a

Step-by-step explanation:

x² + 6x +8=0
In factoring algorithm

Answers

Answer:

(x+2)(x+4)

Step-by-step explanation:

Answer:

( x + 2 ) ( x + 4 )

Step-by-step explanation:

WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.

Answers

[(81*3.14)/4] - (81/2)

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

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