Dante's Mom wants to build a fence around their yard. Here are the measurements of the yard. What are the measurements of the missing side of the yard? How long will the fence be.

Answers

Answer 1

Answer:

(a)The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].

(b)Therefore, the length of the fence is  [tex]97\frac{1}{2}$ feet[/tex]

Step-by-step explanation:

The diagram of the yard is attached below.

(a)I have labeled the missing dimensions of the yard as x and y.

Therefore:

[tex]y+8\frac{1}{4}=17 \frac{1}{4}\\y=17 \frac{1}{4}-8\frac{1}{4}\\y=9$ feet[/tex]

Similarly:

[tex]x+15\frac{1}{4}=31\frac{1}{2}\\x=31\frac{1}{2}-15\frac{1}{4}\\x=31-15+\frac{1}{2}-\frac{1}{4}\\x=16+\frac{1}{4}\\x=16\frac{1}{4}$ feet[/tex]

The missing measurements are 9 feet and [tex]16\frac{1}{4}$ feet[/tex].

(b)Length of the Fence

The fence is rectangular shaped with:

Length = [tex]31\frac{1}{2}$ feet[/tex]

Width = [tex]17 \frac{1}{4}$ feet[/tex]

Perimeter of a Rectangle = 2(L+W)

Therefore, the length of the fence

[tex]=2(31\frac{1}{2}+17 \frac{1}{4})\\=2(31+17+\frac{1}{2}+ \frac{1}{4})\\=2(48+ \frac{3}{4})\\=96+\frac{3}{2}\\=97\frac{1}{2}$ feet[/tex]

Dante's Mom Wants To Build A Fence Around Their Yard. Here Are The Measurements Of The Yard. What Are

Related Questions

Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1

Answers

The first one because it has the greatest value of 9

Answer:

(1+2)3

Step-by-step explanation: it equals 9 the the other expressions  equal 8 0 and 6 so option one is the greatest value.

Julie and her classmates are holding a car wash to raise money for a trip to England next summer. During the first 32 minutes, they have washed a total of 5 cars. If the class continues to wash cars at this rate, about how many will they have washed after 8 hours?

Answers

Answer:

75 cars

Step-by-step explanation:

Convert the 8 hours into minutes, 480.

Divide by the 32 minutes, 15.

Multiply by the number of cars in 32 minutes, 5.

Answer is 75.

Answer:

75 cars.

Step-by-step explanation:

Let's use a ratio to solve:

minutes  :  cars

    32       :    5

   160      :   25

   320     :   50

   480     :   75

Since 480 minutes is 8 hours, and they get 75 cars washed in 480 minutes, then they have washed 75 cars in 8 hours.

Will mark brainliest! Would also really appreciate it if someone could explain it as well!
[tex]2 sin^{2} (x) \geq sin(x)[/tex]

Answers

Answer:

sin (x) ≥ 0, between 0° and 180° or 0 and π,

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

Step-by-step explanation:

This is how I would do it. Subtract sin(x) from both sides

2[tex]sin^{2} (x)[/tex] - sin(x) ≥ 0 , then factor out sin(x)

sin(x) [2 sin(x) - 1] ≥0, then set each factor ≥ 0

sin(x) ≥ 0 and 2 sin(x) - 1 ≥ 0

sin (x) ≥ 0, between 0° and 180° or 0 and π

2 sin(x) ≥ 1

sin(x) ≥ 1/2, between 30° and 150° or π/6 and 5π/6

What is the equation of the line that is perpendicular to and
has the same y-intercept as the given line?
O y=x+1
Oy=x+5
O y = 5x + 1
O y = 5x + 5

Answers

Answer:

y=5x+1 (this may be correct but I can't guarantee because you haven't provided graph)

Step-by-step explanation:

step 1

Find the slope of the given line

we have

(0,1) and (5,0)

m=(0-1)/(5-0)

m=-1/5

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

m1*m2=-1

m1=-1/5

substitute

(-1/5)*m2=-1

m2=5

step 3

Find the equation of the line with slope m=5 and y-intercept (0,1)

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=5

b=1

substitute

y=5x+1

please mark me brainliest!

Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2

Answers

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Which graph do we get when the leading coefficient is negative?

Here we start with the polynomial:

[tex]f(x) = 2x^4 + 2x + 2[/tex]

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

If you want to learn more about polynomials:

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10 ft
8 ft


Find the perimeter of this figure to the
nearest hundredth. Use 3.14

Answers

Answer:

48.56 ft

Step-by-step explanation:

==>Given:

A rectangular figure joined with a half circle with the following dimensions:

Length of rectangle (l) = 10ft

Width of rectangle (w) = 8ft

Diameter of the half circle (d) = the width of the rectangle = 8ft

π = 3.14

==>Required:

Perimeter of the figure = perimeter of a rectangle + permimeter of the half circle

==>Solution:

Perimeter of rectangle = 2(l + w)

Perimeter of half circle = ½ of circumference of a circle = ½πd

Perimeter of the figure = 2(10 + 8) + (½*3.14*8)

= 2(18) + (3.14*4)

= 36 + 12.56

Perimeter = 48.56 ft (to the nearest hundredth)

Answer:56.56

Step-by-step explanation:

For the perimeter of a rectangle

P = 2 × (a + b)

P = 2 × (8 + 10)

P = 2 × 18

P = 36

For the perimeter of a semicircle

P = (pi × r) + (2 × r)

Diameter = 8

Radius = 8/2

Radius = 4

P = (3.14 × 4) + (2 × 4)

P = 12.56 + 8

P= 20.56

Perimeter of this figure

P = r + c

P = 36 + 20.56

P = 56.56

Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it?

Answers

Answer:

Jeff found the ratio of boys to students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.....answer is the first one

Step-by-step explanation:

Sorry ignore this

Answer:

Boys : Girls = 5 : 7

Jeff should find the number of girls at first.

Step-by-step explanation:

Boys - 10

Girls - 24 - 10 = 14

Boys : Girls = 10 : 14

Boys : Girls = 5 : 7

Jeff did not find the number of girls, he took the number of all students instead.

plse ans anyone plse

Answers

(a+b)^3 = a^3+b^3+3ab(a+b)
(a+b)^3 = (-1)^3

Step-by-step explanation:

(a+b)^3=a^3+b^3+ab^3

(a+b)^3=a^3+b^3=>(-1)^3=-1

Need help with 8-10 didn’t understand this

Answers

Answer:

8. F) -5
9. D) (-2,3)
10. J) -10

Answer:

8 is -5

9 is (-2,3)

10 is -10

Which line segment is only a chord of F?

Answers

Answer:

line AB is a chord

Step-by-step explanation:

Any line that segments a circle and joins two points at the circumference of a circle is called a chord.

line AB is a chord

While

line EC is a diameter

line DF is a radius

Answer:

Correct Answer should be AB

Step-by-step explanation:

I toke the quiz so I know its correct

What are the collinear points on line l ?

Answers

Answer:

Points A, F, and G are three collinear points on line l

Step-by-step explanation:

hope this helps you A,F,G, are the three collinear points on line l :)

Fruchter Corporation keeps careful track of the time required to fill orders. The times, recorded for a particular order are shown. What was the throughput time?

Answers

Answer:

11.0 hours

Step-by-step explanation:

The times, recorded for a particular order are shown below:

Move time                     2.7 hours

Wait time                       26.4 hours

Queue time                   6.4 hours

Process time                  1.8 hours

Inspection time              0.1 hours

Throughput time is also known as cycle time/ manufacturing throughput time, it is the time needed to produce an item. It is the time taken for the item/product to be converted from a raw material into a product ready for use. The throughput time is the sum of the move time, queue time, process time and inspection time.

Throughput time = move time + queue time + process time + inspection time.

Throughput time = 2.7 hrs + 6.4 hrs + 1.8 hrs + 0.1 hrs = 11 hrs

Help me.............Please, i am not good at maths, brainliest will be given, THANK YOU!!!!!

Answers

Answer:

2.5 cm

Step-by-step explanation:

The volume of the prism is the area of the cross-section times the length.

The area of the cross-section is the area of a triangle.

4h×1/2×7 = 35

Multiply and solve for h.

14h = 35

Divide both sides with 14.

h = 35/14

h = 5/2

h = 2.5

2.5cm

and here welcome friend card

Evaluate 2^-4 pleaseee help asap

Answers

Answer:

1/16

Step-by-step explanation:

2^-4

We know that a^ -b = 1/ a^b

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

Answer:

2 ^-4 = 1/16

Step-by-step explanation:

2^-4 = 1/2^4

2^4 =16

so 1/2^4 = 1/16

Please help thank you

Answers

Step-by-step explanation:

Y = 3x + 2

Putting value of y in equation 2

x + 12 = 3x + 2

12 - 2 = 3x - x

10 = 2x

10/2 = x

5 = x

Putting value of x in equation 1

Y = x + 12

Y = 5 + 12

Y = 17

Option D is the correct answer

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distance of the ship from y and the distance of the ship from x?​

Answers

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

Yolo has 2 pieces of string. One is 32 inches long, the other is 48 inches long. She wants to make as many necklaces as she can, all of the same length. What is the longest necklace that can be made?

Answers

The Greatest Common Factor of 32 and 48 is 16.

The longest necklace she can make is of 16 inches length.

She can make a necklace 80 inches long

can i get help for this please

Answers

Answer:

65 units^2

Step-by-step explanation:

[tex]Area = \frac{1}{2} *\frac{base}{height} \\A =\frac{ bh}{2} \\Base = 10\\Height = 13\\A= \frac{10*13}{2} \\\\A = \frac{130}{2} \\A = 65[/tex]

Answer:

60

Step-by-step explanation:

Let's construct the altitude. Since the altitude to the base of an isosceles triangle is the same as the median, we know that the base will be split into 5 and 5. Using Pythagorean Triples the height is 12. The area formula for a triangle is bh / 2 and we know that b and h are 10 and 12 respectively so the answer is 10 * 12 / 2 = 60.

Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.

Answers

Answer:

195 m.

Step-by-step explanation:

The time for the  sound waves to reach the fish is 0.26/2 = 0.13 seconds.

Distance = speed * time

= 1500 * 0.13

= 195 m.

given angle2 and angle 4 are vertical angels. prove angle 2 cong angle 4

Answers

Answer:

Use the Vertical Angles Theorem

Step-by-step explanation:

The vertical angles theorem states that angles vertical/opposite to each other are congruent. Use the vertical angles theorem in your proof.

Answer:

See below.

Step-by-step explanation:

Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)

Answers

Answer:

the answer is (4 + 21)(3-51) = (3-51)(4+ 21)

The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).

What is Commutative Property?

The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.

According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.

Let A and B be the two integers, then;

A × B = B × A

As, we know commutative Property supports multiplication and Addition.

First,  (4 + 21) = (21 + 4)

This is Commutative Property of Addition.

Second,  (4 + 21)(3-51) = (3-51)(4 + 21)

This is Commutative Property of Multiplication

Third, (4 + 21(3-51) = (4 + 21)(3-51(1)

No property can be applied.

Fourth, (4 + 21) = (4 + 21 + 0)

This is expansion.

Learn more about Commutative Property here:

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does anyone know the answer to this? If so can u please help me.

Answers

Answer:

[tex] m\angle M = 90\degree\\

m\angle L = 24\degree[/tex]

Step-by-step explanation:

LM is tangent to the circle at point M and NM is radius.

[tex] \therefore NM\perp LM.. (radius \perp tangent) \\

\huge\orange {\boxed {m\angle M = 90\degree}} \\[/tex]

By interior angle sum postulate of a triangle, we have:

[tex] m\angle L + m\angle M + m\angle N = 180\degree \\

m\angle L + 90\degree + 66\degree = 180\degree \\

m\angle L + 156\degree = 180\degree \\

m\angle L = 180\degree - 156\degree \\

\huge\red {\boxed {m\angle L = 24\degree}} \\[/tex]


What is the value of this expression

Answers

Answer:

157

Step-by-step explanation:

4(x2+3)-2y

4((-6)2+3)-2(-1/2)

4(36+3)-(-1)

4(39)+1

156+1

157

Answer:

157

Step-by-step explanation:

A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Evaluate the following expression

Answers

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

help me, please asap

Answers

Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

YOOO PLZ HELP ASAP!!!

Answers

Answer:

Step-by-step explanation:

its B

Answer:

B

Step-by-step explanation:

given that the number 33554432 is equal to 2^25, explain how you know that 33554432 is not a square number

Answers

Answer:

25 is not an even number so 2^25 will not be a perfect square number

Step-by-step explanation:

This question is based on squares. Therefore, 33554432 is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.

Given that:

The number 33554432 is equal to [tex]\bold{2^{25}}[/tex].

We need to determined that 33554432 is not a square number.

As we know that,

Even power of 2 gives a perfect square.

For example,

[tex]2^{2} =4\\2^{4} =16\\2^{6}= 64[/tex] ....

Therefore, in given question the power of 2 is odd that is 25.So, we conclude that given number that is 33554432 is not a  perfect square.

Hence, 33554432  is not equal to [tex]\bold{2^{25}}[/tex] and not a perfect square.

For more details, please refer to this link:

https://brainly.com/question/22167068

The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation

Answers

Answer:

This is called a vertical translation, which is answer D.

Step-by-step explanation:

Given: g(x) = f(x) + 2.

This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).

The type of transformation is called a vertical translation, which is answer D.


HELP please!!! For two figures to be congruent their corresponding sides and exterior angles must be equal

Please select an answer,

a. true
b. -
c. -
d. False

Answers

Answer: I think its A

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America has aeconomic system.A.democraticOB.republicanO C.communistOD.mixed-capitalist What is the nth term rule of the quadratic sequence below -4,1,12,29,52,81,116 Ginocera Inc. is a designer, manufacturer, and distributor of low-cost, high-quality stainless steel kitchen knives. A new kitchen knife series called the Kitchen Ninja was released for production in early 2016. In January, the company spent $600,000 to develop a late-night advertising infomercial for the new product. During 2016, the company spent $1,400,000 promoting the product through these infomercials, and $800,000 in legal costs. The knives were ready for manufacture on January 1, 2016.Ginocera uses a job order cost system to accumulate costs associated with the kitchen knife. The unit direct materials cost for the knife is:Hardened steel blanks (used for knife shaft and blade) $4.00Wood (for handle) 1.50Packaging 0.50The production process is straightforward. First, the hardened steel blanks, which are purchased directly from a raw material supplier, are stamped into a single piece of metal that includes both the blade and the shaft. The stamping machine requires one hour per 250 knives.After the knife shafts are stamped, they are brought to an assembly area where an employee attaches the handle to the shaft and packs the knife into a decorative box. The direct labor cost is $0.50 per unit.The knives are sold to stores. Each store is given promotional materials, such as posters and aisle displays. Promotional materials cost $60 per store. In addition, shipping costs average $0.20 per knife.Total completed production was 1,200,000 units during the year. Other information is as follows:Number of customers (stores) 60,000Number of knives sold 1,120,000Wholesale price (to store) per knife $16Factory overhead cost is applied to jobs at the rate of $800 per stamping machine hour after the knife blanks are stamped. There were an additional 25,000 stamped knives, handles, and cases waiting to be assembled on December 31, 2016.Required:A. Prepare an annual income statement for the Kitchen Ninja knife series, including supporting calculations, from the information provided. Refer to the list of Amount Descriptions for exact wording of the answer choices for text entries. Ginocera Inc. Income Statement For the Year Ended December 31, 20161234 Selling expenses:56789 Administrative expenses:101112B. 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