Mathematics High School

Wyatt's dog is tethered to a post in his yard. If the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (Use 3.14 for π.)

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452.16 yd 2 50.24 yd 2 75.36 yd 2 25.12 yd 2

Answers

Answer 1

Solution:

Wyatt's dog is tethered to a post in his yard.

The rope tied to the dog is 12 feet long.

we have been asked to find

How many square yards does the dog have access to?

when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.

So Area access to dog in ft^2 [tex] = \pi r^2=\pi 12^2=144 \pi [/tex]

But it ask for area in yards, so we will have to use conversion formula

[tex] 1ft=0.33333yard [/tex]

Area access to dog in yards[tex] =144*3.14*(0.33333)^2=50.24 \ Yards [/tex]

Answer 2

Answer:

Wyatt's dog is tethered to a post in his yard.

The rope tied to the dog is 12 feet long.

we have been asked to find

How many square yards does the dog have access to?

when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.

So Area access to dog in ft^2  

But it ask for area in yards, so we will have to use conversion formula

Area access to dog in yards

Step-by-step explanation:

Related Questions

If your credit score is 750, how much will you pay in interest by the end of 1 month if you owe $2,375.00?

$31.17
$24.74
$18.31
$11.38,

Answers

 The answer is $18.31.  The answer would be the third option.
The interest is 1/12
Then 9.25% multiplied by the $2,375 balance
(0.0925 * 2375) / 12 = 219.69
=219.69 / 12
 = $18.31 

Answer:

$18.31

Step-by-step explanation:

Credit score = 750

Period (n) = 1 month

Debt = $2375

Since the score is 750, from the table annual rate = 9.25%

Monthly rate (r) = 9.25/12 = 0.7708%

Interest =.PRT/100

P= principal amount

R= rate

T = time taken

Interest = (2375*0.7708*1)/100

= 18.6065

= $18.31 (approximately )

A cube has a volume of 27 squared feet. What is the length of each side?

Answers

Hello!

The formula for volume of a cube is [tex]V= a^{3} [/tex]; you are given the volume, so plug it into the formula for [tex]V[/tex].

[tex]V= a^{3} [/tex]
[tex]27= a^{3} [/tex]

Take the cube root of each side:

[tex]27= a^{3} [/tex]
[tex] \sqrt[3]{27} = a^{3} [/tex]
[tex]3=a[/tex]

Answer:
The length of each side is 3 cubic feet.
using formula v=a^3
a=v^1/5=27^1/5=3
 to checking your answer 
             v=a^3
                   3^3
                     27
the answer for your question is 3

Moa finished 60% of her homework in 45 minutes how many minutes does it take her to do the whole thing

Answers

The percentage of homework completed in 45 min is 60%
The whole homework is 100%. 
The total amount of time it will take Moa to finish the homework will be given by:
100/60×45
=75 min
=1 hour 15 min

look at the picture below // PLEASE HELP // 30 points

Answers

C. the circumference is the answer
thx 4 tha points!!!!!!!!!!!!!

plz help me on this question

Answers

g(x) is f(x) shifted 2 down.

So the answer is:

g(x) = f(x) - 2 
(B)

Someone please explain how the GCF of x^4 and x^3 equals x^3. This has me stumped.

Answers


GCF is the greatest common factor. its the value of the factors that are common to both the numbers being compared. In other words the product of the factors that are common to both numbers or the greatest factor common to both numbers.
factors of x⁴ = x * x * x * x = (x * x * x) * x
factors of x³ = x * x * x = (x * x * x)
factors common to both are (x * x * x) Therefore GCF is x³

Look Ray 0.45 hour to rake the leaves and 3/4 hour to mow the lawn how many minutes did it take him to do both tasks

Answers

0.45*60=27
0.75*60=45
27+45=72
The answer is 72 minutes

What would happen to the buying power of your investment after one year if your rate of return was 3% and the rate of inflation was 3%?

Answers

Purchasing power is the value of a currency expressed in terms of the amount of goods or services that one unit of money can buy. A rate of return is the annual percentage return realized on an investment, which is adjusted for changes in prices due to inflation or other external effects.
Given: 
Rate of return = 3%Rate of inflation =3%
Buying Power = 3% - 3% = 0%
Thus, the buying power will remain same for the year.

SOMEONE HELP ASAPPPPPPP!!! PLEASE
1. A person at ground level measures the angle of elevation to the top of a building to be 74°. If at this point the person is 34 feet away from the base of the building, then how tall is the building?

Please round to the tenths place.
Please show work/steps and provide units with your answer.

2. In right triangle PQR, P and Q are complementary angles. The value of sin Q is
9/
. What is the value of cos P?

A.9/41
B.41/9
C.40/41
D/41/40

Answers

Part 1
The distance between the person and the building can be written as:
[tex]x=c\cdot \cos(\theta)[/tex]
C would be the line connecting the top of the building and the person(hypotenuse).
The height of the building is:
[tex]h=c\cdot \sin(\theta)[/tex]
If we get the c from the first equation and plug in the second one we get:
[tex]h=\frac{x}{\cos(\theta)}\cdot\sin(\theta)=x\cdot \tan(\theta)=32ft\cdot3.45=110.4$ft[/tex]
Part 2
If we P and Q are complementary that means that they sum is 90 degrees.
Because of this sin(Q) must be the same as cos(P). 
Sum of the angles in any triangle is 180 if we have a right triangle and two complementary angles that means that those two angles have to be 45 degrees. Sin and cos are the same for the 45-degree angle.
I attached the diagram that would make this clear.



The sum of two numbers is 58 . the smaller number is 10 less than the larger number. what are the numbers?

Answers

X+Y=58
X-Y=18 ADD
----------------
2X=76
X=76/2

X=38 ANS. FOR THE LARGER NUMBER.
38+Y=58
Y=58-38
Y=20 ANS. FOR THE SMALLER NUMBER.
PROOF:
38-20=18
18=18

In the previous problem, Ken predicted a drop in temperature. Explain why a drop in temperature would lead to adding a negative integer.

Answers

A drop in temperature means the temperature will decrease. That decrease is represented by a negative integer, which should be added to the previous temperature.

Answer:

Because  a drop in temperature means decrease in temperature therefore, we take an integer  with negative sign and added to previous temperature.

Step-by-step explanation:

Drop in temperature means decrease in the temperature .When the temperature decreases then we take decrease value of temperature in negative integer. Because decrease means the temperature fall  down  .Hence , the  decrease in temperature measure with negative sign .

For example,  if we take temperature T= 70°C.

If the temperature decreases by 5°c  then the temperature

Decrease in temperature=-5°C

Hence, the temperature T= 70+(-5)=65°C.

Therefore , from example we can say that when temperature decreases by some value in integer . Then ,we get final  temperature obtained  by adding  drop in temperature ( negative integer  ) in previous value of the temperature.

If 10*10 is 100 and 100*100 is 10000 what is 10000*10000???? ; )

Answers

Hi!

You just have to count the zeros..

10*10 (2 zero) = 100
100*100 (4 zero) =10 000
10 000*10 000 (10 zero) = 10 000 000 000

10000 * 10000 is equivalent to 10,000,000

10² is  10 × 10, which equals 100.

10⁴ is 100 × 100, which equals 10,000.

Following this pattern,

we see that large numbers can be simplified using exponents:

The number 10,000 can be written as 10⁴ because:

10 × 10 × 10 × 10 = 10,000

Now, to calculate 10,000 × 10,000:

10,000 is 10⁴, so this is:

(10⁴) × (10⁴) = 10⁸.

So, 10000 * 10000 = 10⁸ = 100,000,000.

So, 10000*10000 is 100,000,000.

Find the surface area of a sphere with a radius of 30 m. leave your answer in terms of pi @Directrix

Answers

The formula for surface area of a sphere: A = 4 pi r^2.  
Since the radius is 30 m then A = 4pi30^2. 
 30^2 x 4 =3600
 A=3600pi m

What is the simplified form of (3 / x^3) / (1 / x^2) ?

Answers

The simplified form of (3/x^3) / (1/x^2) is 3/x

solve
USA Highschool Geometery

Answers

The angle bisector divides the opposite side into segments proportional to the sides of the triangle.

side of length 4 is divided into segments 11 : 13. One is 4*11/24 = 11/6, the other 13/6.

side of length 11 is divided into segments 4 : 13. One is 11*4/17 = 44/17, the other is 11*13/17 = 143/17

side of length 13 is divided into segments 4 : 11. One is 13*4/15 = 52/15, the other is 13*11/15 = 143/15

Bill takes a loan of 9,000.00 at a 8% simple interrst rate for 6 years a.how much interest will he pay after 2 years? b. how much interest will he pay in total for the loan


help plz

Answers

Final answer:

Bill will pay an interest of $1440 after 2 years and a total interest of $4320 over 6 years.

Explanation:

The subject of your question is related to simple interest calculation. The formula to calculate the simple interest is I = P * R * T, where I is the interest, P is the principal amount (initial loan), R is the annual interest rate in decimal form and T is time in years.

So when you ask 'how much interest will Bill pay after 2 years?', you plug in your values as follows: I = $9000 * 0.08 * 2 which calculates to $1440.

For the total interest Bill will pay over the 6 years, we substitute the values into the formula again but this time T = 6. So, I = $9000 * 0.08 * 6 which calculates to $4320.

Learn more about simple interest calculation here:

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Bill will pay $1,440.00 in interest after 2 years and a total of $4,320.00 in interest for the entire loan period of 6 years.

Simple interest can be calculated using the formula Interest = Principal × Rate × Time (I = PRT).

Part A: Interest After 2 Years

The principal amount is $9,000.00, the interest rate is 8%, and the time is 2 years.

Interest = 9,000 × 0.08 × 2 = 1,440

Bill will pay interest of $1,440.00 after two years.

Part B: Total Interest for the Loan

Again, using the same formula but for 6 years:

Interest = 9,000 × 0.08 × 6 = 4,320

Bill will pay a total of $4,320.00 in interest over the entire loan period.

What is the coefficient of the term of degree 2 in the polynomial below? x^6+3-2x^2+4x^7-4x a. -2 b. 3 c. -4 d. 4

Answers

we have that
x^6+3-2x^2+4x^7-4x

we know that 
the term of degree 2 in the polynomial is -2x² 
and the coefficient of the term of degree 2 is (-2)

the answer is option a) -2

Answer:

a. [tex]-2[/tex]

Step-by-step explanation:

The given polynomial is

[tex]x^6+3-2x^2+4x^7-4x[/tex]

We rewrite the polynomial in standard form to obtain;

[tex]4x^7+x^6-2x^2-4x+3[/tex]

The term of degree 2 in the polynomial is [tex]-2x^2[/tex].

The coefficient of this term is the constant that is multiplying [tex]x^2[/tex] which is [tex]-2[/tex]

Please help if you know how to do this type of math! :)

Answers

It's just a tiny bit sloppy. The 10.2 cm should be designated with a right angle too. I'll answer it that way.

Area = (L1 + L2)*h/2
L1 = 10.2
L2 = 12.2
h = 12.6 
all givens are in cm.

Area = (10.2 + 12.2)*12.6/2
Area = 22.4 * 6.3
Area = 78.12 cm^2

MATH HELP PLEASE WILL GIVE BRAINLIEST!!!
This figure shows circle A with inscribed ∠RSQ .

m∠RSQ=24°



What is the measure of RSQ?

Answers

the measure of RSQ is 24 degrees

For a better understanding of the solution and the explanation given here please go through the diagram in the file attached.

By definition, measure of an arc is the angle subtended by the arc at the centre of the circle. Thus, the measure of the arc [tex] \overarc {RSQ} [/tex] is the measure of the [tex] \angle RAQ [/tex] (in red) which the arc [tex] \overarc {RSQ} [/tex] subtends at the center.

Now, in order to find the measure of the [tex] \angle RAQ [/tex] (in red) we will have to use the information given in the question. We have been told that [tex] m\angle RSQ=24^{\circ} [/tex]. Now, we know that the double angle theorem says that, the angle subtended at the centre of a circle is double the size of the angle subtended at the circumference from the same two points. Therefore, applying this theorem we get:

[tex] \angle RAQ =2\times 24^{\circ}=48^{\circ} [/tex]

Thus if [tex] \angle RAQ [/tex] (in red)=[tex] 48^{\circ} [/tex], then [tex] \angle RAQ [/tex] (in green) will be equal to measure of the arc [tex] \overarc {RSQ} [/tex]. Now, [tex] \angle RAQ [/tex] (in green) will obviously be:

[tex] \angle RAQ [/tex] (in green)=[tex] 360^{\circ}-\angle RAQ [/tex] (in red)

[tex] \angle RAQ [/tex] (in green)=[tex] 360^{\circ}-48^{\circ} [/tex]

[tex] \angle RAQ [/tex] (in green)=[tex] 312^{\circ} [/tex]

Thus, the measure of arc [tex] \overarc {RSQ} [/tex]=[tex] 312^{\circ} [/tex]


In the decimal number 26.513, what number is in the tens place?

Answers

Hi ! 

In the decimal number 26.513:

2 is in the tens place.

Order the group of quadratic functions from widest to narrowest graph. y = 6x2, y = −4.5x2, y = −x2

Answers

To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form: 
 [tex] y=ax^{2}+bx+c [/tex]
 Where [tex]a [/tex] is the leading coefficient.
 If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.
 Therefore, by knowing the information above, you have that the answer is:
 [tex]y=- x^{2} \\ y=-4.5 x^{2} \\ y=6 x^{2} [/tex]

y = 6x2, y = −4.5x2, y = −x2


This should be correct answer:) He got it mixed up in his answer below when graphing.:)

Find two numbers that multiply to make the first number and add to make the second number. (I understand how to do it, I’m just having some issues. It’s not registering.)

Answers

Let
x-----------> the first number 
y-----------> the second number

we know that
x*y=x-----------> y=x/x----------> y=1
and x+y=y------> x=y-y---------> x=0

 the answer is
 the first number  is 0
 the second  number is 1

The student's question pertains to solving a system of equations to find two numbers that multiply to a given product and add to a given sum. The solution involves testing pairs of factors of the product until the pair that also sums to the required number is found, for example, finding that 3 and 8 multiply to 24 and add to 11.

The student is looking to solve a classic problem in algebra: finding two numbers that, when multiplied together, result in a given number (the product), and when added together, sum to another given number (the sum). This is often related to factoring a quadratic equation or finding the roots of a polynomial. The solution involves setting up a system of equations based on the given conditions and solving for the two unknown numbers. This process typically requires identifying the correct pair of numbers that satisfy both the multiplication and addition conditions. Let's take an example:

Suppose we need to find two numbers that multiply to make 24 and add to make 11. We can denote these numbers as x and y, leading to the following equations:

x . y = 24 (multiplication condition)x + y = 11 (addition condition)

By systematically testing pairs of factors of 24 (e.g., 1 and 24, 2 and 12, 3 and 8, 4 and 6), we find that 3 and 8 satisfy both conditions, because 3 . 8 = 24 and 3 + 8 = 11. Therefore, the two numbers are 3 and 8.

A water tank has the shape of an inverted right circular cone of altitude 12 ft and base radius 6 ft. if water is being pumped into the tank at a rate of 10 gal/min, approximate the rate at which the water level is rising when it is 3 ft deep

Answers

The radius of the water surface at that point is (3 ft)/(12 ft)*(6 ft) = 1.5 ft, so the surface area is
.. π(1.5 ft)^2 = 2.25π ft^2

The rate of rise is then
.. (10 gal/min)*(77/576 ft^3/gal)/(2.25π ft^2) ≈ 0.18911 ft/min

_____
The rate of change of depth is equal to the rate of change of volume divided by the surface area. Here's how you can get there from derivatives.

V = (1/3)Bh
V' = (1/3)(B'h +Bh')
Here we have B = π(h/2)^2 = (π/4)h^2, so B' = (π/2)h*h'
V' = (1/3)((π/2)*h^2*h' +(π/4)h^2*h')
V' = (π/4)h^2*h'
V' = B*h'

Figure ABCD is rotated 90°counterclockwise about the origin. Which of the following gives the correct measure of an image of one of its sides?

B'C' = √17
C'D' = √10
D'D' = 5
A'B' = √17

Answers

the length  of a side is: A'B' = sqrt (17)


Which net matches the figure?

Answers

The first net because the figure shown is a square pyramid
The top choice to the left, is your answer. I hope this helps!

I have another Brainliest

Answers

Answer: “A” Opportunity cost is “the value of an investment opportunity you pass up in order to take another investment opportunity .” It’s pretty much the sacrifice you make to do something else.
Ex. To earn volunteer hours, Billy decided not to go to Bob’s birthday party.

Suppose you are given the graph of y = f (x) . Explain how to obtain the graphs of
a. y = f (x / 2)
b. y = f (x - 2)
c. y = f (2 x - 1)

Answers

Suggest you make yourself a list of transformations and their associated rules. The ones you're concerned with here are
.. f(x) ⇒ f(kx) . . . . . . horizontal compression by a factor of k
.. f(x) ⇒ f(x -k) . . . . . right shift by k units

a) Each point (x, y) gets moved to (2x, y). The graph is expanded horizontally by a factor of 2.

b) Each point (x, y) gets moved to (x+2, y). The graph is translated horizontally 2 units to the right.

c) Each point (x, y) gets moved to ((x +1)/2, y). The graph is translated horizontally 1 unit to the right, then compressed horizontally by a factor of 2.

Ken is adding a ribbon border to the edge of his kite.Two aides of the kite measure 9.5 inches,while the other two sides measure 17.8.How much ribbon does Ken need?

Answers

54.6 inches
9.5 times 2 is 19
17.8 times 2 is 35.6
19 plus 35.6 is 54.6 inches

There are 54.6 inches ribbon does Ken need.

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Ken is adding a ribbon border to the edge of his kite.

Here, Two aides of the kite measure 9.5 inches, while the other two sides measure 17.8.

Hence, Total length of ribbon is,

⇒ 2 × 9.5 + 2  × 17.8

⇒ 19 + 35.6

⇒ 54.6 inches

Thus, There are 54.6 inches ribbon does Ken need.

Learn more about the addition visit:

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The area of a rectangular swimming pool is
10x2 – 19x – 15. The length of the pool is 5x + 3.
What is the width of the pool?

Answers

width 2x-5 hope this helped

Will give BRAINLIEST!! I REALLY NEED HELP..What is -1/2(-3y+10) as a equivalent expression? pls help me

Answers

Any expression has many equivalents. For something like this, it is often convenient just to make use of the distributive property.

= (-1/2)*(-3y) +(-1/2)*(10)
= (3/2)y -5

Another equivalent has a common denominator
= (3y -10)/2
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