A rectangular playing field is 70 yards long. Its area is 3,150 yards what is the width of the feild

Given:

A dilation with scale factor 2 maps triangle RST to triangle R'S'T'.

The perimeter of triangle RST is 60 units.

To find:

The perimeter of triangle R'S'T'.

Solution:

We know that the dilated figure is similar to the given figure.

The scale factor is 2. It means the side length of the dilated figure is twice then the original figure. So, the ratio of side of original figure to side of dilated figure is 1:2.

Let the  perimeter of triangle R'S'T' be x.

The ratio of perimeters of similar figure is equal to the ratio of the corresponding sides of similar figures.

[tex]\dfrac{\text{Perimeter of }RST}{\text{Perimeter of }R'S'T'}=\dfrac{1}{2}[/tex]

[tex]\dfrac{60}{x}=\dfrac{1}{2}[/tex]

[tex]60\times 2=1\times x[/tex]

[tex]120=x[/tex]

Therefore, the perimeter of triangle R'S'T' is 120.

Answer:

See explanation

Step-by-step explanation:

The question is incomplete as the invested amount and the interest rate are not given. However, I will give a general method of solving it.

Assume that:

[tex]r = 5\%[/tex] --- interest rate

[tex]PV =9000[/tex] --- Present value or invested amount

To calculate time (in years), we make use of the following formula of future value

[tex]FV = PV(1 + r)^n[/tex]

Where

[tex]FV = 11800[/tex]

So:

[tex]11800 = 9000( 1 + 5\%)^n[/tex]

Divide both sides by 9000

[tex]1.31 = ( 1 + 5\%)^n[/tex]

Take logarithm of both sides

[tex]Log(1.31) = Log(1 + 5\%)^n[/tex]

Apply law of logarithm

[tex]Log(1.31) = nLog(1 + 5\%)[/tex]

Make n the subject

[tex]n = \frac{Log(1.31)}{Log(1 + 5\%)}[/tex]

Express 5% as decimal

[tex]n = \frac{Log(1.31)}{Log(1 + 0.05)}[/tex]

[tex]n = \frac{Log(1.31)}{Log(1.05)}[/tex]

[tex]n = \frac{0.1173}{0.0212}[/tex]

[tex]n \approx 6[/tex]

The time to reach the future value is approximately 6 years.

Use the above explanation to answer your question

Given:

The equation of a line is

[tex]y=-4x+10[/tex]

A perpendicular line on the given line passes through the point (4,-6).

To find:

The equation of the perpendicular line.

Solution:

We have,

[tex]y=-4x+10[/tex]

On comparing this equation with slope intercept form [tex]y=mx+b[/tex], we get

[tex]m=-4[/tex]

So, the slope of the given line is -4.

We know that the product of slopes of two perpendicular lines is always -1.

[tex]m\times m_1=-1[/tex]

[tex](-4)\times m_1=-1[/tex]

[tex]m_1=\dfrac{-1}{-4}[/tex]

[tex]m_1=\dfrac{1}{4}[/tex]

The slope of the required line is [tex]\dfrac{1}{4}[/tex] and it passes through the point (4,-6). So, the equation of the line is

[tex]y-y_1=m_1(x-x_1)[/tex]

[tex]y-(-6)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+6=\dfrac{1}{4}x-1[/tex]

[tex]y=\dfrac{1}{4}x-1-6[/tex]

[tex]y=\dfrac{1}{4}x-7[/tex]

Therefore, the correct option is B.

Answer:

d) 3 1/2 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length

5 × 7/10 = 35/10 and we can simplify it as 3 1/2 in^2

Answer: 10 × 8 × 14 = 1120 it think 1120 is the answer cause the solution is length × width × height

Hope this helps :)

And plz mark me brainiest!

Answer:

V(x)=x^2+9x^2-16x-144

Step-by-step explanation:

Here the height of the figure is 14 yd.  The base appears to be an isosceles triangle.  The volume is the height times the base area:

V = (14 yd)(1/2)(16 yd)(10 yd), or

V(x)=x^2+9x^2-16x-144

Answer:

just round them at the end

Step-by-step explanation:

Arizona: 7,278,717

New York 8.419 milion

Answer:

value of sin A is 40/41

answer is A

Step-by-step explanation:

Answer:

A.less than 6 but more than 20

Answer:

50.24

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Area of a Circle:

A = πr²

Work:

A = πr²

A = 3.14(4²)

A = 3.14(16)

A = 50.24

The approximate area of the circle is 50.24 square feet.

Given is a circle with diameter of 8 ft we need to find the approximate area of the circle.

To find the approximate area of a circle, you can use the formula:

Area = π × (radius)²

Given that the diameter of the circle is 8 ft, we can find the radius by dividing the diameter by 2:

Radius = Diameter / 2 = 8 ft / 2 = 4 ft

Now we can calculate the approximate area:

Area ≈ 3.14 × (4 ft)²

= 3.14 × 16 ft²

≈ 50.24 ft²

Therefore, the approximate area of the circle is 50.24 square feet.

Learn more about Area of circles click;

https://brainly.com/question/28642423

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Answer:

2ft

Step-by-step explanation:

2ft is small than the other options.

Answer:

The multiplicative inverse of 7 is 1/7

Step-by-step explanation:

Here, we want to get the multiplicative inverse of a number

Mathematically, the multiplicative inverse of a number is a number which when multiplied by the number gives 1

The product of 7 and its multiplicative inverse thus gives 1

So, what we have to do here is to divide 1/7

This here above, is the value of the multiplicative inverse of 7

yessss

lets

play

rn!!!!!!

Answer:

13/48, 7/24, and 15/48

Step-by-step explanation:

When we have two numbers A and B  (such that A < B), the mean between these numbers is:

mean = (A + B)/2

And we will always have that:

A < mean < B

In this case, we have the numbers 1/4 and 1/3

The mean between these numbers is:

M = (1/4 + 1/3)/2 = (3/12 + 4/12)/2 = (7/12)/2 = 7/24

we know that 7/24 is an integer that is between the numbers  1/4 and 1/3

Now we can take the mean between 1/4 and 7/24

M = (1/4 + 7/24)/2

   = (6/24 + 7/24)/2 = (13/24)/2 = 13/48

And we have:

1/4 < 13/48 < 7/24

Now we can find the mean between  7/24 and 1/3:

M = ( 7/24 + 1/3)/2 = (7/24 + 8/24)/2 = (15/24)/2 = 15/48

then:

7/24 < 15/48 < 1/3

Then we can write:

1/4 < 13/48 < 7/24 < 15/48 < 1/3

Then the 3 rational numbers between 1/4 and 1/3 are:

13/48, 7/24, and 15/48

Answer:

the answer is 2.05×10^-4

Answer:

4519.5

Step-by-step explanation:

so sorry if that's not correct.

Answer: [tex]282.85\ cm^2[/tex]

Step-by-step explanation:

Given

Radius of cylinder [tex]r=5\ cm[/tex]

The height of the cylinder is [tex]h=9\ cm[/tex]

The surface area of a cylinder is [tex]2\pi rh[/tex]

If only the outer is considered then, the area required is

[tex]\Rightarrow A=2\times \dfrac{22}{7}\times 5\times 9\\\\\Rightarrow A=282.85\ cm^2[/tex]

Answer:

4

Step-by-step explanation:

Answer:

your range is -9 to positive 5

Step-by-step explanation:

range is how many numbers are in a squence for example i have 1 2 3 so my range is 1-3

Answer:

[tex]\frac{25y}{4x}[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did you go with me to my car to see what i is going on with my car i and brown is there anyway i is going out and i is there a few things to go out and get some money from there so we could get it done and green or something for you guys and brown is ok and zjoke

Answer:

1.) y= [tex]\frac{1}{6} x[/tex] + [tex]\frac{13}{6}[/tex]

2.) y = [tex]\frac{4}{5} x[/tex] - 3

3.) y = 3x - 2

4.) y = [tex]\frac{13}{7} x[/tex] - 8

5.) y = [tex]\frac{1}{4} x[/tex] + 4

6.) y = 9x - 1

7.) y = -[tex]\frac{1}{2} x[/tex] - 4

8.) y = -[tex]\frac{10}{3} x[/tex] + 2

9.) y = [tex]\frac{7}{8}x[/tex] - 1

10.) y = -5

Answer:

[tex]y = 2x + 2[/tex]

Step-by-step explanation:

Given

[tex]m = 2[/tex]

[tex]b = 2[/tex]

Required

Write equation in slope intercept form

An equation in slope intercept form is:

[tex]y = mx + b[/tex]

Substitute values for m and b

[tex]y = 2x + 2[/tex]

Answer:

37.5

Step-by-step explanation:

37.5 · 0.72 = 27

Answer:

37.5

Step-by-step explanation:

72%=0.72

0.72x=27

x=27/0.72

x=37.5

Answer:

209.3

Step-by-step explanation:

V=πr^2h / 3

 = 3.14 x 25 x 8 /3

  = 209.3

Answer:

16

Step-by-step explanation:

3+3+3+3+4=16

Answer:

-0.25

Step-by-step explanation:

Answer: 34

Step-by-step explanation:

Answer:

A. the answer is supplementary

Answer:

60+60+60= 180

Step-by-step explanation:

all the angles in a triangle should add up to 180