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2 years ago

Tyler family builds a new pen on their dairy goat farms

Mathematics

1 answer:

Kamila [148]2 years ago

7 0

Answer:

7ft

Step-by-step explanation:

its not 7, im jus guessing:)

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A lamp shade has a radius of 9 inches. What is the circumference of the top of the shade? Use 3.14 to approximate pi. Round your

horsena [70]

Circumference is diameter times pi, diameter is radius times 2. The answer should be 57 inches.

7 0

3 years ago

Read 2 more answers

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

2 years ago

HELP SOLVE THANK YOU!

Lera25 [3.4K]

Answer:

Solution 1: 1+1 $\sqrt{3}$

Solution 2: 1- $1\sqrt{3}$

Step-by-step explanation:

x^2-2=2x

x^2-2x-2=0

Use quadratic equation.

(-b+- $\sqrt{b^2-4ac}$ )/2a

(2+- $\sqrt{(-2)^2-4*1*-2}$ )/2

(2+- $\sqrt{(4+8})$ )/2

(2+- $\sqrt{12}$ )/2

Solution 1: (2+2 $\sqrt{3}$ )/2=1+1 $\sqrt{3}$

Solution 2: 1- $1\sqrt{3}$

4 0

1 year ago

Read 2 more answers

A data set is summarized in the frequency table below. Using the table, determine the number of values less than or equal to 6.

Nata [24]

Answer:

Step-by-step explanation:

Given the above table of the data set, the number of values less than or equal to 6 would be the sum of the frequencies of all values that is equal to or less than 6.

From the table above, we would add up the frequencies of the values of 6 and below, which is:

2 + 3 + 6 + 4 + 3 = 18

Answer = 18

8 0

2 years ago

Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes

Alenkasestr [34]

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.

6 0

2 years ago