The county park wants to install a circular fence around the sandpit. How much fencing will they need if the diameter of the sandpit is 10 ft?

Answer:

35

Step-by-step explanation:

We can assume the longer side is the hypotenuse because it is significantly longer than the other side.

From there, we can do Pythagoreans Theorem.

a^2+b^2=c^2

where can is the hypotenuse.

(12.75)^2+ b^2 = (37.25)^3

162.5625 + b^2 = 1,387.5625

-162.5625 -162.5625

b^2= 1,225

square root both sides.

b= 35

Answer:

10 guests

Step-by-step explanation:

Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.

Let us represent additional guests = g

Lazer Zone charges $50 for parties, and an additional $10 per guest.

=$50 + $10 × g

50 + 10g

For fun place

Fun Palace charges $90 for parties, and an additional $6 per guest.

= $90 + $6 × g

90 + 6g

For how many ?

We equate both Equations together

= 50 + 10g = 90 + 6g

Collect like terms

10g - 6g = 90 - 50

4g = 40

g = 40/4

g = 10

Hence, g = 10 guests

Therefore, the number of guests for which the cost of both companies is the same is 10 guests

Answer:

The chance of getting a pair of black socks is 73.33%

Answer:

A

Step-by-step explanation:

First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9

Answer:

ITS C IT IS C!!!!!!!

Answer:

its A

Step-by-step explanation:

it is a because its -9 down and 7 to the right

Step-by-step explanation:

[tex] \frac{9.2 \times {10}^{ - 8} }{2.3 \times {10}^{3} } \\ = 4.0 \times {10}^{ - 11} [/tex]

Answer:

8.236%

Step-by-step explanation:

P(G,G,G) = 8/17 x 7/16 x 6/15

= 7/85 (simplified)

7/85, in decimal form, is .082352

.082352 in percent form is 8.236%

Answer:

4,112 yards

Step-by-step explanation:

because I said so

Answer:

Option D.

Its a Polynomial or Binomial of index 2

Answer:

A

Step-by-step explanation:

We cannot take the square root of a negative number without using complex numbers. Because of this, both 5x and x+3 must be non-negative in order for the product to be defined.

Both of these are satisfied if and only if x ≥ 0 (note that if x ≥ 0, then x is automatically greater than or equal to -3). Therefore, the correct answer is x ≥ 0.

Answer:

i hope 67° is the answer .

Step-by-step explanation:

b = 4`² = 1/16 = 0.0625

c = 4`⁴ = 1/256 = 0.00390625

d = (⅔)° = 1

e = (⅔)² = 4/9 = 0.4444...

f = (⅔)⁴ = 16/81 = 0.197530864

Answer:

36

Step-by-step explanation:

6 x 6= 36

Answer:

Third zero is 4

Step-by-step explanation:

The polynomial is;

f(x) = x³ − 4x² − 3x + 12

We are given 2 zeros which are √3 and -√3.

This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.

Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.

I have attached this long division method and we have the third factor as; (x - 4)

Equating to zero, we have x = 4 as the third zero of the polynomial

Answer:

The total number of child ticket sold  = 87

The total number of adult ticket sold = 128

Step-by-step explanation:

Given -  The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.

To find - Use an inverse matrix to determine the number of each type of ticket sold .

Proof -

Let the total number of child ticket sold = x

Let the total number of adult ticket sold = y

Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.

⇒x + y = 215

Also,

Given that,  Tickets cost $11 child and $15 per adult, bringing in a total of $2877

⇒11x + 15y = 2877

So,

The equations becomes

x + y = 215

11x + 15y = 2877

So,

The matrix form becomes

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]

By comparing, we get

x = 87

y = 128

So, we get

The total number of child ticket sold = x = 87

The total number of adult ticket sold = y = 128

Answer:

They will both have a height of 16 inches in 4 days.

Step-by-step explanation:

Hope this helps :D

Answer:

24-6-9-2-3+2+2-3 = 5

Step-by-step explanation:

I hope this helps!

Answer:

If we were to use 3.14 as pi . . .

43.96/3.14 = 14

14/2 = 7

7 x 7 = 49

49 x 3.14 = 153.86

153.86 would be the correct answer

But if we were to use pi. . .

615.1279985 would be the answer.

Answer:154 rounded to whole number

Step-by-step explanation:

C=pi ×d

43.96 = 3.14 ×d

d= 43.96÷3.14

d= 14

So radius is 7 (half of diameter)

Area=3.14×7×7

=153.86

Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one

Step-by-step explanation:

Answer:

[tex]a + c = 180 - 65 = 115[/tex]

Answer:

Both are equal

Step-by-step explanation:

please mark me brainliest

Answer:1/7

Step-by-step explanation:

Answer:

B) 24

Step-by-step explanation:

The area of the rectangle is 48 units (8 x 6).

The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.

b = base

h = height

A = [tex]\frac{1}{2}[/tex](6)(8)

A = 24

Answer:

[tex]24[/tex]

Step-by-step explanation:

If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.

Answer:D

Step-by-step explanation:

I'm prolly wrong so sorry

Answer:

I think it's 'D'

hopefully it's correct!

Answer:

D

Step-by-step explanation:

Since x is years of experience and y is salary, every time x increases by 1, the salary will increase by $2035.6

Answer:

option 4

Step-by-step explanation:

Answer:

46°

Step-by-step explanation:

tan Ф = 21/20

Ф = tan-1 (21/20)

= 46°

Answer:

x + y = 680

5x + 7y = 3914

Step-by-step explanation:

Let the amount of students who purchased tickets equal x.

Let the amount of adults who purchased tickets equal y.

If you add the amount of adults and students, you get the total amount of people:

x + y = 680

Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:

5x + 7y = 3914

These are the two equations:

x + y = 680

5x + 7y = 3914