There is a brick patio around a fire pit, as shown. Use 3.14 for pi.
What is the area of the fire pit?

Answer:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex], [tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Step-by-step explanation:

Use the quadratic formula to solve for all real solutions.

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Plug in and solve:

[tex]x=\frac{-17\pm\sqrt{17^2-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-4(3)(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-12(16)}}{2(3)}\\\\x=\frac{-17\pm\sqrt{289-192}}{2(3)}\\\\x=\frac{-17\pm\sqrt{97}}{6}\\[/tex]

Since that's the farthest we can simplify to, your answers would be the positive and negative versions of the expression:

[tex]x=\frac{-17+\sqrt{97}}{6}[/tex]

and

[tex]x=\frac{-17-\sqrt{97}}{6}[/tex]

Answer: It's given in the equations.

Step-by-step explanation:

First One

f(x) = -2^x

Second

f(x) = -4(2)^x

Third

f(x) = 4(2)^x

Fourth

f(x) = 2^x

Answer:

Step-by-step explanation:

270 div

Answer:

0.5

Step-by-step explanation:

1/2 + 0.5 = 1

Answer:

1

Step-by-step explanation:

8 + 1 = 9/9

-      -      

9.      9

Answer:

5576

Step-by-step explanation:

Hope you have a good day, Loves!

Also if I'm right can you let me know please?

Also Also if I am right can I have Brainliest??

Answer:

[tex]area = 21[/tex]

Step-by-step explanation:

Area of trapezoid formula:

[tex]area = \frac{a + b}{2} h[/tex]

Given information:

a: 6

b: 8

h: 3

Using the given information,

[tex]area = \frac{6 + 8}{2} 3[/tex]

Add the numbers in the numerator

[tex]area = \frac{14}{2} 3[/tex]

Reduce fraction with 2

[tex]area = 7 \times 3[/tex]

Answer:

[tex]area = 21[/tex]

Given the position function

s(t) = 3 - cos(t )

differentiate once to get the velocity, and twice to get the acceleration:

v(t) = s'(t) = sin(t )   →   v (4.3 s) ≈ -0.92

a(t) = s''(t) = v'(t) = cos(t )   →   a (4.3 s) ≈ -0.40

The acceleration is negative, so the particle is slowing down.

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

12 cookies for both friends (assuming you don't get any)

Step-by-step explanation:

24/2=12

since you seem like a kid, that slash means divided by

Answer:

a) x = -6

Step-by-step explanation:

5x - 14 = 8x + 4

-14 = 3x + 4

-18 = 3x

x = -6

Answer:

A) 5 (-6) - 14 = 8 (-6) + 4

- 30 - 14 = - 48 + 4

- 44 = - 44

Step-by-step explanation:

La respuesta correcta es la A, ya que x = - 6

Answer:75%

Step-by-step explanation:

To make a fraction into a percent you have to multiply it by 100

So: 15/20 x 100=15x5=75 so he got 75% of his problems right

Answer:

the 18th term is 71

Step-by-step explanation:

The general form for any term "n" in an arithmetic sequence is:

a(n) = a1 + (n-1) * d

where "d" is the common difference.

So, in our case we have:

a(n) = 3 + (n-1) *4

Therefore, the 18th term will be:

a(18) = 3 + (18 - 1) 4 = 3 + 17 * 4 = 71

Answer:

15

Step-by-step explanation:

50 x .3

Answer:15

Step-by-step explanation:

Answer:

The price changed by 92.5 %

Step-by-step explanation:

The regular price of lawn mover = 200 dollars

The new selling price = 85 dollars

Change in selling price = 200 -85 dollars = 115 dollars

% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]

The price changed by 92.5 %

Answer:39/50

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

696 steps

Step-by-step explanation:

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

1,-2  | -2,7 ????

Step-by-step explanation:

Answer: R = √(3*r^2)

Step-by-step explanation:

For a cylinder with radius r and height H, the volume is:

V = pi*r^2*H

For a cone of height H, and with a base of radius R, the volume is:

V = (1/3)*pi*R^2*H

In this case, we know that both figures have the same height, and the same volume, then we can write:

pi*r^2*H = (1/3)*pi*R^2*H

Now we can divide by pi in both sides to get:

(pi*r^2*H)/pi = ((1/3)*pi*R^2*H)/pi

r^2*H = (1/3)*R^2*H

Now we can divide both sides by H:

(r^2*H)/H = ((1/3)*R^2*H)/H

r^2 = (1/3)*R^2

Now we want to write R in terms of r.

Then we need to isolate R in the above equation:

r^2 = (1/3)*R^2

3*r^2 = R^2

√(3*r^2) = R

R = √(3*r^2)

Answer:

4

Step-by-step explanation:

combine like terms 15r-6r=9

9=36

divide both sides by 9

=4

Answer:

24 CDs

Step-by-step explanation:

if he dropped half of his CDs then the other half is in the equation. 12×12=24 the 6 is just there to throw you off...

if I get it wrong my bad its 2 am

Answer:

Jason starts with 18 CDs

Step-by-step explanation:

12 x 2 = 24

24 - 6 = 18

Answer:

6:3

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

It does not say what the tax is so the answer would be 12. You just divide 2 by 24.

Answer:

12

Step-by-step explanation:

24 divided by 2 is 12 or 2 times 12 is 24

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