Find the radian measure of the central angle.

Answer:

30.5 meters

10.5 meters

Step-by-step explanation:

x = length

y = width

x = y + 20

2x + 2y = 82 (the perimeter of a rectangle)

using the first equation as substitute in the second equation we get

2×(y + 20) + 2y = 82

2y + 40 + 2y = 82

4y = 42

y = 42/4 = 21/2 = 10.5 meters

x = y + 20 = 21/2 + 20 = 21/2 + 40/2 = 61/2 = 30.5 meters

9514 1404 393

Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

Step-by-step explanation:

1 & 2 are on the attachment

3 --------------

4)4x+5=17

 5x+5=20

5)2x+15+85+x+20=180

   3x+120              =180-120

                        3x=60

                          x=20 degrees

6)son's age=x

  3x+x=48

   4x=48

    x=12            

Therefore; son's age=12 years old

                  Mr.Robert age=12*3

                                           =36 years old

Hope this helps you

If you have any question just ask me

If you think this is the best answer please mark me as brainiest

Answer:

c no is correct pls mark me branilest

Answer:

(x, y) = (y, x). Exercise 1.3.4. Let X,Y,Z and W be nonempty sets. Then, prove the following statements

Answer:

ffffgggghhhuukufgnjsdhn

Answer:

∞

Step-by-step explanation:

since cos(0) = 1, you have 1/0

Answer:

6u

Step-by-step explanation:

it is the algebraic answer.

hope this helps!

Answer:

the answer is 6×u

Step-by-step explanation:

by and multiply are multiplication

Equations are used to show the relationship between variables (usually x and y). The true statement about f(x) is that the range of f(x) is [tex]y \ge -8[/tex]

Given that:

[tex]f(x) = 2(x - 2)^2 - 8[/tex]

To identify the true statement, I will make use of graphical method.

See attachment for the graph of [tex]f(x) = 2(x - 2)^2 - 8[/tex]

From the attached graph, we can see that the graph as a minimum at:

[tex](x,y) = (2,-8)[/tex]

And it opens upward.

This implies that the minimum y-value of f(x) is at -8, and it has no maximum.

In other words, the range of the function is:

[tex]f(x) \ge -8[/tex]

Hence, the true statement is option (a):

The range of f(x) is [tex]y \ge -8[/tex]

Read more about equations at:

https://brainly.com/question/17995541

Answer:

an emergency fund allows you to live for a few months if you lose your job or if something unexpected comes up that costs a fair chunk of money to cover

Answer:

If there ever was an emergency you will need money to pay/afford the injury

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 0.86

Step-by-step explanation:

a+1 = 3

(a - 1)^2

[tex] {a}^{2} - 2.a.b + {b}^{2} \\ \\ a - 2a + 1 \\ \\ 1 + 1 = 2[/tex]

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

Answer:

100002

Step-by-step explanation:

bi the react

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

20 + 8

4(5 + 2)

100 + 75

25(4 + 3)

49 + 28

7(7 + 4)

32 + 24

8(4 + 3)

Answer:

Ans; 8 +20 —> 4(2+5)

Ans; 75+100 —> 25(4+3)

Ans; 28+49 —> 7(4+7)

Ans; 24+32 —> 8(3+4)

I hope I helped you^_^

Answer:

4 foot ribbon

Step-by-step explanation:

Answer:

544

Step-by-step explanation:

$7.68 x 540 = 4,147.2

Answer:

Step-by-step explanation:

Answer:

It represents the total amount that Erin is going to spend at the store.

Step-by-step explanation:

Answer:

Step-by-step explanation:

it apperes to me that all are rational numbers

Hope this helps

Answer:

The 1st one for the first pic and I'm not sure but c for the 2nd one

Answer:

a and c

Step-by-step explanation:

Answer:

W = 1.06 MJ

Step-by-step explanation:

- We will use differential calculus to solve this problem.

- Make a differential volume of water in the tank with thickness dx. We see as we traverse up or down the differential volume of water the side length is always constant, hence, its always 8.

- As for the width of the part w we see that it varies as we move up and down the differential element. We will draw a rectangle whose base axis is x and vertical axis is y. we will find the equation of the slant line that comes out to be y = 0.5*x. And the width spans towards both of the sides its going to be 2*y = x.

Time = distance / speed

Time = 304 miles / 40 mph

Time = 7.6 hours ( 7 hours and 36 minutes)

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

19e

Step-by-step explanation:

Answer:

1st box: 1

2nd box: 1

Step-by-step explanation:

1: 3 * 7 = 21, so only put the 1 and carry the 2.

2: 5 * 6 = 30, but we have a 1 from the previous answer given so 31, but only put the 1.

I hope this helps :)

The GCF of 10 and 6 is 2. May this will help you.

Step-by-step explanation:

4×2= 9x

8/9=x

Transposition

Answer:

x = 8/9

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Step-by-step explanation:

Q9 . y = x + 5

x= y-5

× the input

y the output

x= -3

Q10.

y = 2x -3

y+3 = 2x

x = (y+3) ÷ 2

× = 5/2

= 2.5

Q11.

y = 1/4x - 1

y+1 = 1/4 x

4y+4 = x

x = 12

Q 12 .

y = 2/3x + 4

y-4 = 2/3x

3(y-4) = 2x

x = 3(y-4)/2

x = -3

Answer:

[tex] \boxed{x = 7} [/tex]

Step-by-step explanation:

Given:

We can illustrate this relationship as:

(2x + 1)

___↑___

| |

A — B — C

|____|___|

↓ ↓

(x + 4) (2x – 10)

_______________________________

When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.

Thus:

(x + 4) + (2x – 10) = (2x + 1)

[Regroup terms]

(x + 2x) + (4 – 10) = (2x + 1)

[Simplify]

(3x – 6) = (2x + 1)

[subtract 2x from both sides to isolate the variable]

(3x – 6) – 2x = (2x + 1) – 2x

[Regroup terms]

(3x – 2x) – 6 = (2x – 2x) + 1

x – 6 = 1

[Add 6 to both sides to isolate the constant]

x – 6 + 6 = 1 + 6

[Simplify]

x = 7

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8