5-[ 17-(-2+5)-(-7+15)]-(4-11)

Answer:

a = 6.8

Step-by-step explanation:

Apply the Law of Cosines

a² = b² + c² - 2bc*Cos A

A = 29°

b = 4

c = 10

Plug in the values

a² = 4² + 10² - 2*4*10*Cos 29

a² = 116 - 69.9696

a² = 46.0304

a = √46.0304

a ≈ 6.8

Answer: length = 8cm

Width = 4cm

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice as long as the width of the rectangle, then the length will be: = 2 × x = 2x

Note that, Area of a rectangle = Length × Width

Therefore,

2x × x = 32

2x² = 32

Divide both side by 2

2x²/2 = 32/2

x² = 16

x = ✓16

x = 4

Therefore, width = 4cm

Since length = 2x

Length = 2 × 4cm = 8cm

Check: length × width = Area

8cm × 4cm = 32cm²

Answer:

[tex]z=-317[/tex]

Step-by-step explanation:

1) Simplify 45 × 28  to  1260.

[tex]1260=19*83+z[/tex]

2)  Simplify  19 × 83  to  1577.

[tex]1260=1577+z[/tex]

3) Subtract 1577 from both sides.

[tex]1260-1577=z[/tex]

4) Simplify  1260 - 1577  to −317.

[tex]-317=z[/tex]

5) Switch sides.

[tex]z=-317[/tex]

Therefor, the answer is z = -317.

Answer:

y^-1 = x - 6

Step-by-step explanation:

change f(x) to 'y'

switch 'x' and 'y'

solve for 'y'

Answer:

Step-by-step explanation:

y = x + 6

x = y + 6

y + 6 = x

y = x - 6

f^-1(x) = x - 6

Answer: 16.666%

Step-by-step explanation:

Answer:

vertically opposite angles and alternate pair

so by aa similarity they are similar

Answer:

y = x - 2

Step-by-step explanation:

y = mx + b

5 = 1 (7) + b

5 = 7 + b

b = -2

So...

y = x - 2

Answer:

The Answer is 1331

Step-by-step explanation:

11*11*11

Answer:

72

Step-by-step explanation:

You line them up from biggest to smallest and then cross off a number from both sides equally and then get your median;

46,58,72,85,93​

58,72,85  (cross off 46 and 93)

72 (Cross off 58 and 85)

And then you get your answer 72

I hope this helps!!!!!

5a+6

hope it's helpful ❤❤❤❤

THANK YOU

Answer:

3^4

Step-by-step explanation:

X = 4 or C

because, 3 x 3 x 3 x 3 = 81

Answer:

[tex] \boxed{ \tt{b.}}[/tex]

Step-by-step explanation:

[tex] {2x}^{4} + {2x}^{3} - {x}^{2} - x \\ x({2x}^{3} + {2x}^{2} - x - 1) \\ x({2x}^{2} (x + 1) - 1(x + 1)) \\ {2x}^{3} (x + 1) - x(x + 1) \\ ({2x}^{3} - x)(x + 1)\\ x({2x}^{2} - 1)(x + 1)[/tex]

Answer:

P = 0.637

Step-by-step explanation:

By a small online search, i've found that the image is a circle of radius R = 1in, and a square inside of the circle, such that the distance between the center of the square and the one vertex of the square is one inch.

To solve this problem, we need to find the area of each figure.

The area of a circle of radius R is:

A = 3.14*R^2

Then the area of our circle is:

A = 3.14*(1in)^2 = 3.14 in^2

Now for the square.

If the distance between the center and one vertex is 1 inch, then the distance between two opposite vertex is twice that: 2 inches.

Now we can think of a triangle rectangle, where both catheti are equal to L, the side length of the square, and the hypotenuse is 2 inches.

Using the Pythagoreans theorem, we get:

L^2 + L^2 = (2in)^2

2*L^2 = (2in)^2

L^2 = (2in)^2/2 = 2 in^2

L = √(2 in^2) = √2 in

And the area of a square of side length L, the area is:

A = L^2

Then the area of our square is:

A = (√2 in) = 2 in^2

Then:

Area of the circle = 3.14 in^2

Area of the square = 2 in^2

The area of the circle represents the 100% (if a point is chosen at random in the circle, the probability that the point will be inside the circle is P = 1)

The probability that the point will be inside the square is equal to the quotient between the area of the square and the area of the circle, this is:

P = (2 in^2)/(3.14 in^2) = 0.637

Answer:

(x+7) times (x+3)

Step-by-step explanation:

Because a area of a rectangle is lw and you combine x and 3 to make x+3 and 7 and x to make x+7 and you multiply them together.

The area of the rectangle will be (x² + 10x + 21) unit².

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The Length of the rectangle = x + 7

And, The width of the rectangle = x + 3

Now,

Since, The Length of the rectangle = x + 7

And, The width of the rectangle = x + 3

We know that;

The area of rectangle = Length × Width

                                  = (x + 7) × (x + 3)

                                  = x² + 3x + 7x + 21

                                  = x² + 10x + 21

Thus, The area of rectangle = (x² + 10x + 21) unit²

Learn more about the rectangle visit:

brainly.com/question/9585915

#SPJ2

Answer:

105

Step-by-step explanation:

15÷1/7 = 15/1 x 7/1 = 105

Answer:

vector

Step-by-step explanation:

a p e x

Answer:

x = 8

Step-by-step explanation:

4(8) + 6(5) = 62

32 + 30 = 62

62 = 62

Answer:

x = 8

Step-by-step explanation:

y = 5 and 4x + 6y = 62

4x + 30 = 62

Subtract 30 from each side:

4x + 30 - 30 = 62 - 30

4x = 32

Divide each side by 4:

4x ÷ 4 = 32 ÷ 4

x = 8

Answer:

[tex] - 13[/tex]

Step-by-step explanation:

1) Simplify 8 - 12 to -4.

[tex] - 5 + 2 \times - 4[/tex]

2) Simplify 2 × -4 to -8.

[tex] - 5 - 8[/tex]

3) Simplify.

[tex] - 13[/tex]

Therefor, the answer is -13.

Answer:

- 13

Step-by-step explanation:

Hope this will help

Question 1:

Multiply the regular price by the number of people (x)

Y = 25x

Question 2:

Multiply the special rate by number of people(x) and add the cost of the room:

Y = 15x + 150

Question 3:

Replace x with a positive value and solve for y, which will be larger than the x value

Answer (15,375)

Question 4:

This means for 15 people the total cost for the special rate would be $375

Answer:

12

Step-by-step explanation:

because 17-5=12 so the answer is 12

Answer: C. Frank

Step-by-step explanation:

Frank sold 25 cars which is the highest amount.

Answer:

$12566.25

Step-by-step explanation:

because .25 is 1/4 of $1 all you have to do is divide 50,265 by 4 and that's your answer

you could also just multiply .25 by 50,265 to make it simpler and it'll come with the same answer