angle 2= 4x-26 angle 3= 3x +4

Answer:

114 yards

456 yards

Step-by-step explanation:

Given that:

Area of square parking lot = 12,996 square yards

The lenght of one side of the parking lot :

Area of a square = a² ; a = side length

Hence ;

12996 = a²

√12996 = a

114 = a

Hence, length of one side = 114 yards

Yards of fence needed to enclose parking lot :

Perimeter of a square = 4a ; a = side length

Perimeter = 4(114)

Perimeter = 456 yards

Answer:

x= 30

Step-by-step explanation:

3x + 50 = 140

3x = 140 -50

3x = 90

x = 90/3

x = 30

Answer:

x = 30

Step-by-step explanation:

The given angles are vertical and congruent , then

3x + 50 = 140 ( subtract 50 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Answer:a

Step-by-step explanation:

Answer is D

the reason it's because you only changed the Y intercept number to a negative so it will shift down the graph 14 units because if you have no adding number then your graph will start at 0 but it's -7 so it starts at -7 so now shift 14 places down

Answer:

16

Step-by-step explanation:

3 divided into 12 =4

4x4=16

4 divided into 16 =4 so 16

Answer:

-1/2

Step-by-step explanation:

The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way

Step-by-step explanation:

The absolute maximum of the function is y = 4, at (3, 4).

Both ends of the function point downward, which stretches to negative infinity.

Hence the range is -infinity < y <= 4. (D)

Part A

(3x)^2*x^4

(3x)*(3x)*x^4 .... expand out (3x)^2

(3*3)*(x*x*x^4)

9x^6

Answer:  9x^6

============================================

Part B

It appears that Tonya forgot to square the 3 term and had this as her steps

(3x)^2*x^4

3x^2*x^4

3x^(2*4)

3x^8

Which is incorrect as the answer in part A indicates.

Not only is the '3' part wrong, but also the exponent of 8. Instead of multiplying the exponents, she should have added them.

The rule is a^b*a^c = a^(b+c). In this case, a = x, b = 2 and c = 4.

So x^2*x^4 = x^(2+4) = x^6

Answer: 304.8

Step-by-step explanation;

7300:23.95 = 303.8

Answer:20

Because I looked it up

Answer:

sales tax is $3.50.

She would have to pay $73.50

Step-by-step explanation:

5% of 70 is 3.5 (sales tax)

70+3.5= 73.5

Answer:

The four consecutive odd integers = 15, 17, 19, 21

Step-by-step explanation:

Four consecutive odd integers in Mathematics when x is an integer is given as:

x , x + 2 , x + 4, x + 6

Where:.

First integer = x

Second integer = x + 2

Third integer = x + 4

Fourth integer = x + 6

The sum of the first and fourth is 55 greater than the opposite of the third

Hence :

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

2x + x = 51 - 6

3x = 45

x = 15

Therefore,

First integer = x = 15

Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

Answer:

15. 88%

Step-by-step explanation:

I did division

Answer:

16. is 11550

Step-by-step explanation:

Step-by-step explanation:

true I think I hope this helps !!!

Answer:

ok what is thepromblem

Step-by-step explanation:

Answer:

whats up? whats tha questionn :)

Step-by-step explanation:

Answer:

x=[tex]\sqrt 26[/tex]/2-2

Step-by-step explanation:

cant see the pic

Step-by-step explanation:

Answer:

[tex]y\leq \frac{x}{2}-2[/tex]

Step-by-step explanation:

When dividing/multiplying you flip the inequality sign, and the negative on the x and 2 cancel.

Answer:

(9,3)

Step-by-step explanation:

You can just substitute the answer choices in to the equation and see what option works for both equations.

Answer:

~21.6 miles

Step-by-step explanation:

72:1 is 72mph

18 min is 30% of a hour

72 times .3

Answer:

331.66

Step-by-step explanation:

125(1.05)^20

The answer is $10 per adult ticket, and $7 per child ticket. Now lets figure out how to get to that answer. Let's create a chart to help visualize this.

- - - - -A- - - - - C- - - - -T- - - - -

    :     2    :      4     :   $48    :    

    :     5    :        2   :   $64    :                Key:

    :           :             :               :                      A = Adult ( The Y)

    :           :             :               :                      C = Child ( The X)

    :           :             :               :                       T= Total

When we look at it, the total cost is less then what the adult would be when multiplied by 10, and you WOULD have to add the children cost to the adult cost, so lets try it.

Lets do the 2 adult tickets first, 2 x 10 is 20. Now we do 48 - 20 to get how much the cost of the children's 4 needs to equal. We get 28 as the answer. Now we have to do 28 divided by 4, we get 7 as that answer.

Now lets plug that in to the $64 problem and see if that gets us the correct answer.

So the amount of adult tickets for this problem is 5, so we do 5 x 1 which is 50.

Now the amount of children tickets is 2, so lets do 2 x 7, which equals 14.

Now to test if it gets us the correct answer, to do that we do 50 + 14, that equals what we want it to, 64.

Therefor, the correct answer is $10 per adult ticket, and $7 per child ticket.

Hope this helps!

Answer: 75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

a). By applying tangent rule in the triangle,

   tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{3}{4}[/tex]

   θ = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   θ = 36.87°

   Therefore, θ < 45°

b). By using cosine rule in this triangle,

   cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{18}{18\sqrt{2}}[/tex]

   cosθ = [tex]\frac{1}{\sqrt{2}}[/tex]

    θ = 45°

c). By using tangent rule,

  tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{8}{2}[/tex]

  θ = [tex]\text{tan}^{-1}(4)[/tex]

  θ = 75.96°

  θ > 45°