(7 pts) A school has 400 feet of fencing to build a set of 3 athletic fields as shown below. What dimensions
should they use to build the largest possible athletic complex? Include appropriate units with your answer.
х

Answer:

a) Angle(A+B+C) = 180°

3x - 2° + x - 2° + 2x + 4° = 180°

6x = 180°

x = 30°

<A = 3(30°) - 2° = 88°

<B = 30° - 2° = 28°

<C = 2(30°) + 4° = 64°

b) at point Q

3y + 6y = 180°

y = 20°

<Q = 3(20°) = 60°

<S = 20°

x = 180° - (<S + <Q)

x = 180° - (80°)

x = 100°

<R = 100°

Answer:

A and B only

Step-by-step explanation:

Number lines have smaller numbers on the left and larger numbers on the right. To determine the position of 4/10 on the number line, we just need to compare the value to the values in the answer choices.

a. 4/10 is equivalent to 2/5 (2/5 is just a simplified version of 4/10). If you multiple both the numerator and denominator of 2/5 by 2, you will get 4/10. If you do 4 divided by 10 and 2 divided by 5, you'll also see that they are both equivalent to 0.4. Hence, they have the same value and will be in the same place.

b. 3/10 is smaller than 4/10. In a case where the denominators of two fractions are the same, a smaller numerator would mean a smaller value. In addition, 3/10 is equivalent to 0.3 and 4/10 is equivalent to 4/10 so 0.3 is less than 0.4. That means 4/10 will be on the right of 0.3 because it's a larger number.

c. Using the same logic as part b, 2 is less than 4. That means 2/10 is less than 4/10, so 4/10 would be on the right of 2/10, not the left.

d. Same logic as parts b and c. 7 is greater than 4, so 4/10 should be on the left of 7/10 not right.

Answer:

Denote by A, F, Z, J, and M

A > F        A is out

Z > A      so Z is out

M > A      so M is out

F > J       so F is out

That leaves only J, Jessica

Also from above one can write:

(M, Z)  > A > F

that only leaves J

Answer:

the 4th

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

10x12=120 z=120

Answer:

120

Step-by-step explanation:

12 times 10 is 120

good luck!

Answer: 78/5

Step-by-step explanation:

To simplify this fraction, we should get rid of 15 in order to only have a numerator and a denominator. We would first multiply 15 with 5.

15 * 5 = 75

Then we would add 75 to 3.

75 + 3 = 78

We now have our numerator for our simplified fraction.

78/5

◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦ ◦

                             [tex]HELLO! :)[/tex]

3204:119=

=26,92

=27/10

Answer: -1/7

I hope this helps I would appreciate brainliest if possible :)

Answer:

Yes and No

Step-by-step explanation:

Yes, it is weird because Halloween comes first.

No, it's not weird because it is your choice.

bye.

Answer:

Step-by-step explanation:

d  = 125   {corresponding angles are equal}

e + 125 = 180   {linear pair}

e = 180 - 125

e = 55

f = e   {Vertically opposite angles}

f = 55

c = f   {corresponding angles are equal}

c = 55

a = c  {Vertically opposite angles}

a = 55

b =d   {Vertically opposite angles}

b =  125

Answer:

a = 55°

b = 125°

c = 55°

d = 125°

e = 55°

f = 55°

Step-by-step explanation:

125 + e = 180

e = 180 - 125

e= 55°

e = f = 55°

f = a (being alternate angles)

a = c( being vertically opposite angles)

d = 125°(being corresponding angles)

d = b (being vertically opposite angles)

Answer:

4700

Step-by-step explanation:

240.50 x 19.54

= 4699.37

2 significant = 4700

Answer:

4,699.37

Step-by-step explanation:

240.50 x 19.54 = 4,699.37

Answer:

(4,7),(5,-1),(6,-10)

Step-by-step explanation:

mark me brainliest

Answer:

-2x .(5x+18)

Step-by-step explanation:

Answer:

x= -1 a x i s of s ym m et ry

(-1, -1) v e r t e x

Step-by-step explanation:

M a t h w a y step by step

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

Answer:

y=3/5x-1 or y=0.6x-1

Step-by-step explanation:

Answer:

883773737383838837373737

Step-by-step explanation:

(x/z)=3 (7/5)= x'2

tis is the right answer

plz mark me branlists

Answer:

Step-by-step explanation:

Answer: It equals 32!

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

the answer is A ;

sin = opposite/ hypotenuse

= 24/ 26 ( we need to simplify it)

= 12/13

Answer:

A or 12/13

Step-by-step explanation:

Answer: tan(pi+theta)=-9.9

Tan(2pi+theta)=-9.9

Step-by-step explanation:

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

A unit circle is a circle with a radius of a unit used to calculate the value of trigonometric functions associated to a right triangle. In this case, the tangent function for a point (x, y) is:

tan θ = y/x     (1)

The trigonometric expression for the tangent of the sum of two angles:

[tex]\tan (\alpha + \theta) = \frac{\tan \alpha + \tan \theta}{1 - \tan \alpha \cdot \tan \theta}[/tex]     (2)

Now we proceed to calculate the trigonometric expressions:

[tex]\tan (\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (\pi + \theta) = -9.9[/tex]

[tex]\tan (2\pi + \theta) = \frac{\frac{-0.99}{0.1}+0}{1-\left(\frac{-0.99}{0.1}\right)\cdot (0)}[/tex]

[tex]\tan (2\pi + \theta) = -9.9[/tex]

By trigonometric expressions we conclude that the values of the tangent functions of the angles π + θ and 2π + θ radians are both equal to - 9.9.

To learn more on trigonometric expressions: https://brainly.com/question/6904750

#SPJ2

Answer:

below

Step-by-step explanation:

[tex]6x-2y=14[/tex]

[tex]-2y=14-6x[/tex]

[tex]y=-7+3x[/tex]

but has in slope-intercept form, y = 3x - 7

both lines are equal

9514 1404 393

Answer:

  5.76%

Step-by-step explanation:

There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.

__

The value can also be found graphically from the amortization formula:

  A = P(r/12)/(1 -(1 +r/12)^(-12t))

where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.

This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...

  f(x) = A(P, x/100, t) -615.13

where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.

Answer: 2 kg

Step-by-step explanation:

3/4(22-x)=17-x

66/4-3/4x=34/2-x

33/2-3/4x=34/2-x

1/4x=1/2

x=2

Answer:

that's 2kg because 22*.75 is 17 the difference is -5 each time. 17- another 5 is 12 or 2/4 the original amount. you keep going and at the end you are left with 2kg

Answer:

1/6

Step-by-step explanation:

1/3 - 1/6

1×2/3×2 - 1×1 / 6×1 ( LCM of 3 and 6 )

2/6 - 1/6

2-1/6

1/6 answer