A community is building a square park with sides that measure 150 meters. To separate the picnic
area from the play area, the park is split by a diagonal line from opposite corners. Determine the
approximate length of the diagonal line that splits the square. If necessary, round your answer to
the nearest meter.

Answer:

Both 4x^2 and 64 are perfect squares

Step-by-step explanation:

If you are looking for the difference of squares, the two terms both have to be squares. We know that 64 is a square because it is 8 x 8. Also, we can say 4x^2 is a square because it can also be written as (2x)^2. We are basically looking for an option that tells us that they are square. This is option 1.

The second option is invalid because being an even number does not mean the number is a square.

The third option does not help the case much either. Just because there is a common perfect square factor, does not mean the numbers themselves are perfects squares.

Answer:

6 passengers got off at New Jersey

Step-by-step explanation:

let the number of passengers who got off be x and let the number of passengers who boarded the bus be y

y=2x

44 - x + y=50

y=50-44+x

y=6+x

subst y=2x

2x=6+x

2x-x=6

x=6

Answer:

y=1/3x+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

so we know that a triangle degrees have to add up to 180 in the inside right? So we know c is 90 and so you need to find A and B. The left over degrees you have is 90 so the sum of B and A would have to be 90, thats all i can help you with sorry.

Answer:

f(x) = x(x-1)

Step-by-step explanation:

The easy way to do this is to look at it graphically. an inverse function is reflected across the line y=x. f(x)=x(x-1) is an upward opening parabola when reflected, there are two y-values for all positive values of x. A function can only have one y for every x.

Answer:

2nd to the left

Step-by-step explanation:

Answer:

2.93 but rounding because he must purchase whole tubes: 3.

Step-by-step explanation:

So, to figure this out, we must recall the formula for sufrace area of a rectangle:

2*L*H+2*L*W+2*W*H

This is a bit long, so lets break it up into 3 seperate segments, and plug in values:

2*L*H

Plug in the values:

2*20*10

=

400

2*L*W

Plug in the values:

2*20*8

=

320

2*W*H

Plug in the values:

2*8*10

=

160

Now that we have solved for each segment, lets add them together to get our total surface area:

400+320+160

=

880

So this is the surface area.

Now, we know that a tube of paint covers 300 of the 880 surface area.

To find the exact amount, lets divide the 880 by the 300:

[tex]\frac{880}{300}[/tex]

Simply:

[tex]\frac{44}{15}[/tex]

This is sligthly less than 3, and doing it out, you actually get 2.93 with the 3 repeating.

Now we need to think about something. Lets say you are going to the grocery store, and you need 1.895893 lettuce. Do you think you will find 1.89 lettuce? No, you could get 1 or 2, but not 1.89 lettuce, that just doesnt make sense.

It is the same thing here, we have to round up. Note that when doing problems such as these, you will never round down. If you need 1.253 tubes of paint, you arent going to get 1. You are going to need 2.  So note that you will always round up when you solving a problem like this.

So your answer is 3.

Hope this helps!

Answer:

x=28

Step-by-step explanation:

4(x-5)=92

4x-20=92

add 20 to both sides

4x=112

divide 4 on both sides

x=28

Answer:

The value of x is 28

Step-by-step explanation:

4(x - 5) = 92

4x - 20 = 92

4x = 92 + 20

4x = 112

x = 112 ÷ 4

x = 28

Thus, The value of x is 28

-TheUnknownScientist

Answer:

E. 54cm ^2

Step-by-step explanation:

when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm

Answer:

E

Step-by-step explanation:

length times width

6 x 9 = 54

Answer:

377 feet

Step-by-step explanation:

Find the circumference on the circle, using the formula C = 2[tex]\pi[/tex]r

Plug in 12 as r, the radius, then solve:

C = 2[tex]\pi[/tex]r

C = 2[tex]\pi[/tex](12)

C = 24[tex]\pi[/tex]

Multiply this by 5, since the kids ran around it 5 times:

24[tex]\pi[/tex](5)

= 120[tex]\pi[/tex]

To the nearest foot, this is 377.

So, the kids ran round 377 feet

Answer:

[tex]18th=44032[/tex]

Step-by-step explanation:

From the question we are told that:

9th term [tex]a9=\frac{43}{256}[/tex]

14th term [tex]a14=172[/tex]

Generally the equation for Geometric sequence is mathematically given by

 [tex]a_n=a_1r^{n-1}[/tex]

For 9th term

 [tex]\frac{43}{256}=a_1r^{8}[/tex]

For 14th term

 [tex]172=a_1r^{13} \\a_1=\frac{172}{r^13}[/tex]

Substitute in 9th term

 [tex]\frac{43}{256}=\frac{172}{r^13}*r^{8}[/tex]

 [tex]\frac{43}{256*172}=r^{-5}[/tex]

 [tex]r=^5sqrt{\frac{44032}{43}}[/tex]

 [tex]r=4[/tex]

Therefore First term a is given as

 [tex]a_1=\frac{172}{4^13}[/tex]

 [tex]a_1=2.563*10^{-6}[/tex]

Generally the equation for the 18th term is mathematically given by

 [tex]18th=a_1r^{17}[/tex]

 [tex]18th=2.563*10^{-6}*4^{17}[/tex]

 [tex]18th=44032[/tex]

Answer:

1.870828693387

Step-by-step explanation:

Standard Deviation, σ: 1.870828693387

Count, N:4

Sum, Σx: 12

Mean, μ: 3

Variance, σ2:  3.5

Steps

σ2 = Σ(xi - μ)2

N  =   (6 - 3)2 + ... + (1 - 3)2

4 = 14

4  = 3.5

σ = √3.5

= 1.870828693387

Answer:

16.5 feet is the height of the house.

Answer:

There is a 1/3 chance it lands on each section

Step-by-step explanation:

Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5

Step-by-step explanation: Khan Academy

Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.

The correct option is (b).

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

WE have to  prove that the sum of a triangle's interior angle measures is 180°

According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are  alternate interior angle.

So, Joe made the mistake by guessing Angles ∠4 and∠2  and ∠1 and ∠5 are alternate interior angles.

Learn more about parallel lines here:

https://brainly.com/question/16701300

#SPJ2

Answer:

I think it is 23 I am not sure

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Answer:

The polar bear weighs 525kg

Step-by-step explanation:

C = Polar Bear

D = Baby Elephant

____________________________

(1)  C + D = 700 kg

(2)  C = 3D

________________________________

C = 700 - D

700 - D = 3D

700 = 4D

________________________________

525 + 175 = 700

Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.

Hope this helps you :)

Answer:

91,858

Step-by-step explanation:

This is the right answer

Answer: the answer is B hope it helps

Step-by-step explanation:

16,468 plus 75,390 = 91858

Answer:

c≈5.2

Step-by-step explanation:

c=a2+b2=1.412+52≈5.19501

Answer: 5 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

37.82 year(s)

Step-by-step explanation:

double check tho, i might be using different method or my ans could be wrong since you gave literally no info on your specific task

Answer:

[tex] \frac{4}{5} [/tex]

Step-by-step explanation:

[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.

Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.

Answer:

1. D. Teorema.

2. A. Axioma.

Step-by-step explanation:

Espero que esto ayude

The answer would be 46 gal.

Answer:

9y^2 - 25

Step-by-step explanation:

This is the product of the sum and difference of two squares:

(a - b)(a + b) = a^2 - b^2 (a formula well worth memorizing)

Therefore, (3y - 5)(3y + 5) = 9y^2 - 25, which is in standard form.

Answer:

C.

Step-by-step explanation:

Answer:

Because if two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar

Step-by-step explanation:

Answer: they look similar

Step-by-step explanation: to try to figure it out rotate one triangle to make it look identical :)