A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer ?

Answer:

See below.

Step-by-step explanation:

Part A:

triangle QPR and triangle PSR are similar

Part B:

Triangle QPR is a right triangle with right angle QPR.

Triangle SPR is a right triangle with right angle PSR.

Angle QPR of triangle QPR corresponds to and is congruent to angle PSR of triangle PSR.

Angle R of triangle QSR corresponds to and is congruent to angle R of triangle PSR.

The similar triangles by AA Similarity are

triangle QPR and triangle PSR

Part C:

QR/PR = PR/SR

16/PR = PR/4

PR² = 16 * 4

PR² = 64

PR = 8

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

4b² when b = -1/2

[tex] = {4( \frac{ - 1}{2})}^{2} \\ = 4( \frac{1}{4}) \\ = \frac{4}{4} \\ = 1[/tex]

Answer:

-4

Step-by-step explanation:

4b x 2 when b = -1/2

1) put -1/2 where b is.

4 x -1/2 x 2

2) solve.

-2 x 2

-4

Answer:

5 km would be the answer

Step-by-step explanation:

For 45-45-90 triangles, the values are x, x, for the less long sides, then for the hypotenuse it's x sqrt2, because that is the rule for 45-45-90 triangles. So since in this problem, the value for the hypotenuse is 5sqrt2 km, the c value would be 5 km. Hope this helps!

Answer:

If you draw the graph of y = -x + 6  on the above graph  the solution to system will be the coordinates of the point of intersection.

the equation of the line drawn above is y = 0.5x

so you can also find the solution by solving the system

y = 0.5x

y = -x + 6

0.5x = -x + 6

1.5x = 6

x = 6/1.5 = 4

and y = 0.5*4 = 2

The answer is  (4, 2)     - the third choice.

Step-by-step explanation:

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

х=10

I'm so sorry, i don't know how it's called (because English isn't my native language) but there are angles that have the same value

maybe u'll tell me..

Step-by-step explanation:

hello you then good mujhe samajh mein nahin a rahi hai sorry

Answer:

1.54

Step-by-step explanation:

First, we can take into account that mean = sum / number of students. Therefore, we can find the sum of each group of students, as

1.67 = sum / 20

1.50 = sum / 16

1.40 = sum / 14

Multiplying each equation by the number of students in the group to isolate the sum, we get

1.67 * 20 = 33.4

1.50 * 16 = 24

1.40 * 14 = 19.6

We can sum these up to get the total sum of all three groups of students, resulting in

33.4 + 24 + 19.6 = 77

As mean = sum / number of students, we can say that

total mean = total sum / total number of students

total mean = 77 / (20+16+14)

= 77/50

= 1.54

Answer: Rational

This is because the number is in the form P/Q where P and Q are integers

We have P = -13 and Q = 12.

You can think of "rational" as in "ratio" which is very closely tied to fractions. Any rational number is a fraction of two integers. The denominator can never be zero.

Answer:

Rational

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Decimal form: − 1.08 3

3 repeats itself, so it's rational.

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

Step-by-step explanation:

lol wea is the diagram??

Answer:

Length of the missing side is 13

I hope it's helps you

Answer:

Step-by-step explanation:

diameter of the circle=smallest of the length and width=21 cm

r=21/2

area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²

Answer:

-1600

Step-by-step explanation:

−4^3(5^2)

5 × 5 = 25

-4 × -4 × -4

   -16 × -4

       -64

64 × 25 = -1600

The answer is -1600

Hope this helped.

Answer:

Step-by-step explanation:

a.)

[tex]14*2^x[/tex]

b.)

[tex]14*2^7=1792[/tex]

Answer: x³-21x+20=0

Step-by-step explanation:

To find which polynomial has 1, 4, -5 as the roots, all we have to do is equal each root to 0 and multiply all factors together.

1 is (x-1)=0

4 is (x-4)=0

-5 is (x+5)=0

Now, we just multiply them together.

(x-1)(x-4)(x+5)=0                       [FOIL]

(x²-4x-x+4)(x+5)=0                    [combine like terms]

(x²-5x+4)(x+5)=0                      [FOIL]

x³+5x²-5x²-25x+4x+20=0       [combine like terms]

x³-21x+20=0

Now we know x³-21x+20=0 is the polynomial with those roots.

Answer:

smart dot company would be c=.50t+12

communication plus would be c=2.50t

Step-by-step explanation:

smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.

So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0

Then you graph once you have both values you can graph having x=time and y=cost

Let me know if this helps!

Step-by-step explanation:

angle marked on diagram = 180 - 75 = 105° (supplementary angles)

x = 105° (alternate angles are equal)

Answer:

= 11

Find the Greates Common Deviser :

Answer:

Y = 2x - 4

(2,-4)

gradient= 2

y-intersept = -4

3 / 5 = 0.6

3/5 = 60/100 = 60% = 0.6

Hope this helps!

Answer: 0.6

Step-by-step explanation: if 1/5=.20 3/5=.6

Answer:

p < 0.24

Step-by-step explanation:

If earning is 24% less Than predicted, this means that the we can represent the predicted earning with a variable, p

If the predicted earning = p

Then, the actual earning can be represented by the inequality ; p < 24%

p < 0.24

Answer:

answer 1

Step-by-step explanation:

x^2+4x+7

=(x^2+4X+4)+3

=(x+2)^2+3

Smart Dot, multiply the cost per hour by number of hours (t) and add to the monthly fee:

C = 0.50t + 12

Communication plus: Multiply the cost per hour by number of hours (t)

C = 2.50t

Answer:

m∠LMK = 50°

Step-by-step explanation:

This is an isosceles triangle. Isosceles triangles have two sides of equal length and two equal angles. This means ∠K and ∠M will have the same degrees.

The sum of the angles of a triangle is 180°. The following equation can be arranged and solved for the missing angles:

[tex]x+x+80=180\\2x+80=180\\2x=100\\x=50[/tex]

Therefore, m∠LMK = 50°.

Answer:

D and B

Step-by-step explanation:

2) (59.6)/180 * pi=1.04

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA