the length of each side of a square is 3 in. more than the length of each side of a smaller square. the sum of the areas is 45 in^2. find the lengths of the sides of the two squares

Answer:

1/5

Step-by-step explanation:

First you need to find the total amount of marbles

5+8+6+11= 30

There are 6 orange marbles

So the probability is 6/30 which reduces to 1/5

Answer:

A.

1. No

2. Yes, 6*6=36

3. Yes, 7*7=49

4. No

5. Yes, 11*11=121

6. Yes, 13*13=169

7. Yes, 20*20=400

8. No

B.

1. 8

2. 10

3. 9

4. 4

5. 2

6. 0

7. 5

8. 12

C.

1. 11.4

2. 2.8

3. 9.2

4. 6.3

5. 4.9

6. 10.5

D.

1. rational

2. rational

3. irrational

4. rational

5. irrational

6. irrational

7. rational

8. rational

9. rational

10. rational

11. irrational

12. irrational?

Answer:

A1. No (4 more than 4²)

A2. Yes - 6 * 6 = 36

A3. Yes - 7 * 7 = 49

A4. No (4 more than 8²)

A5. Yes - 11 * 11 = 121

A6. Yes - 13 * 13 = 169

A7. Yes - 20 * 20 = 400

A8. No (6 more than 12²)

B1. 8

B2. 10

B3. 9

B4. 4

B5. 2

B6. 0

B7. 5

B8. 4

C1. 11.4

C2. 2.8

C3. 9.2

C4. 6.3

C5. 4.9

C6. 10.5

D1. Rational

D2. Rational

D3. Irrational (closest rational (2 decimal places) is -1.41)

D4. Rational

D5. Irrational (closest rational (2 decimal places) is 2.23)

D6. Irrational (closest rational (2 decimal places) is 3.14)

D7. Rational

D8. Rational (simplifies to 4)

D9. Rational

D10. Rational (same as 0.75)

D11. Irrational (because of the dots)

D12. Rational (5/13 pattern goes like this: 384615)

The school has a total of 360 students. The number of students that would attend this year is 357.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]

Thus, 357 to the nearest whole number.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ2

9514 1404 393

Answer:

  0.533... (repeating)

Step-by-step explanation:

You will notice that the division problem repeats when the quotient digit is 3. The decimal equivalent is a repeating decimal with a 1-digit repeat. That digit is 3.

  [tex]\dfrac{8}{15}=0.5\overline{3}[/tex]

Answer:

0.5333333…. (3 repeated)

Step-by-step explanation:

8 goes on the inside of the house and 14 on the outside

*Not my handwriting. A friend wrote it and I did the math*

Answer:

872 sq inches

Step-by-step explanation:

Total surface area = 2 × (17 × 12) + 2 × (8 × 17) + 2 × (12 × 8)

                               = 408 + 272 + 192 = 872

Answer:

364yd^2

Step-by-step explanation:

LxWxH

Answer:

its 364

Step-by-step explanation:

you do length times width times height

Answer:

.764

Step-by-step explanation:

do it on a calculator (TI84)

Answer:

45.6°

Step-by-step explanation:

take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]

plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°

Answer:

the value x is 0 and the value of y is 2

Answer:

D

Step-by-step explanation:

6(g + 4)

we distribute the 6 to the terms in the parenthesis.

(6 × g) + (6 × 4)

(6g) + (24)

6g + 24

Answer:

answer is 40 degree

Step-by-step explanation:

hope it helps!!!

Answer:

( 3 / 4) * λ = - 1 - - > λ = - ( 4 / 3)

y = - ( 4 / 3) * x + 6

Answer:

Y= -4/3 X + 6

Step-by-step explanation:

I've explained this answer in attachment.

Answer:

6.12 meters

Step-by-step explanation:

Answer:

87.5%.

Step-by-step explanation:

This is simple. You thought the kitten weighed 15 pounds but really weighs 8. The first thing you would do is subtract the guess minus the actual.

15 - 8 = 7.

That person was off by 7.

So you would put it as a fraction over the actual weight. 7/8. Then turn your fraction into a decimal and turn that decimal into a percent.

7 divided by 8 = 0.875.

0.875 as a percent is 87.5%.

So the percent error is 87.5%.

Answer:

x = 3 , y = 2

Step-by-step explanation:

Answer: B

The series converges because it has a sum of 4.

Step-by-step explanation:

The convergence or divergence of a series depends on the sum of the series and its common ratio. The series converges because its sum is b

The series is given as:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

A geometric series is given as:

[tex]T_n = ar^{n-1}[/tex]

So, we rewrite the series as follows:

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]

Apply law of indices

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^{n-1} \times (\frac{2}{3})[/tex]

Rewrite

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 \times (\frac{2}{3})(\frac{2}{3})^{n-1}[/tex]

[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

So, we have:

[tex]T_n = \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]

Compare the above series to: [tex]T_n = ar^{n-1}[/tex]

[tex]a = \frac{4}{3}[/tex]

[tex]r = \frac{2}{3}[/tex]

The sum of the series to infinity is:

[tex]S_{\infty} = \frac{a}{1 - r}[/tex]

So:

[tex]S_{\infty} = \frac{4/3}{1 - 2/3}[/tex]

[tex]S_{\infty} = \frac{4/3}{1/3}[/tex]

[tex]S_{\infty} = 4[/tex]

i.e. [tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = 4[/tex]

Also:

The common ratio (r)

[tex]r = \frac{2}{3}[/tex]

[tex]r = \frac{2}{3}[/tex] [tex]< 1[/tex]

When common ratio is less than 1, then such series is convergent.

Hence, (b) is true because it has a sum of 4

Read more about series at:

https://brainly.com/question/10813422

Answer:

5

Step-by-step explanation:

[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]

Answer:

18m^3

Step-by-step explanation:

Khan Academy, It shows how to do the steps

Answer: 7 2/3

R = 3s + 5

28 = 3s + 5

23 = 3s

s = 7 2/3

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

Answer:

673.8

Step-by-step explanation:

Answer:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Step-by-step explanation:

Given

[tex]Children = 3[/tex]

Required

List all cases of having at least 1 girl

We have:

[tex]B = Boy[/tex]

[tex]G = Girl[/tex]

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Answer:

-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

goodluck

Answer:

length of rectangular =250m

breath =130m

perimeter of rectangular field =(130*250)

=32500m

cost of fencing a rectangular field at the rate of 30 per meter

cost of the rectangular field =32500*30  

=rupees 975000

hope it helps

Answer:

b- If two sides are perpendicular, then it is a right triangle. It can be isosceles or scalene. It cannot be equilateral because all the angles in an equilateral triangle are acute.

Step-by-step explanation:

An equilateral triangle has 3 equal sides and 3 congruent angles, each with an acute measure of 60 deg.

If two sides are perpendicular, they form a right angle, w/ measure of 90 deg. Therefore, cannot be equilateral.

30-60-90 triangles are quite common and useful in geometry... they are scalene and have 2 perpendicular sides.

45-45-90 triangles are isosceles and have 2 perpendicular sides.

Both are types of right triangles.

Answer:

[tex]x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9[/tex]