2.
7 in
Н
I
2 in
J
What is the Scale Factor?
21 in
M
6 in
N

Answer:

10

Step-by-step explanation:

[tex]10.75 - 8.25 = \frac{x}{4} \\ 2.5 \times 4 = x \\ x = 10[/tex]

9514 1404 393

Answer:

  QR = 2

Step-by-step explanation:

The sum of ratio units is 4+5+2 = 11, corresponding to the total length OP +PQ +QR = OR. OR is also 11, so each ratio unit stands for 11/11 = 1 length unit.

The number of ratio units associated with QR is 2, so the length of QR is 2.

Answer:

1

Step-by-step explanation:

The exponent in the expression 45 is 1

[tex]45 = {(45)}^{1} \\ \\ exponent = 1[/tex]

Answer:

 A) the curves are ellipses

 B) 161 yards

 C) 366 yards

Step-by-step explanation:

A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.

B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*

So, the approximate length of side c is ...

c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c  

C) The perimeter of the pond is the sum of the side lengths, so will be ...  

80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter  

Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...

C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))    where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.

For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find  C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide

This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.

The attachment shows the shape if the curve is actually an ellipse.

Answer:

The amount of lemonade Patricia drank is 1/4 p ounces.

Step-by-step explanation:

Answer:

The amount of lemonade Patricia drank is 1/4 p ounces.

I just did this in edmentum

Step-by-step explanation:

Answer:

it's 1//6

Step-by-step explanation:

I used the calculator, and its 1/6

Note: Make Me BRAINLIEST PLZZ..

Answer:

0.16 or 1/6

Explanation:

2/3 divided by 4 is 0.16666666666

0.16666... = 0.1 + 0.06666...

x = 0.06666...   / · 10

10 x = 0.66666...

10 x = 0.6 + 0.6666...

10 x = 0.6 + x

9 x = 0.6

x = 0.6/9  = 6/90 = 1/15

0.166666... = 0.1 + 1/15 = 1/10 + 1/15 = (2 + 3) / 30 = 5/30 = 1/6

Answer:$15

Step-by-step explanation:

$30-$5=$25

$25-$10=$15

Answer:

Step-by-step explanation:

a^2=b^2-c^2

Answer:

38 is the 13th term

Step-by-step explanation:

Just add 3 until you are at the 13th term

Answer:

248

Step-by-step explanation:

(62)4

= 62 x 4

= 248

Answer:

not congruent

Step-by-step explanation

only one side has a 90 degree angle

Answer:

We verified that the equation [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex] has both sides equal.

Step-by-step explanation:

We need to solve and verify: [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex]

Solving:

[tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex]

Converting into improper fractions

[tex]\frac{15}{2}\div\frac{3}{2}=5[/tex]

Converting division sign into multiplication and reversing 3/2 i.e

[tex]\frac{15}{2}\times\frac{2}{3}=5[/tex]

Now simplifying

[tex]\frac{15}{3}=5 \\5=5[/tex]

So, We verified that the equation [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex] has both sides equal.

Answer:

ok

Step-by-step explanation:

Answer:

First you need to divide 1.6 by 2 to get .8 then multiply

.8 x 6 = 4.8

.8 x 8 = 6.4

Then multiply 4.8 by 6.4 and get 30.72

The area of the actual backyard is 30.72 [tex]m^2[/tex]

Since A scale model drawing of a backyard is 6 centimeters wide and 8 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.6 meters.

Here we were required to divide 1.6 by 2 so that 0.8 could come

Now

[tex]= (.8 \times 6) \times (.8 \times 8) \\\\= 4.8 \times 6.4[/tex]

= 30.72

Therefore, The area of the actual backyard is 30.72 [tex]m^2[/tex]

Learn more about area here: https://brainly.com/question/18272840

Answer:

Lincoln Avenue is represented by the line [tex] x = 5 [/tex], which is a VERTICAL LINE.

Step-by-step explanation:

The equation of the line of Washington Avenue, x = 3, suggests that the line is a vertical line, since a vertical line takes the form of x = k, where k is the value x would always take and also it is the x-intercept.

Given that Lincoln Avenue passes through the point (5, 2), and its line is parallel to that of Washington Avenue, it means that the line do not intercept each other, and Lincoln Avenue is also a vertical line.

Therefore, if Lincoln Avenue passes through (5, 2), its line can be represented also in the form, x = k. Where, k is the value that x would always take, and also, it is the x-intercept. x would always be 5 even when y changes.

Therefore, the equation of the line that represents Lincoln Avenue would be:

✅ [tex] x = 5 [/tex]

✅This is also a Vertical line.

Answer: 8 markers are in each box. But if there asking how much her sister took away and how many markers are in each box left it would be 6

Step-by-step explanation:

24 divided by 3 is 8

Answer:

ITS FALSE

CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP THANKSS <3

Step-by-step explanation:

Answer:

C) 11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3

Step-by-step explanation:

2^3 = 8

[tex]\sqrt{5}[/tex] = 2.236....

[tex]\sqrt{20}[/tex] = 4.472...

[tex]\sqrt{11}[/tex] = 3.317...

11/9 = 1.222...

So from least to greatest:

11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3

The answer would be C.

Answer:

[tex]Probability = \frac{12}{35}[/tex]

Step-by-step explanation:

Given

Represent Defective Bulbs with D and non good bulbs with G

[tex]D = 3[/tex]

[tex]G = 12[/tex]

The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)

Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.

This is then calculated as:

[tex]Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}[/tex]

We used Total - 1 on second selections because it is a probability without replacement

[tex]Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}[/tex]

[tex]Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}[/tex]

[tex]Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}[/tex]

[tex]Probability = \frac{6}{35} + \frac{6}{35}[/tex]

[tex]Probability = \frac{12}{35}[/tex]

Answer:

1. (-9.5,0)

2. (2,0)

3.(-1,0)

4.(6.5,0)

5.(-1,4)

6. (0,-4)

7.(4,1)

8. (-8,18)

Answer:

i believe it is  - 9n/2 - 4

Step-by-step explanation:

Hope this helps

Answer:

3.875 pizzas

Step-by-step explanation:

31/8=3.875

Answer:

1/8 or 0.125 if i am correct

Step-by-step explanation:

Line B changes because you are taking -2x and adding it to both sides to get -10x -24 = 36

You do this to get the X on one side of the equation, hope this helped you :)

Answer:

1. AB AC BC

2. angle P angle angle R angle Q

3. angle M

Step-by-step explanation:

Topic: triangle properties

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  [tex] 0.551<  p <  0.610[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      [tex]\^ p = \frac{614}{1057 }[/tex]

=>   [tex]\^ p = 0.5809[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} } [/tex]    

=>   [tex]E = 0.02975  [/tex]  

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex] 0.5809 - 0.02975<  p <  0.5809 + 0.02975[/tex]

=>    [tex] 0.551<  p <  0.610[/tex]