Square A′B′C′D′ is a dilation of square ABCD.

What is the scale factor?

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Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

Answer:

4/663

Step-by-step explanation:

Since the first card is set aside after being drawn, this is dependent probability.
There are 4 kings in 1 deck of 52 cards.
Therefore the probability of choosing a king is 4/52 = 1/13.

But after choosing 1 card from the deck, there are now 51 cards in the deck. There are 4 queens in the deck of 51 cards. Therefore the probability of choosing a queen is 4/51.

To determine the probability of choosing both, multiply the 2 probabilities.
[tex]\frac{1}{13} * \frac{4}{51} = \frac{4}{663}[/tex]

Answer:

1/13

Step-by-step explanation:

once you simplify and finish that is the simplified answer

Answer:

0.84306608

Step-by-step explanation:

The probability of an event, e, occurring exactly r times over n trials follows the formula

(n combination r) * p^r * q ^ (n-r)

with p being the probability the event will occur and q being the probability the event will not occur.

I assume you have a calculator/can find one online that can do combinations.

Here, we want to figure out if you get:

- 0 tails

- 1 tail

- 2 tails

If you get 3 or 4 tails, we are getting more than the 2 tails desired

For 0 tails:

- p is the probability a tail will occur = 0.38

- we want it to occur 0 times, so r = 0

- q is (1-p) = 1- 0.38 = 0.62

- we have 4 trials, as we flip it 4 times

(n combination r) * p^r * q ^ (n-r) = (4 combination 0) * (0.38) ^0 * (0.62) ^(4-0) = 1 * (0.38) ^0 * (0.62) ^(4-0) = 0.14776336

For 1 tail:

- p = 0.38, q = 0.62 as with 0 tails

- r = 1, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 1) * (0.38) ^1 * (0.62) ^(4-1) = 4* (0.38) ^1 * (0.62) ^(4-1) = 0.36225856

For 2 tails:

- p = 0.38, q = 0.62 as with 0 tails

- r = 2, n = 4

(n combination r) * p^r * q ^ (n-r) = (4 combination 2) * (0.38) ^1 * (0.62) ^(4-2) = 6* (0.38) ^2 * (0.62) ^(4-2) = 0.33304416

add our 3 probabilities together

0.33304416 + 0.36225856 + 0.14776336 = 0.84306608 as our answer

Answer:

60%

Step-by-step explanation:

(4-2.5):2.5*100 =

(4:2.5-1)*100 =

160-100 = 60

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

To get more about quadratic equations visit:

https://brainly.com/question/1214333

After 6 years Carmen has received $6,554.52 in dividends.

Given that  Carmen buys 153 shares of cash consolidated banks each of which pays a constant yearly dividend of $7.14.

The dividend policy in which the percentage of earnings paid in the form of dividends is held constant

The yearly dividend of $7.14 for Carmen buys 153 is given by

153 shares x $7.14 = $1,092.42

Therefore for has carmen received in dividends $1,092.42.

Therefore for 6 years, he received

$1,092.42 x 6 = $6,554.52

Therefore, after 6 years Carmen has received $6,554.52 in dividends.

To learn more about the shares visit:

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The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

Multipiciation is the process of combining numbers or vectors together in order to determine their product. Multiplication is represented with this sign: x.

The total cost of attending the college for four years = cost per year x total number of years

$14,500 x 4 = $58,000

To learn more about multiplication, please check: https://brainly.com/question/3385014

Answer:

75.2

Step-by-step explanation:

You first multiply 7.72 by 10, which is equal to 77.2. Now it's basic math; subtract 77.2 and 2, it equals to 75.2.

Answer:

0.0772

Step-by-step explanation:

Answer:

V≈1649.34

this is the solution

V=πr2h

3=π·152·7

3≈1649.33614

Answer:

B is the answer Hope this helps

Answer:

do you have a picture so I can see more information

Answer:

Step-by-step explanation:

In the question we are given with ,

And we are asked to find the perimeter of rectangle . As we know that ,

[tex] \red {\boxed{\rm{Perimeter \: of \: rectangle = 2 ( L + W ) }}}[/tex]

Where ,

Substituting values of length and width in formula :

[tex] \longmapsto \: 2(28 + 9)[/tex]

Step 1 : Solving the parenthesis :

[tex] \longmapsto \: 2(37)[/tex]

Step 2 : Multiplying 2 and 37 :

[tex] \longmapsto \: \red{ \boxed{74 \: cm}}[/tex]

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

Answer:

where is the prism? did u attach a photo of it

Step-by-step explanation:

angle pqs = angle qsr (alternate interior angles are equal in a parallelogram).

thus,

angle qsr = 58 degrees

Answer:

[tex] \: [/tex]

Step-by-step explanation:

And, it is given that the measure of ∠PQS is 58°.

So,

[tex] \bf \qquad∠QSR = ∠PQS \\ \\ [/tex]

[tex] \bf \qquad \implies∠QSR = 58° \: \: [Alternate \: interior \: angles] \\ \\ [/tex]

Let's know something about Alternate interior angles :

Answer:

A

Step-by-step explanation:

A)(m+8)(2 ÷3)

Because 2/3 is just 2 divided by 3

Brainliest please?

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

Answer:

Yes, because the gap is one less than the bigger of the two integers, plus you are adding a little bit more to the bigger integer so the sum will always be bigger than the difference.

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

For more about logarithm

https://brainly.com/question/20785664

#SPJ2

Answer:

x=2

Step-by-step explanation:

hope this helps

not sure if im right <3

Answer:

300

Step-by-step explanation:

rounding to hundreds place means you look at the middle digit in this case. If the digit is 5 or greater, then you round your first digit up, but in this case the number (4) is less than 5, we round down. By rounding down we would get 300.

In the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of the number are written together. For example,

[tex]a+bi[/tex]

Here, (a) is the real part while (b) is the imaginary part.

The difference of two number is given as,

[tex]4-10i[/tex]

Compare it with the real number form, we get,

[tex]a=4\\b=-10[/tex]

Thus, in the difference 4-10i, the real part of the difference is 4 and the imaginary part of the difference is -10.

Learn more about the complex number here;

https://brainly.com/question/2218826

Answer:

4 and then -10i

Step-by-step explanation:

Found correct in Edge.

Answer:

x=1.082682

Step-by-step explanation:

Answer:

B. 57.87 kilometers

Step-by-step explanation:

Since Jason walked the trail 9 times, we multiply the length of the trail by the times he walked.

So, 6.43 x 9.

This is equal to 57.87.

Answer: Below

Step-by-step explanation:

So let's actually make a readable expression first.

[tex]\frac{8\sqrt{3} }{\sqrt{5} }[/tex]

We first want to rationalize denominators (turning the denominator into an integer),so multiply both the numerator and denominator by sqrt(5). This method is called the big one, and doesn't change an expression since sqrt(5)/sqrt(5) = 1.

[tex]\frac{8\sqrt{3} }{\sqrt{5} } * \frac{\sqrt{5} }{\sqrt{5} } = \frac{8\sqrt{3}\sqrt{5} }{5} = \frac{8\sqrt{15} }{5 }[/tex]

This is our simplified equation.

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

[tex]\left(\sqrt[6]{2xy^5}\right)^7\\\\\\=\left[\left( 2xy^5\right)^\tfrac 16 \right]^7\\\\\\=\left(2xy^5\right)^{\tfrac 76}[/tex]

The value of the constant of variation is one-fourth. Then the correct option is A.

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

More about the constant of variation link is given below.

https://brainly.com/question/14254277

Answer:

Keep it simple. Answer: A

Step-by-step explanation: