easy geometry question about rhombus/measures :))

Answer:

The scale factor is 4

Step-by-step explanation:

Given

See attachment for parallelograms

Required

Determine the scale factor (k)

Using sides FG and F'G' as a point of reference:

[tex]FG = 2\ units[/tex]

[tex]F'G' = 8\ units[/tex]

The scale factor (k) is calculated as:

[tex]k = \frac{New}{Original}[/tex]

[tex]k = \frac{F'G'}{FG}[/tex]

[tex]k = \frac{8\ units}{2\ units}[/tex]

[tex]k = 4[/tex]

▶️a = √196

▶️a = 14

▶️ 14² = 14×14

▶️ 14² = 196

hence , 14 is the answer..

Answer:

x=15

Step-by-step explanation:

x=√(12)²+(9)²

x=√144+81=√225

x=15units

Answer:

1793.75 m²

Step-by-step explanation:

Given that :

Total amount of land leased = 2050 m²

Fraction of land given to brother = 1/8

Amount of land given to brother :

1/8 * 2050 = 256.25 m²

Amount of land left :

2050 m² - 256.25 m²

= 1793.75 m²

Answer:

Step-by-step explanation:

They give you the equation and wish that you evaluate that expression by terms provided. You need only to substitue the values given into the equation

a)3(2^1)=3(2)=6

b)3(2^4)=3(16)=48

Answer:

a. 3 x 2^1 = 6

b. 3 x 2^4 = 48

Step-by-step explanation:

You basically just fill in the "t" spot with 1 and 4 and then solve it from there.

Hope this helped!!

Answer:

n = 3x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the number of chops is n and h(n) is the number of heads.

After the first chop and consecutive chops the number of heads are:

Answer:

4 sq units

Step-by-step explanation:

2 un x 2 un = 4 sq uints

Answer:

27ft^3

Step-by-step explanation:

3^3 is 27

Answer:

A

Step-by-step explanation:

The constant of proportionality is the ratio between the two proportional variables in a directly proportional relationship. In this case, the variables are [tex]x[/tex] and [tex]y[/tex].

To find the constant of proportionality, all we have to do is divide any value of [tex]y[/tex] by its corresponding value of [tex]x[/tex]. Let's take the values in the first row of the table. We know that [tex]x=2[/tex] and [tex]y=12[/tex], so the constant of proportionality is [tex]\frac{y}{x}=\frac{12}{2} =6[/tex]. Hope this helps!

Answer:

the answer is c. next time figure it out on your own..

Answer:

n = - 12

Step-by-step explanation:

n/9 + 2/3 = - 2/3

n/9 = - 2/3 - 2/3

n/9 = - 4/3

n = 9(- 4/3)

n = -36/3

n = - 12

Answer:

[tex]d. \: \: \: 25 {x}^{6} [/tex]

Step-by-step explanation:

Given,

Side of the square

[tex] = 5 {x}^{3} [/tex]

Therefore, area of the square = side × side

[tex] = {5x}^{3} \times 5 {x}^{3} [/tex]

[tex] = 5 \times 5 \times {x}^{3 + 3} [/tex]

[tex] = 25 {x}^{6} [/tex]

Given:

[tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex].

To find:

The solution for the given division problem.

Solution:

We have, [tex]\dfrac{2}{10}[/tex] divded by [tex]\dfrac{2}{4}[/tex]. It can be written as

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{10}\times \dfrac{4}{2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2\times 4}{10\times 2}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{8}{20}[/tex]

[tex]\dfrac{2}{10}\div \dfrac{2}{4}=\dfrac{2}{5}[/tex]

Therefore, the solution for the given division problem is [tex]\dfrac{2}{5}[/tex].

Answer:

1 1/5 gallons is 6/5 volume of 1 gallon. Therefore, 8 1/3 * 6/5 = 25/3 * 6/5 = 150/15 = 10 lbs.

Step-by-step explanation:

Answer:

Not 95%

Step-by-step explanation:

The normal distribution is also known as the Gaussian distribution. About 99.7% of the trees have ages between 10 years and 70 years.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Given that the age of the tree is normally distributed. Also, the following details are known,

Standard Deviation, σ = 10 years

Mean, μ = 40

Now, the z-score and the p-values for the value of 70 and 10 can be written as,

Z = (X-μ)/σ

Z = (70 - 40)/10

Z = 3

The p-value for z-score of 3 is 0.9987.

Z = (X-μ)/σ

Z = (10 - 40)/10

Z = -3

The p-value for z-score of -3 is 0.0013.

Further, the percentage of the trees have ages between 10 years and 70 years is,

Percentage = 0.9987 - 0.0013

                   = 0.9974

                   = 99.7%

Hence, About 99.7% of the trees have ages between 10 years and 70 years.

Learn more about Normal Distribution:

https://brainly.com/question/15103234

#SPJ2

Answer:

$14.00

Step-by-step explanation:

First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Answer: $14.00

Step-by-step explanation: First take $20 and divide by 100. Then you multiply by 30 to get the reference which was $6. If the sweatshirt was $20 and the reference was $6, you would subtract $20 - $6 and get $14.

Current ages:

Let Kaylan's present age be x years

Since his age is a third of his mother's present age:

mother's age * (1/3) = Kaylan's age

mother's age * (1/3) = x        

mother's age = 3x                                     [multiplying both sides by 3]

Kaylan's mother's age would be 3x years

Their ages 6 years ago:

Kaylan's age: x-6 years

Mother's age: 3x-6 years

We are told that mother's age was 5 times Kaylan's age, 6 years ago. So,

5*(Kaylan's age 6 years ago) = (Mother's age 6 years ago)

replacing the values

5(x - 6) = 3x-6

5x - 30 = 3x-6

2x - 30 = -6                                             [subtracting 3x from both sides]

2x = 24                                                    [adding 30 on both sides]

x = 12                                                       [dividing both sides by 2]

Hence, x = 12

Kaylan's present age(x) = 12 years

Mother's present age(3x) = 3*12 = 36 years

Answer:

Step-by-step explanation:

hope this helps

Answer:

$40,000 Car Loan. Calculate the Monthly Payment.

Step-by-step explanation:

Answer:

3.13 years

Step-by-step explanation:

if that 12 percent was how much is depreciated each year

Answer:

B and D are correct.

Step-by-step explanation:

To find the area of a rectangle, simply multiply its length by its width. In this case, the length of the rectangle is [tex]5[/tex] m and the width of the rectangle is [tex]3[/tex] m, so its area must be [tex]5*3=15[/tex] square meters.

To find the area of a triangle, divide the product of the triangle's base and height by [tex]2[/tex]. As an algebraic expression, that would be [tex]\frac{bh}{2}[/tex], where [tex]b[/tex] and [tex]h[/tex] are the triangle's base and height, respectively. In this case, [tex]b=6[/tex] and [tex]h=5[/tex], so the triangle's area is [tex]\frac{6*5}{2}=15[/tex] square meters.

Now, let's look at the statements.

A: The triangle's area is [tex]15[/tex] square meters, not [tex]30[/tex], so A is incorrect.

B: The rectangle's area is [tex]15[/tex] square meters and the triangle's area is also [tex]15[/tex] square meters. Because the two figures have the same areas, their areas are equal, so B is correct.

C: We've already established that the two figures have equal areas, so one can't have a greater area than the other. Therefore, C is incorrect.

D: The rectangle's area is indeed [tex]15[/tex] square meters, so D is correct.

Hope this helps!

Answer:

B is correct, and D is correct

if you multiply 3 times 5 you get 15 m which is the area for the rectangle, then you have to find the area for the triangle, which you would have to multiply 6 times 5 which you get 30, then divide 30 by 2, which would be 15!

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

Answer:

28

Step-by-step explanation:

28

Explanation:

Let the first integer be

n

Then the sum is

n

+

(

n

+

1

)

+

(

n

+

2

)

=

81

Giving

3

n

+

3

=

81

⇒

3

n

=

78

⇒

n

=

78

3

=

26

Thus the largest integer

→

n

+

2

=

26

+

2

=

28

Answer:

18x^2 + 60x + 50

Answer:

wdym???????

Step-by-step explanation:

Answer:

a.) distributive property

b.) combining like terms

c.) cumutitative property

Answer:

which class you read now

Answer:

see explanation

Step-by-step explanation:

Given

2t - [tex]\sqrt{2}[/tex] = 3t + [tex]\sqrt{2}[/tex] ( add [tex]\sqrt{2}[/tex] to both sides )

2t = 3t + 2[tex]\sqrt{2}[/tex] ( subtract 3t from both sides )

- t = 2[tex]\sqrt{2}[/tex] ( multiply both sides by - 1 )

t = - 2[tex]\sqrt{2}[/tex]

-----------------------------------------------------------

Given

(- x + 2[tex]\sqrt{3}[/tex] )(- 3x - [tex]\sqrt{2}[/tex] ) = 0

Equate each factor to zero and solve for x

- x + 2[tex]\sqrt{3}[/tex] = 0 ( subtract 2[tex]\sqrt{3}[/tex] from both sides )

- x = - 2[tex]\sqrt{3}[/tex] ( multiply both sides by - 1 )

x = 2[tex]\sqrt{3}[/tex]

- 3x - [tex]\sqrt{2}[/tex] = 0 ( add [tex]\sqrt{2}[/tex] to both sides )

- 3x = [tex]\sqrt{2}[/tex] ( divide both sides by - 3 )

x = - [tex]\frac{\sqrt{2} }{3}[/tex]

my friend this question is wrong how can Matthew have 87 in his bank account and spend 112 on books