ABCD is a rectangle AB=2x+4 AD=4x-2 DC=3y BC=y solve for x and y

height of sign = x

length of sign shadow = 7m

For sign:-

[tex]tan \theta = \frac{p}{b} = \frac{height}{shadow} = \frac{x }{7} [/tex]

height of man = 1.6m

length of man shadow= 4m

For man :-

[tex] \tan\theta = \frac{p}{b} = \frac{height}{shadow} = \frac{1.6}{4} [/tex]

tanθ is same bez sun is at same level (angle) for both of them

So according to questions :-

[tex] \tan( \theta) = \frac{x}{7} = \frac{1.6}{4} \\ \frac{x}{7} = \frac{ \cancel{1.6}^{ \: \: 0.4} }{ \cancel4} \\ x = 7 \times 0.4 \\ x = 2.8m \: [/tex]

so we can say height of the sign = x = 2.8 m

6/7

Hi there !

18 : 21 = 18⁽³/21 = 6/7

Good luck !

Answer:

(2)3 • (2x - y)3

Step-by-step explanation:

Put the exponent aside and simplify the base by pulling out like factors

4x-2y  =  2 • (2x-y)

Remember the 4th law of exponents : (a • b)m= am• bm

Retract the exponent and apply the 4th law to the simplified base: ( 2 • (2xy) )3 =  (2)3 • (2x-y)3  

Step-by-step explanation:

Check second one

[tex]\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(-x+3)}[/tex]

So

[tex]\\ \rm\Rrightarrow -x+3>0[/tex]

[tex]\\ \rm\Rrightarrow -x>-3[/tex]

[tex]\\ \rm\Rrightarrow x<3[/tex]

Hence.

Domain is restricted

Option B is correct

Hey there!

In order to factorise an expression, we need to factor out the greatest common factor (divide all the terms in the expression by the greatest common factor):

6ac-4ad

In this case, the greatest common factor is 2a.

Put it outside the parentheses:

2(3c-2d)

That's the answer.

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

2.016 x 10^3

Standard form must have a single digit number x10 to the power of a number.

Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.

Answer and  explanation:

Possible domain of function includes from number one person attending to number 5 person attending

Find attached

[tex]Answer:[/tex]

The first equation is simply just 7 + [tex]number[/tex]

The second equation, however, is saying -7 times [tex]number[/tex] plus 1

A negative number times a positive number is always a negative number. The negatives cancel out.

Answer:

Negative

Step-by-step explanation:

The slope is negative because as the x values increase, the y values decrease. If the line was going upward as the x values increase, it would be positive. If the line would be straight accross, it would be zero because the x values increase and the y values decrease.

Have an amazing day!!

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Answer:

this is true I some cases but not all teens are the same

Step-by-step explanation:

Answer:

Refute/Disagree

Step-by-step explanation:

My answer(I did the test): I refute the authors claim. The chart clearly shows that at the end 16 year olds and 17 year olds are both at the same rate if likeness of committing a moving violation. The least likely to commit a moving violation during the first 8 months is the 16 year old and 6 month drivers. You can find a more accurate answer by adding up all the percentages for each age and then divide it by 8 (months), this number is the overall percentage for the 8 months.  

Answer:

th e answer is E. 4

Step-by-step explanation:

Answer:

hello

8 x² + 2 x + 4 = 0

Δ = 4 -  4 ( 8 * 4 ) = 4 - 128

Δ < 0  =  no solutions

Step-by-step explanation:

Answer:

if it is the circles it is 64

Step-by-step explanation:

if the shaded area is the circles than it is 64

Step-by-step explanation:

b.

[tex]( \sqrt{x + 2} ) { }^{2} =( 5) { }^{2} \\ \\x + 2 = 25 \\ x = 25 - 2 \\ x = 23 [/tex]

Answer:C =$65 + $30G

Step-by-step explanation:

Given that :

Base fee charge = $65

Overage charge = $30 / per gigabyte for data that exceeds 2 gigabyte

C = cost ; G = total amount of gigabyte

Equation to represent plan; if more than 2 gigabyte are used :

Cost (C) = Base charge + (average charge * amount of gigabyte)

C = $65 + ($30 * G)

C =$65 + $30G

Answer:

[tex]p = 37.6991118431[/tex]

Step-by-step explanation:

the perimeter of a half circle:

[tex]\pi r = \frac{d}{2} \pi = 3\pi = 9.4247779608[/tex]

there's the total of 4 half circle:

[tex]p = 9.42477796078 \times 4 =37.6991118431[/tex]

Answer:

C

Step-by-step explanation:

Just got an A+ everything right

Answer:

C

Step-by-step explanation:

simplifying c gives us 5/8x + 2.5 = 5/8x + 1.5 , which then gives us

2.5=1.5 , which is impossible, so it must be c

Answer:

5.99

Step-by-step explanation:

Answer:

48 or 24

Step-by-step explanation:

Answer:

help me

Step-by-step explanation:

(A.) If a polygon is a pentagon, then it has five angles.

The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."

Option C is the correct answer.

A pentagon is a polygon that has five sides and five angles.

The sides and angles of a pentagon are not all equal unless it is a regular pentagon.

A regular pentagon has five equal sides and five equal angles.

We have,

The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion.

In this case, we negate the statement "a polygon has five angles" to "a polygon does not have five angles," and negate the statement "it is a pentagon" to "it is not a pentagon."

Thus,

The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."

Learn more about the Pentagon here:

https://brainly.com/question/30182047

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Answer:

Step-by-step explanation:

Let's create some equations first.

Say M = number of months, T = Todd and S = Sally.

We know that Todd starts with 8 cds and sally starts with 18 cds.

This means when M= 0,  T = 8 and S = 18

After one month (M = 1), Todd adds 9 cds.

This means can write the following equation:

T = 8 + 9M

So after the first month (where M = 1), we can find out that Todd has

T = 8 + 9 x 1 = 8 + 9 = 17 cds

For Sally, we know she adds 7 cds per month.

S = 18 + 7M

After one month (M = 1),

S = 18 + 7 x 1 = 25 cds.

Now we are trying to find when they will have the same number of cds and how many.

This means we are trying to figure out what M = ? when Todd and Sally are equal.

So we want to find when T = S

Remember, earlier we wrote :

T = 8 + 9M

S = 18 + 7M

If T = S, this means:

8 + 9M = 18 + 7M

Gather the like terms and solve for M.

Subtract 8 from both sides.

9M = 10 + 7M

Subtract 7M from both sides

2M = 10

Divide both sides by 2

M = 5.

So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).

Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.

T = 8 + 9M

T = 8 + 9 x 5

T = 53

Therefore, after 5 months Todd and Sally will have 53 cds each :)

Answer:

a sandwich = $30

Step-by-step explanation:

Reason why is because when it added 2 more sandwiches it added 70 with 30 2 times which equals 130.

Answer:

235 cm²

Step-by-step explanation:

Area can be split into top and bottom rectangles.

Area = 11 x (14 - 9) + 9 x 20

= 11 x 5 + 180

= 55 + 180

= 235 cm²

The width of each ring in the redwood trees of coastal California is 0.06 inches.

According to the statement, we know that age of a tree and base diameter are directly proportional to the number of rings. The width of the ring is estimated by dividing the radius of the tree base by the age of the tree:

[tex]w = \frac{10\,ft \times 12\,\frac{in}{ft} }{2000}[/tex]

[tex]w = 0.06\,in[/tex]

The width of each ring in the redwood trees of coastal California is 0.06 inches. [tex]\blacksquare[/tex]

The statement in incomplete, correct form is shown below:

Each year of its life, a tree grows a new ring just under the outside bark. The new ring consists of two parts, light-colored springwood, when the tree grows the fastest, and a darker-colored summerwood, when growth slows. When conditions are good and there is lots of sun and rain, the new ring is thicker than the rings formed when there is drought or excessive cold. At the center of the tree is a dark circle called pith that is not connected to the age of the tree.

The redwood trees of coastal California are the tallest living things on earth. On redwood is 350 feet tall, 20 feet in diameter at its base, and around 2000 years old. Assume that the lower 50 feet of the tree form of the tree form a cylinder 20 feet in diameter and that all of the rings grew at the same rate.

How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches.

To learn more on trees, we kindly invite to check this verified question: https://brainly.com/question/13604529

Answer:Bill did

Step-by-step explanation:

12.5x10=125

Answer:

[tex]xy(y+x)(y-x)[/tex]

Step-by-step explanation:

Given expression:

[tex]xy^3-x^3y[/tex]

Factor out the common term [tex]xy[/tex]:

[tex]\implies xy(y^2-x^2)[/tex]

Apply the Difference of Two Squares formula   [tex]a^2-b^2=(a+b)(a-b)[/tex]:

[tex]\implies xy(y+x)(y-x)[/tex]

Answer:

A

Step-by-step explanation:

Convert to x in terms of y.

3x + 6y = 12

Divide by 3.

x + 3y = 4

Subtract x.

3y = -x + 4

Divide by 3.

y = (-1/3)x + 4

The slope is -1/3 here. A parallel line would have the same slope.

So the slope of the parallel line is -1/3

Hope this helps