A street light is at the top of a 15 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the length of her shadow increasing when she is 50 ft from the base of the pole

Answer:

14. x=16, 15. x=9

Step-by-step explanation:

14.

4x+4=7x-44 by alternate exterior angles

3x=48

x=16

15.

15x-26=12x+1 by alternate exterior angles

3x=27

x=9

Answer: c

Step-by-step explanation:

The correct answer is option C i.e. all of the options

Question : Why did I choose the answer as option C

Reason : To assure it we'll match all the options with the figure

First of all in the given figure all the sides and angles are equal hence, we can refer it as regular

Secondly, It is convex because all the parts are pointing outwards and inner ones are not more than 180°

Finally, As it has 8 sides it is an octagon

Now, we can see all the three options are matching leaving C which states all of these options, hence C is correct

1) What is Octagon ?

ans :- Octagon is an 8 sided polygon

2) What is a regular polygon ?

ans :- Any polygon which has equal angles and sides is known as a regular polygon.

3) What is convex ?

ans :- A convex is a shape where all the parts points outwards and interior angles are not more than 180°

Answer:

Step-by-step explanation:

Given,

[tex] {x}^{8} = {( {2}^{2} )}^{4} [/tex]

Since,

[tex] { ({a}^{x} )}^{y} = {a}^{xy} [/tex]

Then,

[tex] = > {x}^{8} = {2}^{2 \times 4} [/tex]

[tex] = > {x}^{8} = {2}^{8} [/tex]

(Since the exponents are same so the bases will be also same)

Therefore,

=> x = 2

As per condition,

[tex] {x}^{2} [/tex]

(Putting value of x = 2)

[tex] ={2}^{2} [/tex]

= 4 (Ans)

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

Using proportions, it is found that Lennox gets 2.5 dollars per kilogram.

During each week:

Hence, the amount of kilograms delivered each week are:

[tex]A = 3(50)(12) = 1800[/tex]

He sells 4500 dollars each week(1800 kilograms), hence, the amount of dollars per kg is:

[tex]D = \frac{4500}{1800} = 2.5[/tex]

Lennox gets 2.5 dollars per kilogram.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:0.50

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Option A is correct. Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations.

Answer: Correct

Sagan scored higher than Andrea. Sagan's standardized score was 2.2, which is 2.2 standard deviations above the mean and Andrea's standardized score was 1.4, which is 1.4 standard deviations above the mean.

Step-by-step explanation: No clue:)

Answer:

[tex]\boxed{\sf a) \ 120 \ km^2}[/tex]

Step-by-step explanation:

The surface area is the total area of the faces added together.

Area of 2 triangles + Area of 3 rectangles

The two cross-sections are the triangles.

Area of triangle = base × height × 1/2

Area of a rectangle = length × width.

4 × 3 × 1/2 + 4 × 3 × 1/2 + 9 × 3 + 9 × 4 + 9 × 5

6 + 6 + 27 + 36 + 45

= 120

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2  (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract  and the answer is 51

Answer:

[tex]83 - 4 \times {(6 - 4)}^{3} \\ = 83 - 4 \times {(2)}^{3} \\ = 83 - 4 \times 8 \\ = 83 - 32 \\ = 51 \\ thank \: you[/tex]

Answer:

22.02

Step-by-step explanation:

14.8+6.25+0.97 is 22.02

don't know what you mean by simplify

Answer:

discuss this question is about packhouse a small plant can travel 400 kilometre aur 2000 kilometre find the speed with a plan with no wind and a speed on the answer you will be given to you divide 5 400 the four hundred and 51 you divide the answer to get dawat 310 you will find the extra answer

Answer:

a. major arc

b. minor arc

c. semi circle

d. central angle

Answer:

The sales tax rate is 5%.

Step-by-step explanation:

To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.

Answer:

$1.89

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts

1 gallon = 8 pints

2 gallons = 16 pints

Divide the cost of the fabric softener by 16 to find the price per pint.

$30.24/16 = $1.89

The fabric softener costs $1.89 per pint.

Answer:

$1.89

Step-by-step explanation:

one gallon= 8 pints

two gallons= 16 pints

Therefore, we divide 16 from $30.24

30.24/16= $1.89

Hopefully this answer helps!

Answer:

domain- (0, infinity) range- (1, infinity)

Step-by-step explanation:

Answer:

[tex]\large \boxed{\mathrm{seven }}[/tex]

Step-by-step explanation:

[tex]7^2[/tex]

A number squared also means that the number is multiplied by itself twice.

[tex]7^2 =7 \times 7[/tex]

Answer:

2' 3"

Step-by-step explanation:

Here 4' 1" − 1' 10" is certainly possible, but to carry out this operation we must borrow 1', or 12", from 4' 1":

4' 1" becomes 3' 13", and so the original problem becomes

3' 13" - 1' 10"

which in turn becomes 2' 3"

Answer:

133

Step-by-step explanation:

7 * 19

Rewrite 19 as 20 -1

7 * (20-1)

Distribute

7*20 - 7*1

140 - 7

133

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]

the smallest value of x to make 55x a perfect square is....

[tex]x = 11 \times 5 = 55[/tex]

Therefore the number is.... .

[tex]55x = 55(55) = 3025[/tex]

sweet right

Answer:

[tex]\Huge{\fbox{\red{Attachment}}}[/tex]

#Be Brainly

Answer:

the number of parts is going to be

= 15 parts

Step-by-step explanation:

A basketball pitch can be divided into twelve(12) parts , each part of equal length of twenty five (25) centimeters.

The initial and total length of the basketball pitch = 12*25

The initial and total length of the basketball pitch = 12*25

The initial and total length of the basketball pitch = 300 cm

So if it's now divided into parts of each 20 cm ,

the number of parts is going to be

= 300/20

the number of parts is going to be

= 15 parts

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Step-by-step explanation:

The domain is the values that x takes

X goes from -5 included to 1 not included

-5 ≤x<1

The range is the values that y takes

y goes from -4 included to 7  not included

-4 ≤y<7

Answer:

Domain -5 ≤x<1

Range -4 ≤y<7

Please mark me as brainliest :)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

This is in slope intercept form

y = mx+ b  where m is the slope and b is the y intercept

32 is the slope

Parallel lines have the same slope so 32 would be the slope of  the parallel line

Perpendicular lines have slopes that multiply to -1

m*32 = -1

m = -1/32

The slope of the perpendicular line is -1/32

Answer:

Step-by-step explanation:

Assuming that the shape of the table be rectangular in nature.

Area of the study table = Length * Breadth

Area of the study table = 2m * 1.25m

Area of the study table = 200cm * 125cm (since 100cm = 1m)

Area of the study table = 25000cm²

If the study table is decorated with square design of size 10cm x 10cm, the area of one square design is 100 cm².

The number of such square designs = Area of the study table/area of one square design

The number of such square designs = 25000cm²/100cm²

The number of such square designs = 250

Hence the number of such design is 250

Answer:9/5

Step-by-step explanation:

Answer:

12 Pencils Sharpened

Step-by-step explanation:

Since the sharpener receptacle is emptied out 2 times every day.

Do 24*2 to get 48 pencils sharpened each day.

Now do 48/20 to get how many pencils a single person sharpens each day. Resulting in 2.4 pencils each day for 1 person.

Multiple 2.4 by 5 (Amount of days) to get 12 pencils in 5 days.

Answer:

A = 27π cm² or about 84.8 cm²

Step-by-step explanation:

Area of a full circle is πR²

As there are four right angles making up a 360° turn, and the missing piece is one of those four, there are ¾ of a circle remaing

A = ¾πR² = ¾π6² = 27π cm² or about 84.8 cm²

Answer:

x= 31.8

Step-by-step explanation:

22/sin(75) = 12/sin(x)

or, 22/(12×sin(75)) = 1/sin(x)

or, sin(x) = 12×sin(75)/22

or, x = arcsin(12×sin(75)/22)

or, x = 31.8 (rounded to the nearest tenth)

Answer:

the answer is 5

Step-by-step explanation:

2x/5 - 9 = -7

2x/5      = -7 + 9

2x/5      = 2

2x         = 2 * 5

2x         = 10

x            = 10/2

x            = 5

Answer:

x = 5

Step-by-step explanation:

2

--- x - 9 = -7              add 9 both sides

 5

2

--- x - 9 + 9 = -7 + 9      

 5

2

--- x = 2             multiply both sides by 5

 5

    2

5 * --- x = 2 * 5

     5

2x = 10

x = 10 / 2

x = 5

Answer:

See below.

Step-by-step explanation:

The question doesn't ask you to find the area, it just ask for the expression that represents the area.

The area of rectangle is A=bh, where b and h are each of the side lengths.

Since we know the sides are (2x+7) and (5x+9), this means that the expression for the area of the rectangle is:

[tex](2x+7)(5x+9)[/tex]

To find the degree and classification, expand the factors:

[tex]=(2x+7)(5x+9)\\=(10x^2+18x+35x+63)\\=10x^2+53x+63[/tex]

Thus, this is a second degree quadratic expression

And from Part A, when we multiplied (2x+7)(5x+9), we got another polynomial (10x^2+52x+63). Thus, this rerepresents the closure property of polynomials, where multiplying a polynomial by another gets another polynomial.

.

Answer:

see below

Step-by-step explanation:

Part A

(2x+7) ( 5x+9)

Foil

first 2x*5x = 10x^2

outer: 2x*9 = 18x

inner: 7*5x= 35x

last: 7*9 = 63

Add together

10x^2 +18x+35x+63

10x^2+53x+63

Part B

This is a second degree polynomial called a quadratic

Part C

When we multiply two polynomials together, we get another polynomial.  This is the closure property for multiplication of polynomials

Answer:

An E

Step-by-step explanation:

Answer:

e comes in every odd number

i.e. one,three,five,seven,nine,eleven......

Step-by-step explanation: