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The height of the person is approximately 0.426 meters or 42.6 cm.

We can use the concept of similar triangles to solve this problem. The height of the building and the length of its shadow form a right triangle, with the height as the opposite side and the shadow as the hypotenuse. The person and their shadow also form a similar right triangle, with the height of the person as the opposite side and the shadow as the hypotenuse.

We can set up the following proportion:

(Height of building)/(length of shadow) = (height of person)/(length of shadow)

48/30 = h/0.8

Solving for h, we get:

h = (48/30) * 0.8 = 0.533 * 0.8 = 0.426

Therefore, the height of the person is approximately 0.426 meters or 42.6 cm.

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Answer:

20 cubic inches

Step-by-step explanation:

[tex]1 * 4 * 5 = 20[/tex]

After evaluating the value of 8 + w/4 = 12.

In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.When performing calculations but unsure of the precise amount, algebra is used.

Equations come in two varieties which are  identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true.

as the details given,

the equation given is 8 + w/4

the value of w is 16

by placing the value of w in the given equation we get

=> 8 + 16/4

=> 8 + 4

=> 12

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Answer:

-33

Step-by-step explanation:

Given algebraic expression:

[tex]5c-9c+3[/tex]

To simplify the given algebraic expression using c = 9, substitute the given value of "c" into the expression and solve:

[tex]\implies 5(9)-9(9)+3[/tex]

[tex]\implies 45-81+3[/tex]

[tex]\implies -36+3[/tex]

[tex]\implies -33[/tex]

Answer:

[tex] \sf \: 5c - 9c + 3 = - 33[/tex]

Step-by-step explanation:

Given information,

→ 5c - 9c + 3

→ where c = 9

Let's simplify the expression,

→ 5c - 9c + 3

→ 5(9) - 9(9) + 3

→ (5 × 9) - (9 × 9) + 3

→ 45 - 81 + 3

→ 45 - 78

→ -33 => final value

Hence, the final value is -33.

Answer:

-14.120 Radians

Step-by-step explanation:

To convert, use this angle degrees to radians formula:

Radians = Degrees x ( Pi / 180)

Try using this formula

Answer:

1004 is the smallest four-digit palindrome that is divisible by 4.

Answer:

106.8

Step-by-step explanation:

72 × 2 = 34

34 × 3.14 or

[tex]\pi[/tex]

106.76 round to the nearest tenth

= 106.8

Using the slope concept, it is found that the approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the height of the tree, of 18 feet, while the shadow of 25 feet is the horizontal change, hence:

[tex]\tan^{\theta} = \frac{18}{25}[/tex]

[tex]\theta = \tan^{-1}{\frac{18}{25}}[/tex]

[tex]\theta = 35.75[/tex]

The approximate angle of elevation from the end of the shadow to the top of the tree with respect to the ground is of 35.75º.

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Between the 100th and 400th kilometers, the average fuel consumption rate is 5/6 liters per kilometer.

A consequence of dividing the variation in a variable's function by the variation in the variable. For example The rate at which a distance changes in relation to time is known as velocity.

Given, Devin drove her truck. The fuel remaining in the truck's tank (in liters) as a function of distance (in kilometers) is graphed.

Since in the domain [100, 400] graph shows somewhat linear properties.

from the graph Fuel consumption at 100 = 375 liters

Fuel consumption at 400 = 125 liters

rate in a linear function between two points = (y₂ - y₁)/ (x₂ - x₁)

thus rate between [100, 400] = (375-125)/400-100

rate between [100, 400]  = 250/300

rate between [100, 400] = 5/6litere per kilometer

therefore, the average fuel consumption rate, between the 100th kilometer and 400th kilometer is 5/6 liters per kilometer.

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Answer:

C .10

Step-by-step explanation:

Answer:

12.

V. E=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Step-by-step explanation:

1-a^16=(1-a^8)(1+a^8)

1-a^8=(1-a^4)(1+a^4)

1-a^4=(1-a^2)(1+a^2)

1-a^2=(1-a)(1+a)

1-a^16=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Answer:

-51

Step-by-step explanation:

hope it helps you! good luck!

Answer:

me mataste

Step-by-step explanation:

Answer:

x° = 48°

Step-by-step explanation:

In order to solve this, we need to know that the sum of all inner angles of the triangle is equal to 180°. Based on this diagram we know that...

180° = 90° + 42° + x°

From here we know that...

x° = 180° - 90° - 42°

x° = 48°

Answer:

12

Step-by-step explanation:

11, 11, 13, 13, 12, 13, 11, 12, 10, 13

Put the numbers in ascending (increasing) order.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

If there is an odd number of numbers, the median is the number in the middle.

There are 10 numbers which is an even number of numbers.

For an even number of numbers, the median is the mean of te two middle numbers.

10, 11, 11, 11, 12, 12, 13, 13, 13, 13

The two middle numbers are 12 and 12.

The mean of 12 and 12 is (12 + 12)/2 = 12

Answer: 12

Answer: [tex]54\ in.[/tex]

Step-by-step explanation:

Given

The volume of the toolbox is [tex]9072\ in.^3[/tex]

The height of the toolbox is [tex]h=14\ in.[/tex]

The width of the toolbox is [tex]w=1\ ft\ or\ 12\ in.[/tex]

Suppose the length of the box is [tex]l[/tex]

The volume of the toolbox is given by [tex]V=l\times w\times h[/tex]

Insert the value to find the length

[tex]\Rightarrow 9072=14\times 12\times l\\\\\Rightarrow l=\dfrac{9072}{168}\\\\\Rightarrow l=54\ in.[/tex]

The length of the box is [tex]54\ in.[/tex]

Answer:

45

Step-by-step explanation:

Answer:

y = -1/2 x - 1

Step-by-step explanation:

The expression in point-slope form is expressed as;

y-y0 = m(x-x0)

(x0,y0) = (6, -4)

slope m = -1/2

Substitute into the formula

y-(-4) = -1/2(x-6)

y+4 = -1/2(x-6)

2(y+4) = -(x-6)

2y+8 = -x+6

2y = -x+6-8

2y = -x-2

y = -1/2 x -2/2

y = -1/2 x - 1

Hence the answer in slope-intercept form is y = -1/2 x - 1

Answer: 6 passwords

Step-by-step explanation:

The slope of x= -4 is unidentified.

The x= -4 is a vertical line and slope cannot be found.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. [1] The letter m is frequently used to represent slope; the reason for this usage is unclear, although it may be found in O'Brien's (1844)[2] and Todhunter's (1888][3] formulations of the equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

The ratio of the "vertical change" to the "horizontal change" between (any) two unique points on a line is used to compute slope.

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Answer:

41x² - 27x + 27

Step-by-step explanation:

Perimeter of Rectangle:

= 2(20x²-12x+4) + 2(5x²-5x+15)

= 40x²-24x+8 + 10x²-10x+30

= 50x²-34x+38

Perimeter of Triangle:

= 6x²+6x+3x+3+3x²-2x+8

= 9x²+7x+11

Difference:

(50x²-9x²)+(-34x+7x)+(38-11)

= 41x² - 27x + 27

Answer:  [tex]3x^4 / 2y^4[/tex]

Step-by-step explanation: [tex](3x7x^6y^5)divide(2x7x^2y^9)[/tex]    then [tex]x^6 divided by x^2 = x(^6 ^- ^2) = x^4[/tex]   then

[tex]y^5 divided by y^9 = y(^5 ^- ^9) = y(^-^4) = 1/y^4[/tex]  then

Canceling out  7  as it appears on both sides of the fraction line.

Hope this is clear and is helpful

Answer:

45cm2

Step-by-step explanation:

My teacher reveiwed this problem after the test :)

Answer:

m=3.6

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Lets solve this step by step,

First we insert 8 in x's place:

(8 - 4) + 12

Now we solve:

8 - 4 = 4

(4) + 12

4 + 12 = 16

Answer: 16

Hope this Helps

Answer:

17m2

i think it is a right answer

Area of the circular sidewalk around flowerbed is 314 m² .

Area is the amount of space occupied by a two-dimensional shape. That is, it is a quantity that measures the number of unit squares that cover the surface of a closed figure. Standard area unit is square unit.

Given,

Diameter of flowerbed = 21m

radius = diameter/2 = 21/2 = 10.5 m

Area of flower bed A

= πr²

= 3.14(10.5)²

= 3.14(110.5)

= 346.185 m²

width of the sidewalk = 4m

radius of flower bed with sidewalk = 10.5 + 4 = 14.5m

Area of flower bed with sidewalk A'

= 3.14(14.5)²

= 3.14(210.25)

= 660.185 m²

Area of the sidewalk

= A' - A

= 660.185 - 346.185

= 314 m²

Hence, 314 m² is area of the circular sidewalk around flowerbed.

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Answer:

I think the answer is 11.7 units rounded to nearest tenth

Step-by-step explanation:

d=(2−(−4))2+(−7−3)2−−−−−−−−−−−−−−−−−−−√

d=(6)2+(−10)2−−−−−−−−−−−√

d=36+100−−−−−−−√

d=1–√36

d=11.661904

-7 is the opposite of 7.

Simply adding a negative sign yields the negative number 7, which is the opposite of the positive number 7. 7 and 7 are the opposites of one another since they are both seven units apart from 0 on the number line.

The inverse of a number is the number on the other side of the 0 number line and at the same distance from 0. Oppositely positioned numbers on the number line. The opposite of an integer is its additive inverse. As a result, on a number line, the opposite of a number is the number that is located in the other direction from 0 but at the same distance from it.

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