4 4/9 times 3/8 simplest form

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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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:

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

Answer:

-51

Step-by-step explanation:

hope it helps you! good luck!

Step-by-step explanation:

add up all of the numbers in the five groups then divide the numbers by the number of numbers you have for example if the sum of all of those numbers is let's a 25 and you have 5 numbers you'll divide 25 by 5 and your men will be 5:00 and if the sum of the numbers was 30 and you have six numbers you'll / 30by6 then your answer then the mean will be six

Answer:

I don't know which school you are asking for, so here are all of them, followed by the general mean of all the schools.

a: 1.7

b: 4.7

c: 3.9

d: 5.3

e: 4.5

gen: 4

Step-by-step explanation:

This is easiest to solve with a calculator.

When finding the mean, you need to add all the numbers together, then divide by how many numbers you added.

Let's say that you have the numbers 2, 5, and 8. You add them together to get 15, then divide 15 by 3. The mean is 5.

With your problem, the general mean of all 5 schools is 4.

Hope that this helps!

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:

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

Consequently, the answer to the above fraction problem comes out to be 1/2 .

An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.

Here,

Given here is: (4√(2) - √(2)) × √(2) /  (2) (2) × √(18) (18)

The radical is then simplified in order to determine its value.

=> 3√(2) × √(2) / 2√(2) × 3√(2)

=> 3(2) / 6(2)

=> 3/6

=> 1/2 or 0.5

so,

after simplification, the answer is 1/2.

Consequently, the answer to the above fractional problem comes out to be 1/2 .

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-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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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:

-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:

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: [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:

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:

d. a f

Step-by-step explanation:

i hope this helps :)

Answer:

D. A F

Step-by-step explanation:

It is a line all the way across the center of the circle (the definition of a diameter of a circle)

Answer:

m=3.6

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:

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

Answer:

45cm2

Step-by-step explanation:

My teacher reveiwed this problem after the test :)

Answer:

0

Step-by-step explanation:

7-10=2+(-4+2)

-3=2+(-2)

-3=0

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:

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

Answer: 6 passwords

Step-by-step explanation:

At least 30 of the households have 0 to 4 pets.

What is Chebyshev's theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Numerous other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem.

Here,

we have a sample size of n = 40.

The mean number of pets per household is 2 and the standard deviation is 1.

We need to determine at least how many of the households have 0 to 4 pets.

By using Chebyshev’s inequality rule with k = 2(that is ) then,

= 100(1- (1/k²))%

= 100 (1- (1/2²))%

= 100 (1- (1/4))%

= 75%

The corresponding number of households is the percentage multiplied by the sample size.

= 75% × 40 = 30

Hence, at least 30 of the households have 0 to 4 pets.

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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:

3/7

Step-by-step explanation:

3 ponies + 3 goats = 6 total

8 rabbit + 6 sheep = 14 total

6/14 simplified is 3/7.