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Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

Answer:

12

Step-by-step explanation:

Answer:

[tex]10\:\mathrm{meters}[/tex]

Step-by-step explanation:

We can use trigonometry for a right triangle to solve this problem:

[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].

The height of the flagpole is 10 meters.

"It is the angle from the horizontal upward to an object."

For given question,

Consider the following figure.

The angle of elevation is 18°

⇒ ∠ACB = 18°

Also, BC = 30 meters

We need to find the height of the flagpole i.e., we need to find the distance AB.

Consider a tan(∠ACB )

[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]

Therefore, the height of the flagpole is 10 meters.

Learn more about angle of elevation here:

https://brainly.com/question/21137209

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Answer:

165

Step-by-step explanation:

its the answer trust me rank me brainiest

Answer:

B. 165

Step-by-step explanation:

Table: x = 11 and y = 770

Graph: x = 11 and y = 605

770 - 605 = 165

Answer: 80 perhaps

Step-by-step explanation:

Answer:

the answer is c 40 ft because to find the area is half of base times height

Step-by-step explanation:

8 times 10 = 80

80/2= 40

Answer:

52 students or 51

Step-by-step explanation:

Answer:

a. About 0.907185 kg to 2.72155 kg

b. About 1857 kg

c. About 0.005 g

d. About 0.75 feet

e. About 15 to 16 feet

Step-by-step explanation:

These are all estimated measurements and may vary across different regions and jurisdictions.

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Answer:

I think it should be 11/3

Answer:

Move all terms that don't contain x to the right side and solve.

x = −2

Answer:

x=-2

Step-by-step explanation:

-3x-2=6

6+12=18

Answer:

Joshua saves 5 less. Its C.

Step-by-step explanation:

Tell me if u need an explanation.

1.6 hours

152 km total divided by her speed, 95 km/h =1.6

Answer:

2/5

Step-by-step explanation:

(y2-y1)/(x2-x1)=slope

8-6=2

3+2=5

slope is 2/5

Answer: The slope of the line is 0.4

Step-by-step explanation: I wish it help.

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.

Now you follow the division process and then simply the answer and it would be 6.

Answer:

Answer is 6

Step-by-step explanation:

Change 1 1/2 into 3/2

Multiply by the reciprocal: 3/2 x 4/1

3/2 x 4/1 = 12/2

12 divided by 2 = 6

Hope this helps :)

Answer:

40

Step-by-step explanation:

Answer:

4.05768272

Step-by-step explanation:

Answer:

5:7

Step-by-step explanation:

Answer:

the expression is (36+5)³

Answer:

$3,700

Step-by-step explanation:

16% of 2500=400

400×3(years)=1200

2500+1200=3700

Answer:

A.

Step-by-step explanation:

in order for a function to be a function, one input must only have one output.

We see that in option B, -1 has two outputs (10, 18)

In option c, we see that -4 has two outputs (2, -2)

In option D, we see that -3 has two outputs (5, 0)

This means A is the correct option because each input has only one output.

9514 1404 393

Answer:

  15.8°

Step-by-step explanation:

The relationship between angle trig functions and sides of a right triangle is summarized in the mnemonic SOH CAH TOA. Here, we're given the side opposite the angle (the height of the deck), and the side adjacent to the angle (the horizontal distance). So, the applicable relation is ...

  Tan = Opposite/Adjacent

  tan(angle) = 1450/5128

Then the angle is found using the inverse tangent function:

  angle = arctan(1450/5128) ≈ 15.8°

The angle of depression is about 15.8°.

Step-by-step explanation:

(4x-7)°=(7x-61)°

61-7=7x-4x

54=3x

x=18°

Answer:

The math club has 22 students, and the art club has 34 students.

Step-by-step explanation:

Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:

X + X + 12 = 56

2X + 12 = 56

2X = 56 - 12

X = 44/2

X = 22

Thus, the math club has 22 students, and the art club has 34 students.

Answer:

37.5:52.5

Step-by-step explanation:

5u + 7u = 90

12u = 90

u = 7.5

So the angles are (5x7.5) =37.5 degrees

(7x7.5) = 52.5 degrees.

Answer:

(a^2+ax-y) (a^2+ax+y^2)

Step-by-step explanation:

a^4+2xa³+a²x²-y^4

(a^2+ax)^2-y^4

(a^2+ax-y) (a^2+ax+y^2)

9514 1404 393

Answer:

  (a^2 +ax -y^2)·(a^2 +ax +y^2)

Step-by-step explanation:

This can be factored as the difference of squares.

  a^4 +2a^3x +a^2x^2 - y^4 = a^2(a+x)^2 - y^4

  = (a(a+x) -y^2)(a(a+x) +y^2)

  = (a^2 +ax -y^2)·(a^2 +ax +y^2)

Answer:

1/6 lbs

Step-by-step explanation:

2                 1                 1

-        X        -        =        -

3                  4                6

Answer: She ate 5/12 of the turkey.

Step-by-step explanation:

First, find a common denominator by multiplying each fraction by the denominator of the other. By doing this, you should get 8/12, and 3/12.

Next, subtract them!

ex: 2/3= 8/12

1/4=3/12

8/12-3/12=5/12

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80