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Katen [24]
3 years ago
5

Someone can you please help me on number 74

Mathematics
2 answers:
SVETLANKA909090 [29]3 years ago
6 0

<u>Answer:</u>

9t^3+t^2

<u>Step-by-step explanation:</u>

We are given a figure of a polygon with mentioned side lengths and we are to find the perimeter of it.

For that, we will simply add the given side lengths and simplify them.

Perimeter of polygon = ( 4 t ^ 3 - 5 ) + ( 4 t ^ 3 - 5 ) + ( t ^ 2 + 9 ) + ( t ^ 2 + 1 2 ) + ( t ^ 3 - t ^ 2 - 1 1 )

= 4 t ^ 3 + 4 t ^ 3 + t ^ 3 + t ^ 2 - t ^ 2 + t ^ 2 - 5 - 5 + 9 - 1 1 + 1 2

Perimeter of polygon = 9t^3+t^2

lisabon 2012 [21]3 years ago
5 0

Answer:

  9t^3 +t^2

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of the sides. The side lengths are represented by the polynomials shown, so the perimeter (P) is their sum:

  P = (4t^3 -5) + (4t^3 -5) + (t^2 +9) + (t^3 -t^2 -11) + (t^2 +12)

Rearranging to group like terms:

  P = (4t^3 +4t^3 +t^3) + (t^2 -t^2 +t^2) + (-5 -5 +9 -11 +12)

  P = 9t^3 +t^2

The perimeter of the figure is represented by the polynomial 9t^3 +t^2.

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Let f(x) = 4x + 3 and g(x) = -2x + 5. Find.(f o g) (5)
daser333 [38]
<span>f(x) = 4x + 3
g(x) = -2x + 5

(f o g) (5) means the function of g when g is a function of 5
(the function of the function concept)

so we need to get g(5) firstly

</span>
<span>g(x) = -2x + 5
g(5)= -2(5) + 5 = -5

After that, f(g(5)) = f(-5) = 4(-5) + 3 = -20 + 3 = -17


I hope that helps
</span>
4 0
3 years ago
John needs 20 grams of 54% acid solution for his science project. His school's science lab has bottles of 30% solution and bottl
Paul [167]

Answer:

John should use:

4 grams of the 30% solution and 16 grams of the 60% solution

Step-by-step explanation:

Let the number of grams of the 30% solution = x

Let the number of grams of the 60% solution = y

John needs 20 grams of 54% acid solution for his science project.

Hence,

x + y = 20 grams..... Equation 1

x = 20 - y

His school's science lab has bottles of 30% solution and bottles of 60% solution.

30% × x + 60% × y = 54% × 20

0.3x + 0.6y = 10.8......Equation 2

We substitute 20 - y for x in Equation 2

0.3(20 - y) + 0.6y = 10.8

6 - 0.3y + 0.6y = 10.8

- 0.3y + 0.6y = 10.8 - 6

0.3y = 4.8

y = 4.8/3

y = 16 grams

x = 20 - y

x = 20 - 16

x = 4 grams

Therefore, John should use:

4 grams of the 30% solution and 16 grams of the 60% solution

7 0
3 years ago
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Find the value of x. Round the length to the nearest tenth.
Lostsunrise [7]

Answer:

x = 5.1 yd

Step-by-step Explanation:

Angle of depression is congruent to angle of elevation.

Therefore, angle of elevation of the given figure, which is opposite to x is 25°.

Adjacent length = 11 yd

Opposite length = x

Trigonometric ratio formula for finding x is shown below:

tan(25) = \frac{opposite}{adjacent}

tan(25) = \frac{x}{11}

Multiply both sides by 11 to solve for x

11*tan(25) = x

5.129 = x

x = 5.1 yd (to the nearest tenth)

8 0
4 years ago
What is the length (in cm) of a rectangle with width 14 cm and area 168² cm​
kati45 [8]

Answer:

12

Step-by-step explanation:

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length = area ÷ width

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What is the formula of gradient
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Answer:

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