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koban [17]
2 years ago
9

Type the correct answer in the box. Write your answer to one decimal place. A boy who is 1. 8 meters tall stands 1 meter away fr

om a lamppost and casts a shadow 2 meters long. The height of the lamppost is meters.
Mathematics
1 answer:
alisha [4.7K]2 years ago
5 0
1.5 meters tall the lampost
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What is the sum or difference?
dlinn [17]
1. Ans: Option (B) -6x^4

Explanation:
Given: 2x^4 - 8x^4
Take the common out:
=> x^4(2 - 8)

Hence: => [tex]-6x^4[/tex] (Option B)

2. Ans: Option (D) -3y^5

Explanation:
Given: 6y^5 - 9y^5
Take the common term(s) out:
=> y^5(6-9)

Hence: => -3y^5 (Option D)

3. Ans: Option (B) 9x^2 - 12x + 6<span> quadratic trinomial 

Explanation:
</span>Given: 6 - 12x + 13x^2 - 4x^2

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> 
13x^2 - 4x^2 - 12x + 6
=> 9x^2 - 12x + 6 (Option B)

4. Ans: Option (C) 7.3x^2 + 0.8x + 1.3

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: 3.1x^2 +6.0x + 0.3<span>
Endler's guppies:   </span>4.2x^2 - 5.2x + 1.0
(add both)
-----------------------------------------------------------------
Total number:          7.3x^2 +0.8x + 1.3
-----------------------------------------------------------------
Hence the ans is Option(C) 7.3x^2 + 0.8x + 1.3

5. Ans: Option (D) 2x^2(133 - 18 \pi )

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = 266x^2

Now the area of the circular fountain:
Area of the Circular Fountain = \pi r^2
Since, r=6x
Therefore,
Area of the Circular Fountain = \pi (6x)^2 = 36 \pi x^2

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = 266x^2 - 36 \pi x^2
=> Final area of the Yard = 2x^2(133 - 18 \pi) (Option D)

6. Ans: Option (A) 56x^2

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = 60x^2

Now the area of the stadium:
Area of the stadium = 1x * 4x = 4x^2

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= 60x^2 - 4x^2
=> Final area of the lot = 56x^2 (Option A)

-i
4 0
3 years ago
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Khi Chính phủ đánh thuế trên 1 đơn vị sản phẩm bán ra làm cho đường chi phí cận biên: *
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2 years ago
Which points are on the line that connects points (0, 4) and (1, 2)? Select all that apply.
AVprozaik [17]
The points that connect (0,4) and (1,2) are B, E and F. Please mark Brainliest and Hope this Helps
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2 years ago
Determine the period
mixas84 [53]
The period is 11

Explanation
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2 years ago
Use the inequality below to answer the question. 0.08 g + 0.2 &lt; 5 Which set of values contain possible solutions for g?
Kazeer [188]

Answer: g<22.5

Step-by-step explanation:

Isolate the variable by dividing each side by the factor that don’t contain the variable.

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2 years ago
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