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mars1129 [50]
2 years ago
6

If 2x = 3y + 11 and 2 to the power of x = 2 to the power of 4(y+1), determine the value of x + y

Mathematics
1 answer:
evablogger [386]2 years ago
7 0

Z = -2

Y = 5

is your answer

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A regular octagonal pyramid. Each side of the base is 6 cm long. it has a height of 10cm. Find the surface area of the pyramid​
attashe74 [19]

9514 1404 393

Answer:

  470.16 cm²

Step-by-step explanation:

The apothem of the base is used for two purposes: to find the area of the base, and to find the slant height of each face.

The apothem of the base for side length s is ...

  s/2 = a·tan(π/8)

  a = s/(2·tan(π/8)) ≈ 7.24 cm

The slant height of a triangular face is found using the Pythagorean theorem. The apothem of the base and the height are legs of the right triangle whose hypotenuse is the slant height. For slant height x, we have ...

  x² = 10² + a² = 100 +52.46

  x ≈ √152.46 ≈ 12.35

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The area of the 8 triangular faces will be ...

  A = 1/2Px . . . . where P is the perimeter of the pyramid

The area of the base will be ...

  A = 1/2Pa

So, the total surface area is ...

  A = 1/2P(a + x) = (1/2)(8)(6 cm)(7.24 +12.35 cm) ≈ 470.16 cm²

8 0
3 years ago
Read 2 more answers
A rectangular prism has a base area of 400 square inches. The volume of the prism is 2,400 cubic inches. What is the height of t
katrin [286]

Answer:

6

Step-by-step explanation:

2,400 divided by 400 = 6

7 0
3 years ago
diketahui akar akar persamaan kuadrat 2x^2-9x + 7 = 0 adalah x1 dan x2. nilai dari x1^2 + x2^2- 4x1x2 adalah...
Leviafan [203]
<span>jika xy = 0 , kemudian menganggap x dan y = 0

faktor 2x^2-9+7
(2x-2)(x-7)=0

2x-2=0
2x=2
x=1

x-7=0
x=7

</span><span>jika 1 = x1 dan 7 = x2 maka jawabannya adalah 1^2+7^2-4(1)(7)=22
</span>
jika 7 = x1 dan 1 = x2 maka jawabannya adalah
7^2+7^2-4(7)(1)=22

<span>jawabannya adalah 22</span>


6 0
3 years ago
5/8 teaspoon baking soda with 1/3 teaspoon of salt equals how many teaspoons together
Korolek [52]
23/24 teaspoons together

5 0
3 years ago
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What is the value of x?<br> x = ?
meriva

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now, <em>1</em><em>0</em><em>x</em><em> </em><em>-</em><em> </em><em>2</em><em>0</em><em> </em><em>+</em><em> </em><em>6</em><em>x</em><em> </em><em>+</em><em> </em><em>8</em><em> </em><em> </em><em>=</em><em>. </em><em>1</em><em>8</em><em>0</em><em> </em>

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<em>1</em><em>6</em><em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>9</em><em>2</em><em> </em>

<em>x=</em><em> </em><em>1</em><em>9</em><em>2</em><em>/</em><em>1</em><em>6</em>

<em>x </em><em>=</em><em> </em><em>1</em><em>2</em>

<em>1</em><em>s</em><em>t</em><em> </em><em>angle </em><em>=</em><em> </em><em>1</em><em>0</em><em>0</em>

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<em>Hope</em><em> it</em><em> helps</em><em> and</em><em> your</em><em> day</em><em> will</em><em> full</em><em> of</em><em> happiness</em>

8 0
3 years ago
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