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Jet001 [13]
3 years ago
10

Find the volume for the regular pyramid. V =

Mathematics
2 answers:
dem82 [27]3 years ago
8 0

Answer:

16\sqrt{2}\\3

kakasveta [241]3 years ago
6 0

Answer:

Volume=\frac{16\sqrt{2} }{3}units^{3}

Step-by-step explanation:

∵ The volume of the pyramid = 1/3 base area  × height

∵ The base is equilateral Δ with side length 4

∴ The area of the bast = 1/4 × 4² × √3 = 4√3 units²

To get the height of the pyramid draw it from the vertex of the top of the pyramid ⊥ to the base on the centro-id of the base which divides the height of the triangle two ratio 2:1 from the vertex of the triangle

∵ The height of the base = √(4² - 2²) =√12 = 2√3

∴ 2/3 the height = 4√3/3 ⇒ (2:1 means 2/3 from the height)

∴ The height of the pyramid = √[4² - (4√3/3)²] = √[16 - 48/9]

∴ h = 4√2/√3 (4√6/3 in its simplest form)

∴ V = 1/3 × 4√3 × 4√2/√3 = 16√2/3 units³

∴ V = \frac{16\sqrt{2} }{3}

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If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?​
DIA [1.3K]

Answer:

Answer: The answer is $20

Multiply 400 by .05 or 5%.

If you wanna know 6 years it would be 536 usd

Explanation:

This would be an compound interest. Meaning that your gain every year would increase exponentially.

The equation to calculate this would be: Kn = K0⋅

(1+p100)n Kn is your savings after the period nK0 is your starting deposit p is the percentage n is the period of interest for your example we would have.

Kn=400⋅

(1+5100)6

Step-by-step explanation:

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calderonj4588

5 0
2 years ago
PLEASE HELP im dying over here
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3 years ago
Your parents allow you to have Internet access on your cell phone as long as you prepay the bill. If your bill is $17.50 per wee
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Step-by-step explanation:

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5 0
3 years ago
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Allushta [10]
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3 0
3 years ago
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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n)=-6+(n-1)(1/5) A)-6,-5 1/5,
scoundrel [369]

Step-by-step explanation:

An arithmetic sequence is given by relation as follows :

A(n)=-6+(n-1)\dfrac{1}{5}

For the first term, put n = 1. So,

A(1)=-6+(1-1)\dfrac{1}{5}\\\\A(1)=-6

For fourth term, put n = 4. So,

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For tenth term, put n = 10. So,

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Hence, the correct option is (C).

7 0
3 years ago
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