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Stells [14]
3 years ago
15

PLZ HELP ASAP WILL MARK BRAINLIEST

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer:

72\sqrt{3}

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = \frac{1}{2} × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = \sqrt{3}

tan60° = \frac{opposite}{adjacent} = \frac{opp}{6} = \sqrt{3} ( multiply both sides by 6 )

opp = 6\sqrt{3} , then

d₂ = 2 × 6\sqrt{3} = 12\sqrt{3}

Thus

A = \frac{1}{2} × 12 × 12\sqrt{3} = 6 × 12\sqrt{3} = 72\sqrt{3}

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vivado [14]
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What is 62.465 rounded to the nearest tenth
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3 years ago
645 plus 763 to the nearest hundredth
Vedmedyk [2.9K]

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8 0
3 years ago
Find the amount in the bank after 7 years if interest is compounded quarterly?
qwelly [4]

Answer:

a) amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

Step-by-step explanation:

We are given:

Principal Amount P= 5000

Rate r= 4% = 0.04

time t = 7 years

The formula used is: A=P(1+\frac{r}{n})^{nt}

where A is future value, P is principal amount, r is rate, n is compounded value and t is time

a) Find the amount in the bank after 7 years if interest is compounded quarterly?

If interest is compounded quarterly then n = 4

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{4})^{4*7} \\A=5000(1+0.01)^{28}\\A=5000(1.01)^{28}\\A=5000(1.321)\\A=6,605

So, amount in the bank after 7 years if interest is compounded quarterly is $6,605

b) Find the amount in the bank after 7 years if interest is compounded monthly?

If interest is compounded quarterly then n = 12

Using values given in question and finding A

A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.04}{12})^{12*7} \\A=5000(1+0.003)^{84}\\A=5000(1.003)^{84}\\A=5000(1.322)\\A=6,612.57

So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57

6 0
3 years ago
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