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Vladimir79 [104]
3 years ago
9

What will be the value of his account in 5 years if he does not make any additional deposits or withdrawals?​

Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

$5,805.92

Step-by-step explanation:

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Solve the inequality. 2(4x – 3) ≥ –3(3x) + 5x? x ≥ 0.5 x ≥ 2 (–∞, 0.5]
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** if u multiply/divide by a negative, the inequality sign changes
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8 thousandths plus 6 ones plus 8 thousanths equals what
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Given that tan^2 theta=3/8,what is the value of sec theta?
Alex Ar [27]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = \frac{3}{8}

Or, tanФ = \sqrt{\frac{3}{8} }

∵ tanФ = \frac{Perpendicular}{Base}

So,  \frac{Perpendicular}{Base} =  \sqrt{\frac{3}{8} }

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( \sqrt{3} )² + ( \sqrt{8} )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( \sqrt{11} )

Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  \frac{3}{8}

Or, Sec²Ф = \frac{11}{8}

Or,  SecФ = \pm \sqrt{\frac{11}{8}}

Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

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Sketch the following to help answer the question. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals
Aloiza [94]
Short Answer RP = 8 meters.
Remark
A kite's diagonals bisect each other. (1/2) QS = QP. 
Another fact about a kite is that the diagonals meet at right angles. 
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Step One
Find QP
QP = 1/2 QS
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QP = 1/2 12
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Step Two
Find RP
Use the Pythagorean Theorem To solve for RP

<em>Givens</em>
QP = 6        From Step 1
QR = 10     Given
QP = ??

We are dealing with a right angle triangle.
RP^2 + QP^2 = QR^2
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sqrt(RP^2) =sqrt(64)  
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4 years ago
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