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Sunny_sXe [5.5K]
3 years ago
5

Find the length of side x. Show steps please!

Mathematics
1 answer:
yawa3891 [41]3 years ago
8 0

Answer:

\large{x=7.4438\ cm\approx7.4\ cm}

Step-by-step explanation:

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have:

\alpha=28^o,\ opposite=x,\ adjacent=14\ cm

\tan28^o\approx0.5317

Substitute:

\dfrac{x}{14}=0.5317                <em>multiply both sides by 14</em>

x=7.4438\ cm

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Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
Solve for B. <br> R = x(A + B)<br><br> A) B = (R - A)/x<br> B) B = (A - Rx)/x<br> C) B = (R - Ax)/x
Vera_Pavlovna [14]

R = x(A+B)

distribute

R=Ax+Bx

subtract Ax from each side

R-Ax=Bx

divideby x

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3 0
3 years ago
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crimeas [40]

Answer:

y = -3/2x + 3

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4 0
3 years ago
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Y 65° 25 <br>can someone solve this ? ​
n200080 [17]
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7 0
3 years ago
Triangle abc is a right triangle. One of the acute angles is (3x+20)and the other is (3x+10) find the value of x
sasho [114]

Answer:

x=10

Step-by-step explanation:

90+3x+10+3x+20=180

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combine like terms

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x=10

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3 years ago
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