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3 years ago

Find the missing side of triangle

Mathematics

1 answer:

Maksim231197 [3]3 years ago

7 0

Final Answer:

x = 20

Step-by-step explanation:

we'll be using the pythagorean theorem method, in this triangle the missing letter is a.

formula: $a=\sqrt{c^2-b^2}$

a = x

b = 21

c = 29

a = $\sqrt{29^2-21^2}$

a = $\sqrt{841-441}$ (note: 29² = 29 × 29 = 841 and 21² = 21 × 21 = 441)

a = $\sqrt{400}$

a = 20

x = 20

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1000 was invested at 5.5% interest, compounded annually. After sometime the amount had grown to 1550. How long was the money inv

scZoUnD [109]

compound interest equation for annually compounded

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A=final amount

P=principal

r=rate in decimal

t=time in years

given that

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find t

$1550=1000(1+0.055)^t$

divide both sides by 1000

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use ln rule $ln(a^b)=b(ln(a))$

$ln(1.55)=t(ln(1.055))$

divide both sides by ln(1.055)

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3 years ago

Solve this system of linear equations. Separate the x- and y-values with a comma.

vodomira [7]

Answer:

x = $\frac{5}{2}$ , y = $\frac{5}{4}$

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

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3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = $\frac{5}{4}$

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = $\frac{5}{2}$

hope this helps!

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2 years ago

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3 years ago

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aliya0001 [1]

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