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Nutka1998 [239]
3 years ago
8

Round your answer to the nearest hundredth.

Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

in \: right \: angle \: triangl \: a \: b \: c \\  tan35 =  \frac{bc}{ac }  =  \frac{bc}{2}  \\ bc = 2 \times 0.7002 \\ bc = 1.4004

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What is the perimeter of the triangle?<br> units
skelet666 [1.2K]

Answer:

Perimeter = 30

Step-by-step explanation:

hypotenuse = \sqrt{5^2+12^2}

hypotenuse = \sqrt{25+144}

hypotenuse = \sqrt{169}

hypotenuse = 13

Perimeter = 5+12+13

Perimeter = 30

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3 years ago
the angle of elevation of the top of a tree from a distance of 1000 ft is 25 degrees. how tall is the tree?
pickupchik [31]

Answer:

466.30 ft

Step-by-step explanation:

Given in the question,

the angle of elevation of the top of a tree from ground = 25°

horizontal distance between angle of elevation and tree = 1000ft

To find,

height of tree( vertical distance from ground to top of tree)

As we can presume for the question that the whole scenario makes a right angle triangle. So, we will use trigonometry functions

Tan Δ = opposite / adjacent

Tan25°= height / 1000

height = 1000 * Tan25°

height = 1000 * 0.466

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4 years ago
Solving Square Root Worksheet (x - k)^2 Part 3
erastova [34]

Answer:

7. x = -2 +/- 4i\sqrt{5}

8. x = 2 or x = 6

9. x = -2 +/- \frac{\sqrt{26} }{2} i

10. t = -3 +/- \sqrt{35}

Step-by-step explanation:

7. Subtract 320 from both sides: 4(x + 2)^2 = -320

Divide by 4: (x + 2)^2 = -80

Square root both sides: x + 2 = +/- \sqrt{-80}. We need to add the imaginary i to this: +/- \sqrt{-80} = +/- i\sqrt{80} = +/- 4i\sqrt{5}

Subtract 2 from both sides: x = -2 +/- 4i\sqrt{5}

8. Add 18 to both sides: 7(x - 4)^2 = 28

Divide by 7: (x - 4)^2 = 4

Square root both sides: x - 4 = +/- 2

Add 4 to both sides: x = 4 +/- 2  ⇒  x = 2 or x = 6

9. Add 5 to both sides: -2(x + 2)^2 = 13

Divide by -2: (x + 2)^2 = -13/2

Square root both sides: x + 2 = +/- \sqrt{-13/2}. We again need i: +/- \sqrt{-13/2} = +/- i\sqrt{13/2} = +/- \frac{\sqrt{26} }{2} i

Subtract 2 from both sides: x = -2 +/- \frac{\sqrt{26} }{2} i

10. Multiply by 5 on both sides: (t + 3)^2 = 35

Square root both sides: t + 3 = +/- \sqrt{35}

Subtract 3: t = -3 +/- \sqrt{35}

Hope this helps!

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