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9966 [12]
3 years ago
5

Help please. Having some trouble with this question

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

The answer to your question is 55 ft

Step-by-step explanation:

Data

Person's height = 5 ft

Person's shadow = 10 ft

Tree's height = ?

Tree's shadow = 110 ft

- Use the Thales' theorem to solve this problem

 Person's height / Person's shadow = Tree's height / Tree's shadow

- Substitution

                     5 / 10 = x / 110

-Solve for x

                     x = 5 (110) / 10

-Simplification

                     x = 550 / 10

-Result

                     x = 55 ft

-Conclusion

The tree is 55 ft height

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Answer:

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Step-by-step explanation:

<u>Step 1: Define</u>

\displaystyle \frac{2x - 24}{8}

<u>Step 2: Simplify</u>

  1. [Fraction - Numerator] Factor:                                                                       \displaystyle \frac{2(x - 12)}{8}
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8 0
3 years ago
Read 2 more answers
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What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

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3 years ago
The closure property states that the sum of two polynomials is a .
bija089 [108]
Is a polynomial

hope this helped

8 0
3 years ago
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