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romanna [79]
3 years ago
9

An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70°

to determine the length of railing needed for the balcony.
Mathematics
1 answer:
Phantasy [73]3 years ago
3 0
49FT. LENGTH=ANGLE OVER 360 x 2pi
              
                        = 70 over 360 x 2pi (40)


                        = 48.9 = 49FT.
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Solving a right triangle (round to the nearest tenth)
Inga [223]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 46)° = 180° - 136° = 44°

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tan46° = \frac{opposite}{adjacent} = \frac{b}{23}

Multiply both sides by 23

23 × tan46° = b, thus

b ≈ 23.8 ( to the nearest tenth )

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cos46° = \frac{adjacent}{hypotenuse} = \frac{23}{c}

Multiply both sides by c

c × cos46° = 23 ( divide both sides by cos46° )

c = \frac{23}{cos46} ≈ 33.1 ( to the nearest tenth )

5 0
3 years ago
IMPORTANT HELP HURRY
Zanzabum
Let Bea = x
Therefore Andrew = x + 2
Chris = x - 3

Andrew * Chris = 66
(x + 2)(x - 3) = 66 Remove the brackets.
x^2 + 2x  - 3x - 6 = 66
x^2 - x - 6 = 66 Subtract 66 from both sides.
x^2 - x - 72 = 0
(x - 9)(x + 8) = 0
Find the possible values of Bea's age

x - 9 = 0
x = 9 That value works. She can be plus 9 years old.

x + 8 = 0
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9 <<<<<< Answer
6 0
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Find x if cos(x)=.1412
Rudik [331]
0.99999696 is your answer I am pretty sure.
6 0
3 years ago
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Find f (2b^2) for (x)=x^2-4x
BlackZzzverrR [31]

Answer:

A

Step-by-step explanation:

We are given the function:

f(x) = x^2 - 4x

And we want to find:

\displaystyle f(2b^2)

Substitute:

\displaystyle f(2b^2) =(2b^2)^2 -4(2b^2)

And evaluate:

\displaystyle \begin{aligned}  f(2b^2) &=(2b^2)^2 -4(2b^2) \\ &=(4b^4) +(-8b^2) \\ &= 4b^4 - 8b^2 \end{aligned}

In conclusion, our answer is A.

7 0
3 years ago
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