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Kamila [148]
2 years ago
15

(5 - 3)⁴ - 2(7) + 8² = ?

Mathematics
1 answer:
Veseljchak [2.6K]2 years ago
7 0

Answer:

66

Step-by-step explanation:

(5 - 3)⁴ - 2(7) + 8²

PEMDAS

Parentheses first

(2)⁴ - 2(7) + 8²

Exponents

16 - 2(7) + 64

Multiply and divide from left to right

16 -14 +64

Add and subtract from left to right

2+64

66

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Answer:

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Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

tan(30) = (h - 1.5) / x

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

tan(45) = (h - 1.5) / (x - 10)

So rewriting both equations using the tangents values, we have that:

0.5774 = (h - 1.5) / x

1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)

From the first equation, we have that:

x = (h - 1.5) / 0.5774

Using this value of x in the second equation, we have that:

h - 1.5 =  \frac{ (h - 1.5) }{0.5774} - 10

h + 8.5 =  \frac{ (h - 1.5) }{0.5774}

0.5774h + 4.9079 = h - 1.5

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3 years ago
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Answer:

did you figure it out?

Step-by-step explanation:

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algol [13]

Complete question:

Sarah is playing a board game. The probability that Sarah will score a point on her next turn is 1/3. Which statement describes the probability that Sarah will score a point on her next turn?

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If the probability that Sarah will score a point on her next turn is 1 which is 100%, then it will be <em>certain</em> that she will score a point on her next turn.

Again, If the probability that Sarah will score a point on her next turn is ¹/₂ which is 50%, then it will be <em>likely</em> that she will score a point on her next turn.

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Thus, the correct statement for the given question is "<em>unlikely"</em>

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