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Ksivusya [100]
3 years ago
7

If a 30-foot silo casts a 20-foot shadow, what is the approximate measure from the tip of the shadow to the top of the silo?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0

9514 1404 393

Answer:

  (d)  36 feet

Step-by-step explanation:

Use your sense of geometry.

The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.

That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.

The measure is about 36 feet.

__

If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...

  d^2 = 20^2 +30^2 = 1300

  d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet

_____

* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.

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Mkey [24]

Answer:

(x + 4)² + (y - 2)² = 8

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 4, 2 ) , then

(x - (- 4))² + (y - 2)² = r²

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CA is the radius of the circle

To find r use the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)

r = \sqrt{(-2+4)^2+(4 -2)^2}

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3 years ago
In a biscuit tin, there are 10 chocolate and 4 shortbread biscuits. What proportion are, a) Chocolate ?
amid [387]

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

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Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

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ANSWER:

2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82

STEP-BY-STEP EXPLANATION:

We need to determine the range of values of x for costs to be less than $175,000.

In points 5.6 and 24.13, the cost is exactly $175,000, which means that the solution interval cannot include these values.

So the correct answer is:

2nd option: 0 ≤ x < 5.6 and 24.13 < x ≤ 32.82

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Sherri rolls a dice, numbered 1 to 6, 64 times. How many times can she expect to roll an odd number?
gregori [183]

Answer:

32

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