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Alexus [3.1K]
3 years ago
14

Starlin's goal is to spend less than $415 on a trip. So far, he has spent $25 on gas for his car. He will spend $100 each day on

other expenses.
Let d represent the number of days for Starlin's trip.
Drag and drop the answer into the box to correctly complete the statement.
Starlin's trip must last fewer than_____________ days.

4 3 13 21
Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0
Your answer is 4.Trust me Jakie the answer is 4.Have a lovely day.<3

Hope this help.


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If b=\frac1a, then by rationalizing the denominator we can rewrite

b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8

Now,

a^2 - b^2 = (a-b) (a+b)

and

a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8

a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8

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Answer:

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Step-by-step explanation:

I have attached a diagram depicting the question.

From the diagram, The first tower is depicted by side AEB and the second tower CD.

While d is the distance that separates the two towers and it's given as 15m.

Now, since the angle of depression of the second tower’s base is 60°, then for triangle BAC. Angle C = 60°.

Thus; using trigonometric ratios;

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Similarly, for the triangle BED, BE = d*tan 30°

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CD = d (tan 60° − tan 30°)

CD = 15(1.7321 − 0.5774)

CD = 15 × 1.1547

CD ≈ 17.32 m.

So, height of second tower = 17.32 m

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