3 years ago

Urgent Help!! Please Help

Mathematics

1 answer:

MArishka [77]3 years ago

8 0

Add some soil to it it should be 5more or fewer inches

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A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the

LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

$\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}$

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

$\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64$

Hence, the lighthouse is 34.64 m tall.

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2 years ago

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What are the next three terms of the sequence below?

vichka [17]

Answer:

64, 256, 1024 (D)

Step-by-step Explanation:

The sequence is following some rule. And the rule is: Multiplying the term with 4 to get the next term. Like:

$1 × 4 = 4$
$4 \times 4 = 16$

Similarly, the next terms are:

$16 \times 4 = 64$
$64 \times 4 = 256$
$256 \times 4 = 1024$

The terms are 64, 256, 1024 which matches with Option D. And that's the correct answer

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A professor said 4/5 of his students passed the final examination. If 60 students took the exam, how many passed?

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Hey there!

We have that 4/5, or 80% of the 60 students passed the exam.

Thus, we have:

0.8(60)=48

48 students passed the exam.

Let me know if this helps :)

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