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3 years ago

Please show the solving

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Step-by-step explanation:

YELLOW TRIANGLE:

$\sin(30) = \frac{x}{12} \\ x = 12 \sin(30) = 6$

PURPLE TRIANGLE:

Since one of the angle is 45°, x = BC = 6

To prove:

$\tan(45) = \frac{bc}{x} \\ bc = x \tan(45) = 6 \tan(45) = 6$

PINK TRIANGLE:

$\tan(60) = \frac{bc}{y} \\ y = \frac{bc}{ \tan(60) } \\ = \frac{6}{ \tan(60) } \\ = 2 \sqrt{3}$

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Whats the answer? I dont get it?

SSSSS [86.1K]

It’s the first answer choice

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3 years ago

3Misty wants to save money to purchase a new bicycle that cost $279. She opens a savings account and deposits $7 per week. Based

Annette [7]

Answer:

it will take at least 10 weeks of saving to buy the bike

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3 years ago

√180 can be expressed in the form p√q. where p and q are integers. Find the smallest value of p + q.

frutty [35]

Answer:

The smallest value of p+q is 11

It happens when p = 6 and q = 5.

=======================================================

Explanation:

Let's factor 180 in such a way that exactly one factor is a perfect square.

I'll ignore the trivial factor of 1.

Here are the possible factorizations we could go with:

180 = 4*45

180 = 9*20

180 = 36*5

Those factorizations then lead to the following

$\sqrt{180} = \sqrt{4*45} = \sqrt{4}*\sqrt{45}= 2\sqrt{45}\\\\\sqrt{180} = \sqrt{9*20} = \sqrt{9}*\sqrt{20}= 3\sqrt{20}\\\\\sqrt{180} = \sqrt{36*5} = \sqrt{36}*\sqrt{5}= 6\sqrt{5}\\\\$

Then we have

p+q = 2+45 = 47

p+q = 3+20 = 23

p+q = 6+5 = 11

The smallest value of p+q is 11 and it happens when p = 6 and q = 5.

Side note: p+q is smallest when we go with the largest perfect square factor.

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2 years ago

Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeo

TEA [102]

Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

The initial value and the growth rate are given by:

A(0) = 9520, r = 0.1.

Hence the function is given by:

$A(t) = 9520(1.1)^t$

Hence in 13 years, the amount of pigeons will be of:

$A(13) = 9520(1.1)^{13} = 32866$

More can be learned about exponential functions at brainly.com/question/25537936

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2 years ago

Can somebody help me please-

arsen [322]

Answer:

Step-by-step explanation:

volume=9×3×4+6×3×4+3×3×4=(9+6+3)×3×4=18×12=216 yd³

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2 years ago