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alisha [4.7K]
3 years ago
11

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of

inclination of the roof to the nearest degree?
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

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Find tan(13pi/4)-cos(pi/3)
ivanzaharov [21]

Answer: tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}

Step-by-step explanation:

To find tan(\frac{13\pi }{4})-cos(\frac{\pi }{3}), we first need to understand the unit circle. Let's find the value of tan and cos before we subtract them.

tan(\frac{13\pi }{4} ) is the same as tan(\frac{5\pi }{4} ). The point for \frac{5\pi }{4} is (-0.5,-0.5). Tangent is \frac{sin}{cos}. Since sin and cos are both -0.5, we can divide them.

\frac{-0.5}{-0.5} =1

Now, we know that tan(\frac{13\pi }{4} )=1. All we have to do is find cos(\frac{\pi }{3}).

cos(\frac{\pi }{3})=\frac{1}{2}

Now that we know the values of both, we can directly subtract them.

1-0.5=0.5

Therefore, tan(\frac{13\pi }{4})-cos(\frac{\pi }{3})=\frac{1}{2}.

6 0
4 years ago
1. What should be added to 1/8 to get 1/2?​
NemiM [27]

Answer:

3/8

Step-by-step explanation:

Hope This Helps :)

8 0
2 years ago
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According to a certain​ country's department of​ education, 43.7​% of​ 3-year-olds are enrolled in day care. What is the probabi
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The probability is 43.7/100
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2 years ago
I will cashapp somebody if they help me with multiple questions..
Komok [63]

Answer:

I'll help if I can

Step-by-step explanation:

5 0
3 years ago
Please help me! The waves of a tsunami are traveling at 600ft/min. The waves are 25 feet high and their period is 10 minutes. Wh
tatyana61 [14]

The distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

<h3>Calculating Wavelength </h3>

From the question, we are to determine the distance in miles between each wave and the next. That is, we should determine the wavelength.

From the formula,

v = fλ

Where v is the velocity

f is the frequency

and λ is the wavelength

We can write that

λ = v/f

From the given information,

v = 600ft/min

Now, we will determine the frequency, f

f = 1/T

Where T is the period

From the given information,

T = 10 minutes

Thus,

f = 1/10 = 0.1 min⁻¹

Now, we can determine the wavelength

λ = v/f

λ = 600/0.1

λ = 6000 ft

Now, convert 6000 ft to miles

NOTE: 5280 ft = 1 mile

∴ 6000 ft = 6000/5280 miles

6000 ft = 1.14 miles

Hence, the distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

Learn more on Calculating wavelength here: brainly.com/question/11281839

#SPJ1

4 0
2 years ago
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