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4vir4ik [10]
3 years ago
5

I'm so lost in trigonometry please help​

Mathematics
1 answer:
Alexandra [31]3 years ago
5 0
<h2>Answer:  A. 0.52 is the correct answer.</h2>

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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

p=28.726

Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

now, we can plug values

A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

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4 years ago
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The school principal wants to order 2 pencils for the 425 students in the school. How many boxes should she order?
olganol [36]
How many pencils are in each box
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3 years ago
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A tank is filling with water from a natural spring. Two days ago the water was ten feet deep, and yesterday the water was 12 fee
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2d + 14 ( "d" is the number of days after today, and "14" comes from how many feet deep the water is today)
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3 years ago
Simplify. (−5p4z6u)3
sineoko [7]
The rules of exponents tell you that you can distribute the exponent to each of the factors. When one already has an exponent, those exponents multiply.
(-5p^{4}z^{6}u)^{3}=(-5)^{3}\cdot(p^{4})^{3}\cdot(z^{6})^{3}\cdot u^{3}\\\\=-125p^{4\cdot 3}z^{6\cdot 3}u^{3}\\\\=-125p^{12}z^{18}u^{3}
4 0
3 years ago
Find the solutions of the quadratic equation by finding the square root: x2 - 3 = 7.
Masja [62]

Answer:

<em>x = - √10, and x =√10</em>

Step-by-step explanation:

1. Let us add 3 to either side of the equation: x^2 - 3 + 3 = 7 + 3

2. That equation would simplify to: x^2 = 10

3. Now let us take the square root on either side: √x^2 = √10

4. Being square root of x^2, we could say that: | x | = √10

5. And thus 2 answer may be derived from this equation provided absolute value symbol ( | | ): <em>x = - √10, and x =√10</em>

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3 years ago
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