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Art [367]
3 years ago
11

Solve the triangle A=52degrees, b=10, c=7

Mathematics
2 answers:
shepuryov [24]3 years ago
6 0
Let the triangle is ABC

a^2=b^2+c^2-2bc*cos(A)=100+49-(2*10*7)(cos52)\\a=7.29

c^2=b^2+a^2-2ab*cos(C)\\
49=100+53.16-(2*10*7.29)(cos(C))\\~\\C=49.35

A+B+C =180
52+B+49.35=180

B=78.65
Talja [164]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that a triangle has two sides, A= 52 deg, b=10, c=7

Use cosine law to get

a = \sqrt{b^2 + c^2 - 2bccos(A)}  = 7.92511

\∠B = arccos( \frac{a^2 + c^2 - b^2}{2ac} = 1.46418 rad = 83.891 degrees= 83°53'28"∠C = arccos( \frac{a^2 + b^2 - c^2}{2ab} = 0.76985 rad = 44.109° = 44°6'32"

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13^-11x13^16x13^-3x13^^4x13^-5
stiv31 [10]
Since the bases are all 13, keep the base and add the powers.
13^(-11 + 16 + -3 + 4 + -5)
13^1 = 13
4 0
4 years ago
A new building is being constructed at UT Austin. It is 200 feet tall, and has a
Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = 150 +2x

Width of the total area will be = width of the building + width of walkway from 2 sides = 100 +2x

Now Total area(around and including the building) = Length of the total area\times Width of the total area

(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\

x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\

Now solving for both equation we get.

x+128=0\\x=-128\\x-3=0\\x=3

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

4 0
3 years ago
Read 2 more answers
(3-х)<br> -Чx<br> What is the awnser for this ?
aleksandrvk [35]

Answer:

-1x or 1x

Step-by-step explanation:

7 0
3 years ago
How do i do these using the following functions
attashe74 [19]

Step-by-step explanation:

(f+g)(x) means f(x) + g(x).

(f−g)(x) means f(x) − g(x).

So all you have to do is add them and subtract them.

1. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (3x − 7) + (2x − 4)

(f+g)(x) = 5x − 11

2. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (3x − 7) − (2x − 4)

(f−g)(x) = 3x − 7 − 2x + 4

(f−g)(x) = x − 3

3. (f+g)(x) = f(x) + g(x)

(f+g)(x) = (2x + 3) + (x² + ½ x − 7)

(f+g)(x) = x² + 2½ x − 4

4. (f−g)(x) = f(x) − g(x)

(f−g)(x) = (2x + 3) − (x² + ½ x − 7)

(f−g)(x) = 2x + 3 − x² − ½ x + 7

(f−g)(x) = -x² + 1½ x + 10

6 0
4 years ago
Help me please!!!!!! It’s math btw.
FrozenT [24]
1.  The 5/65 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
\frac{5a^3 bc^2}{65 a^4 bc} = \frac{c}{13a}

2.  The 10/125 can be simplified, the a³ moves to the denominator, and bc is canceled from the numerator and denominator.
\frac{10a^3bc^2}{125a^4bc} = \frac{2c}{25a}

3.  The 65/5 simplifies, the a³ moves to the numerator, and bc is canceled from the numerator and denominator.
\frac{65a^4 bc^2}{5a^3 bc} = 13ac

4.  The 10/130 simplifies, the b² cancels out in the numerator and denominator, and the c^4 moves to the numerator.
\frac{10b^2 c^5}{130a^4b^2c^4} = \frac{c}{13a^4}

5.  The 10/130 simplifies, the b² cancels out in the numerator and denominator, the a^4 moves to the numerator, and the c^4 moves to the numerator.
\frac{10a^5b^2c^5}{130a^4b^2c^4} = \frac{ac}{13}


I believe the only expression that simplifies to \frac{c}{13a} is the first one.
7 0
3 years ago
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