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2 years ago

Find the value of C in a triangle where a = 6, b = 8, and c = 12.

Mathematics

1 answer:

ELEN [110]2 years ago

7 0

Answer: 117°

<u>Step-by-step explanation:</u>

Use the Law of Cosines:

c² = a² + b² - 2ab · cos C

12² = 6² + 8² - 2(6)(8)(cos C)

144 = 36 + 64 - 96 cos C

144 = 100 - 96 cos C

44 = -96 cos C

$-\dfrac{44}{96}=cosC\\\\\\cos^{-1}\bigg(-\dfrac{44}{96}\bigg)=C$

117° = C

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Explain how an insurance company can pay a large benefit even if it hasn’t collected that amount from an individual’s premiums.

tester [92]

Answer: charging in premiums in exchange for insurance coverage???

Step-by-step explanation:

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2 years ago

Eleven subtracted from two times a number is -31.

erica [24]

Answer:

x=-10

Step-by-step explanation:

$2x-11=-31\\$

Add 11 on both sides.

$2x-11=-31\\2x=-20\\2x/2x=-20/2\\x=-10$

7 0

1 year ago

Angl is a square. The equation of line NG is Y= 1/2 X - 6. Find the equation of line LG in slope intercept form given that the c

Irina18 [472]

Answer: y=-2x-9

Step-by-step explanation:

If ANGL is a square, then NG and LG are adjacent sides.

Adjacent sides are perpendicular. [Each angle is 90°]

The equation of line NG is $Y=\dfrac12 X-6$ .

By comparing it to equation in slope intercept form y=mx+c ( where , m= slope , c=y-interecpt)

slope = $\dfrac12$

Let slope of LG be <em>n</em>, then

$n\times \dfrac{1}{2}=-1$ [Product of slopes of two perpendicular line =-1]

$\Rightarrow n=-2$

Equation of a line passes through (a,b) and have slope m is given by :-

$(y-b)=m(x-a)$

Equation of LG :

$(y-1)=-2(x-(-5))\\\\\Rightarrow\ y-1=-2x-10\\\\\Rightarrow\ y=-2x-9$ [In intercept form]

3 0

2 years ago

Let f(X)=3√x

SOVA2 [1]

g(x) = 3√(x-5) -1

The process of altering a graph to produce a different version of the preceding graph is known as graph transformation. The graphs can be moved about the x-y plane or translated. They may also be stretched, or they may undergo a mix of these changes.

Horizontal stretching: It means the graph is elongated or shrink in x direction.

Vertical stretching : It means the graph is elongated or shrink in y direction

Vertical translation : It means moving the base of the graph in y direction

Horizontal translation : It means moving the base of the graph in x direction

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

Therefore, in order to move the graph down 1 units, we need to subtract given function by 1 , we get

g(x) = 3√x -1

According to rules of transformation f(x+c) shift c units left and f(x-c ) shift c units right.

Therefore, in order to move the graph left by 5 units, we need to add given function by 5 , we get

g(x) = 3√(x-5) -1

To learn more about graphical transformation, refer to brainly.com/question/4025726

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4 0

1 year ago

60% of what number is 75

kramer

$60\% \ of \ x =75 \\\\ \frac{60}{100}*x=75\\\\ \frac{6}{10}=\frac{75}{x} \\\\ \frac{3}{5}*\frac{75}{x} \\\\ x=\frac{5*75}{3} \\\\ x=5*25 \\\\ \boxed{x=125}$

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3 years ago