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Zanzabum
3 years ago
7

Solve for angle A with sides 6,10,9

Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

c = 13.52 units.

Step-by-step explanation:

So for this, lets use the Law of Sines, which says that:

Sin A / a = Sin B / b = Sin C / c

We have everything for this except the the angle measure of angle C. This can be found by doing 180 - 80 - 33, since the total interior angle measure of a triangle always equals 180 degrees.

180 - 80 - 33 = 67 degrees

With this, we can use the angle & side of A/a as well as the angle of C to get the side of c by using the Law of Sines

Sin A / a = Sin C / c

sin 33/8 = sin 67/c

c = 8*sin67 / sin 33

c = 13.52 units.

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If $380 is invested for one year at 13% simple interest, how much interest is earned?
pashok25 [27]

Answer: $49.4

Step-by-step explanation:

Simple interest is calculated thus:

Principal × Rate × Time

Principal= $380

Rate= 13%= 13/100=

Time= 1

Therefore interest earned =380× 0.13×1

=$49.4

7 0
3 years ago
X/2-1/5=x/3+1/4<br>solve this equation ​
Alekssandra [29.7K]

Answer:

x=\frac{27}{10}

Step-by-step explanation:

\frac{x}{2}-\frac{1}{5}=\frac{x}{3}+\frac{1}{4}

\frac{x}{2}-\frac{1}{5}-\frac{x}{3}=\frac{x}{3}+\frac{1}{4}-\frac{x}{3}

-\frac{1}{5}+\frac{x}{6}=\frac{1}{4}

-\frac{1}{5}+\frac{x}{6}+\frac{1}{5}=\frac{1}{4}+\frac{1}{5}

\frac{x}{6}=\frac{9}{20}

\frac{6x}{6}=\frac{9\times \:6}{20}

x=\frac{27}{10}

3 0
3 years ago
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Which of the following is an equation of the line through (2,3) and (-1,-12)
ahrayia [7]

Answer:

y = 5x - 7

Step-by-step explanation:

Using the equation of a line with two points

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

Giving two points

( -4 , 10)(16 , -2)

x_1 = -4

y_1 = 10

x_2 = 16

y_2 = -2

Using the above formula

y_2 - y_1 / x_2 - x_1 = y - y_1 / x - x_1

-12 - 3 / -1 - 2 = y - 3 / x - 2

-15/-3 = y - 3 /x - 2

Cross multiply

-15(x - 2) = -3(y - 3)

-15x + 30 = -3y + 9

-15x + 30 + 3y - 9 = 0

-15x +30 - 9 + 3y = 0

-15x + 21 + 3y = 0

3y = 15x - 21 ( following y = mx + C

Dividing through by 3 to find y

3y/3 = 15x -21 / 3

y = 15x - 21 / 3

We can still separate

y = 15x / 3 - 21/3

y = 5x - 7

Therefore, the equation of the line is

y = 5x - 7

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3 years ago
What is the solution to the system of equations shown in the graph?​
nikdorinn [45]

Answer:

D

Step-by-step explanation:

It's supposed to ask you to find the intersection of two lines

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