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hichkok12 [17]
3 years ago
7

What is the measure of angle c?​

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

50 degrees

Step-by-step explanation:

Okay! So first off, because this is NOT a right triangle, we can't use soh cah toa. That means we can either use the law of sines or the law of cosines.

Because we only have sides here and no angles, we are forced to use the law of cosines.

c^2 = a^2 + b^2 − 2ab cos(C)

c = 6

b = 7.5

a = 6.5

36 = 6.5^2 + 7.5^2 - 2(6.5)(7.5)cos(C)

36 = 98.5 - 97.5cos(C)

-62.5 = -97.5cos(C)

0.641 = cos(C)

angle C = cos^-1(0.641)

angle C = 50.13 which is around 50 degrees

Remember! A dumb thing i always used to do in geometry was use radians instead of degrees, be sure to use degrees here because you are looking for degrees. Radians are for things involving not degrees, but PI.

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4 0
3 years ago
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Kelly made 4 dresses with 7 yards of fabric.How many jars did you use for one dress
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Kelly used 1.75 yards of fabric in each dress she made
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Write the vector v in terms of i and j whose magnitude ||v|| and direction 0 are given. ||v|| = 4, 0 = 315 degree v= (Type your
victus00 [196]

Answer:

  v = 2√2i -2√2j

Step-by-step explanation:

  v = ||v||·cos(θ)i +||v||·sin(θ)j

  v = 4cos(315°)i +4sin(315°)j . . . . . . fill in the numbers

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6 0
3 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

20% = 0.2

0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
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anyanavicka [17]

Answer:

y = 40x + 35

Step-by-step explanation:

Let x represent each month of service in the equation

Since it is $40 for each month, the price for each month can be represented by 40x.

The $35 fee will represent the y intercept, and will be added to 40x in the equation.

Put this together in the equation y = mx + b

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So, the linear equation to model the situation is y = 40x + 35

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3 years ago
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