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monitta
3 years ago
12

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 55°, a = 12, b = 14

Mathematics
2 answers:
Mkey [24]3 years ago
6 0
The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
poizon [28]3 years ago
4 0

Answer:

B = 72.9°, C = 52.1°, c = 11.6; B = 107.1°, C = 17.9°, c = 4.5

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What is the value of x in the equation 9/10 (x + 2/3)=4 1/2
garri49 [273]
Get the x variable on one side and the numbers another side.

9/10(x + 2/3) = 4 1/2

Distribute the 9/10 across the x and 2/3.

(9/10)x + 18/30 = 4 1/2

Simplify 18/30 to make our life easier.

(9/10)x + 3/5 = 4 1/2

Subtract 3/5 from each side of the equation.

(9/10)x = 3 9/10

Divide both sides by 9/10.

x = 4 1/3
4 0
3 years ago
Read 2 more answers
The sum of four consecutive numbers is 42 what is the smallest number
vredina [299]
Let us take a number x
The four consecutive numbers will be
x+1, x+2, x+3

Thus our equation will be
x + x+1 + x+2 + x+3 = 42
4x + 6 = 42
4x = 36
x= 36/4
x= 9

Thus the four numbers are (substitute)
x=9
x+1=9+1=10
x+2=9+2=11
x+3=9+3=12

9,10,11,12
6 0
3 years ago
Read 2 more answers
Please answer I’ll rate brainlyest
12345 [234]

Answer:

5P3*6C4=60*15=900

Step-by-step explanation:

5P3 refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;

5P3=\frac{5!}{(5-3)!}

The factorial of an integer n is evaluated as;

n!=n*(n-1)*(n-2)*(n-3).......3*2*1

Using this concept, the above expression can now be simplified as follows;

5P3=\frac{5!}{2!}=\frac{5*4*3*2!}{2!}=5*4*3=60

Therefore, the permutations of 5 items taken 3 at a time is 60.

The next expression, 6C4 refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;

6C4=\frac{6!}{4!(6-4)!}=\frac{6!}{4!*2!}=\frac{6*5*4!}{4!*2*1}=\frac{6*5}{2*1}=15

Therefore, the combinations of 6 items taken 4 at a time is 15.

The final step is to evaluate the product;

5P3*6C4=60*15=900

3 0
3 years ago
Describe the error in the work shown. 62​ + 3 + 5 x 2 ​ ​ 36 + 8 x 2 ​36 + 16 52
makkiz [27]

Answer:

There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.

Step-by-step explanation:

There is an error in the implication of the DMAS rule of Mathematics.

DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.

The DMAS Rules describes the following arrangement of the mathematical functions.

1st Division

2nd Multiplication

3rd Addition

4th Subtraction

Applying the above rule the solution is as follow

62​ + 3 + 5 x 2 ​ ​

First, we need to solve the Multiplication because there is no division

62​ + 3 + 10

Now perform the addition function

65 + 10

75

6 0
3 years ago
Please show all work thanks
Luba_88 [7]
What grade r u in omg I would help but I don't understand I either
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