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solniwko [45]
3 years ago
8

Please help me. the questions is in the attachments. i will give yall 98 points. Help?

Mathematics
2 answers:
Greeley [361]3 years ago
6 0

Answer:

a=48.7

b=51.43484959

c=112.1565686

d = 122.393202


Step-by-step explanation:

We can find the hypotenuse of the right triangle

sin theta = opposite/hypotenuse

sin 23.6 =49/d

Multiply d on each side

d sin23.6 =49

Divide by sin 23.6

d sin 23.6/ sin23.6 = 49/ sin23.6

d = 122.393202

We can find c using Pythagorean theorem

49^2 + c^2 =d^2

2401 + c^2= 122.393202^2

2401 + c^2=14980.09589

Subtract 2401 from each side

2401-2401 + c^2=14980.09589-2401

c^2 = 12579.09589

Take the square root of each side

sqrt(c^2) = sqrt(12579.09589)

c=112.1565686

We can find b from sin theta = opposite /hypotenuse

sin 72.3 = 49/b

Multiply b on each side

b sin72.3 =49

Divide by sin 72.3

b sin 72.3/ sin72.3 = 49/ sin72.3

b = 49/ sin72.3

b=51.43484959


The three angles of the triangle add to 180

The big angle at the top, call it A

90 +23.6 +A = 180

Combine like terms

113.6 +A = 180

Subtract 113.6 from each side

113.6-113.6+A = 180-113.6

A =66.4

The three angles of the triangle add to 180

The small angle next to a, call it a'

90 +72.3 +a' = 180

Combine like terms

162.3 +a' = 180

Subtract 162.3 from each side

162.3-162.3 +a' = 180-162.3

a' = 17.7

The angle a is the difference between A and a'

a = A - a'

a = 66.4-17.7

a=48.7

Flauer [41]3 years ago
4 0
The value of a is the least than the b and c you have to divide the numbers, don’t know if this makes sense if It doesn’t I can explain more.
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Input Data :

Point 1 ( x A , y A )  = (-6, -2)

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Find the distance between two given points on a line.

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Distance between two points =  √ ( x B − x A )2 + ( y B − y A ) 2

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3 years ago
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Step-by-step explanation:

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Kobotan [32]

Answer:

p = \frac{35}{13} and q = \frac{6}{13}

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the <em>elimination method</em>

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[2p - 3q = 4]        x 3

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6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

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<u>  -   [6p + 4q = 18]   </u>  

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<u />

<u>(c)</u> Next, make q subject of the formula in equation (v)

      q = \frac{6}{13}

(d)  Now substitute the value of q = \frac{6}{13} into equation (i) as follows;

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(e)  Now, solve for p in d above

<em>Multiply through by 13;</em>

26p - 18 = 52

<em>Collect like terms</em>

26p = 52 + 18

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<em>Divide both sides by 2</em>

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p = \frac{35}{13}

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