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Alexus [3.1K]
3 years ago
11

Calculate the value of angle A and C of ∆ ABC. Where b=1435cm, a= 782cm and B= 115.6°.​

Mathematics
1 answer:
Monica [59]3 years ago
5 0

The Law of Sines says

\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c}

\sin A = \dfrac a b \sin B

A = \arcsin( \dfrac{782}{1435} \sin 115.6 ) = 29.44^\circ

We don't have to worry about the obtuse supplement because a triangle can only have one obtuse angle, and that's B.

C = 180 - 115.6 - 29.44 = 34.96^\circ

Answer: A=29.44°, C=34.96°

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(20 points and brainlest to whoever answers correctly!!!)
Stells [14]

Answer:

y = -2/3x - 11

Step-by-step explanation:

Steps to find the perpendicular bisector:

1) Find the midpoint of line PQ

Midpoint formula: (\frac{x_{1} + x_{2} }{2} \\, \frac{y_{1} + y_{2}}{2})

Midpoint of line PQ = (6, -2)

2) Find the slope of line PQ

Slope formula: \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

Slope of line PQ = 3/2

3) Find the negative reciprocal of the slope of PQ

To find the negative reciprocal just swap the numerator and denominator and add a negative sign. If it is already negative it will become positive.

In this case it will be -2/3

4) Write the equation of line PQ in slop-intercept form.

Slope-intercept form: y = mx + b

This is what it will look like for line PQ: y = \frac{3}{2}x + b

5) Plug the points of the midpoint into the line and solve for the intercept (b)

This is what it will look like: -2 = \frac{3}{2}(6) + b

-2 = 18/2 + b

-2 = 9 + b

-11 = b

6) Write the equation of the perpendicular bisector

m = the negative reciprocal of the slope of PQ = -2/3

This is what the equation will look like: y = -2/3x - 11

Hope this helped! Please give Brainliest!

5 0
3 years ago
the measure of one side of a square is (s + 3) inches long. which pair of expressions both represent the perimeter of this squar
Akimi4 [234]
An expression could be 4(s+3). Hope it helps! :)
4 0
2 years ago
Read 2 more answers
At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.
riadik2000 [5.3K]

Answer:

$$2.25

Step-by-step explanation:

Let b = the cost of one brownie, c = cost of one cookie

3b + 5c = 11

b+2c = 3.95

Times 3 on both sides on the second equation above to get the following:

3b + 6c = 11.85

3b+6c - (3b+5c) = 11.85-11

3b+6c-3b-5c = 0.85

c = 0.85

To find the value of b, use substitution:

b+2c = 3.95

b = 3.95-2c

= 3.95 - 2\times0.85

= 2.25

\therefore the cost of a brownie is $$2.25

Hope this helps :)

4 0
3 years ago
A = {a, b, c, d}
Helen [10]

Answer:

Johnny is wrong.

A \cup B = \left\{a,b,c,d,e,f,g,h\right\}

Step-by-step explanation:

Johnny is wrong.

A better definition would be: A \cup B is the set of all elements that belong to at least one A or B.

So, the elements that belong to both A and B, like c and d in this exercise, also belong to A \cup B.

So:

A \cup B=\left\{a,b,c,d,e,f,g,h\right\}

4 0
3 years ago
What is the value of the expression?<br> 8 1/2-2+4 3/4
kodGreya [7K]
11 1/4 or 11.25 is the answer
7 0
3 years ago
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