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padilas [110]
4 years ago
5

Determine b , given that A = 63°, C = 49°, and c = 3. Round answers to the nearest whole number. Do not use a decimal point or e

xtra spaces in the answer or it will be marked incorrect.

Mathematics
2 answers:
Tatiana [17]4 years ago
6 0
Angle B = 68 degrees
Using the Law of Sines
b / sin(B) = c / sin (C)
b = sin (68) * c / sin (49)
b = 0.92718 * 3 / 0.75471
b = <span> <span> <span> 2.78154 </span> </span> </span> / 0.75471
<span> <span> <span> b = 3.6855745916


</span></span></span>
padilas [110]4 years ago
6 0

Answer:

b=4

Step-by-step explanation:

Let us draw a triangle ABC, with A = 63°, C = 49°, and c = 3.

In the triangle ABC,

A +B +C = 180°

63°+B+49°= 180°

B = 180°-63°-49°

B = 68°

Use Sine law to find b

\frac{c}{sin C}=\frac{b}{\sin B}\\\\\frac{3}{\sin49}=\frac{b}{\sin68}\\\\b=\frac{3\sin68}{sin49}\\\\b=3.7

In the nearest whole number b = 4

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A cylinder and a cone have the same volume. the cylinder has a radius x and height y. the cone has a radius of 1/2 x. find the h
vovikov84 [41]

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3 years ago
What is the value of x?<br><br> _________ *
Flura [38]

Look at the picture.


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x^o+109^o+28^o=180^o\\\\x^o+137^o=180^o\ \ \ |-137^o\\\\x^o=43^o

7 0
3 years ago
What is the constant of proportionality<br>help me what does this mean pls tell me​
Fantom [35]

Answer:

The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx.

Step-by-step explanation:

The constant value (often written k) relating amounts that rise or fall uniformly together. It is the ratio of the amounts y and x: k = y/x. Put another way: y = kx.

3 0
3 years ago
Read 2 more answers
Determine the coordinates of the intersection of the diagonals of square ABCD with verticals A(-4,6), B(5,6) C(4,-2), and D(-5,-
timama [110]

Given:

Vertices of a square are A(-4,6), B(5,6) C(4,-2), and D(-5,-2).

To find:

The intersection of the diagonals of square ABCD.

Solution:

We know that diagonals of a square always bisect each other. It means intersection of the diagonals of square is the midpoint of diagonals.

In the square ABCD, AC and BD are two diagonals. So, intersection of the diagonals is the midpoint of both AC and BD.

We can find midpoint of either AC or BD because both will result the same.

Midpoint of A(-4,6) and C(4,-2) is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-4+4}{2},\dfrac{6+(-2)}{2}\right)

Midpoint=\left(\dfrac{0}{2},\dfrac{6-2}{2}\right)

Midpoint=\left(\dfrac{0}{2},\dfrac{4}{2}\right)

Midpoint=\left(0,2\right)

Therefore, the intersection of the diagonals of square ABCD is (0,2).

4 0
3 years ago
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