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Serga [27]
3 years ago
11

Consider a triangle ABC like the one below. Suppose that B=36°, C= 62°, and b= 40. (The figure is not drawn to scale.) Solve the

triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

A=82°

a= 67.4

c = 60.1

Step-by-step explanation:

For A

A+B+C =180°

A= 180-(B+C)

A= 180-(36+62)

A= 189-(98)

A= 82°

For a

a/sinA= b/sinB

a/sin82= 40/sin36

a= (40*sin82)/sin36

a=( 40*0.9903)/0.5878

a=67.39

Approximately = 67.4

For c

c/sinC= b/sinB

c= (sinC*b)/sinB

c= (sin62*40)/sin36

c =(0.8829*40)/0.5878

c = 60.08

Approximately = 60.1

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please help me The question involves multiplying two complex numbers, then turning it into an a+bi equation (pictures included)
Sloan [31]

Answer:

  (a, b) = (0, -15)

Step-by-step explanation:

In "cis" form the product of two complex numbers is the product of their magnitudes at the angle that is the sum of their angles. I find this the easiest way to multiply complex numbers.

  z1 × z2 = (3 cis π)(5 cis π/2)

  = (3·5) cis (π +π/2)

  = 15 cis 3π/2

Of course, "cis" is short for "cosine + i·sine", so you have ...

  z1 × z2 = 15 cis 3π/2 = 15(cos(3π/2) +i·sin(3π/2))

  = 15(0 +i·(-1))

  = 0 -15i

(a, b) = (0, -15)

8 0
3 years ago
Find the volume of a cone with a radius of 12 units and a height of 6<br> units.
svlad2 [7]
The volume is 905.32 i believe

12(12)=144, 144(3.14)=452.16, 452.16(6)=2712.96, 2712.96/3=904.32
7 0
3 years ago
How can you use the measures of center and the range to compare two populations?
DochEvi [55]

The measure of center and range to be used to compare the population is the median and the inter quartile range.

<u>Explanation:</u>

You utilize the median and the interquartile range (IQR) to portray skewed distributions of information. To look at two populaces, utilize the mean and the MAD when the two populations are symmetric. Utilize the middle and the IQR when possibly one or the two circulations are slanted.

In statistics and probability theory, the median is the worth isolating the higher half from the lower half of an information test, a populace or a likelihood circulation. For an informational collection, it might be thought of as the "center" esteem.

8 0
3 years ago
What is 4÷3/5? <br>A. 6 <br>B. 6 2/5 <br>C. 6 2/3 <br>D. 8
nekit [7.7K]

Answer:

C. 6 2/3

Step-by-step explanation:

3/5 = 0.6

4 divided by 0.6 = 6.7 (rounded to the nearest tenth)

2/3 = .7 (rounded to the nearest tenth)

therefore , your answer is C

5 0
3 years ago
Read 2 more answers
What number is represented by −3x²+√2x+1/2 when x=√2?
Mila [183]

Answer:

at x = \sqrt{2},  -3x^{2} + \sqrt{2}x + \frac{1}{2} = -3.5

Step-by-step explanation:

The given equation is -3x^{2} + \sqrt{2}x + \frac{1}{2}

Now, substitute the value of x = \sqrt{2} in the above equation.

The given equation simplifies to,

-3(\sqrt{2})^{2} + (\sqrt{2})(\sqrt{2}) + \frac{1}{2}

now, \sqrt{2} . \sqrt{2}  = 2, \textrm{and} (\sqrt{2} )^{2} = 2

So, the equation become

-3(2) + 2 + (1/2) = -6 + 2 + \frac{1}{2}   = -4 + \frac{1}{2} = \frac{-8 + 1}{2}  = \frac{-7}{2}  

= -3.5

So, at x = \sqrt{2},  -3x^{2} + \sqrt{2}x + \frac{1}{2} = -3.5

6 0
3 years ago
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