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goldenfox [79]
3 years ago
12

Trigonometry

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
7 0

Answer:

Step-by-step explanation:

For a triangle the area is

A=\frac{1}{2}bh

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4.  If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4.  To find the base, then, which is opposite the angle, we use the sin ratio:

sin(20)=\frac{b}{4} and

4sin(20) = b so

b = 1.368

But we need the whole base, and that is only half of it.  So

2b = 2.736

To find the height, which is adjacent to the angle, we use the cos ratio:

cos(20)=\frac{h}{4} and

4cos(20) = h so

h = 3.759

Now we have enough info to find the area of the triangle using the triangle area formula from above:

A=\frac{1}{2}(2.736)(3.759) and

A = 5 meters squared.

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66

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Hope this helps! :)

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3 years ago
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There is no overlap between the data

Step-by-step explanation:

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Some people use a rule to see how many hours a child should sleep at night. Subtract the child's age in years from 30, then divi
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2 years ago
WILL GIVE BRAINLIEST!! PLEASE SHOW YOUR WORK!
LenKa [72]

Simplify:

Solution ===>  −7      +     12    −     3(50    −    4(2     +      3))   =========>      -85

=       5       −         3(50        −     4(2      +     3))

=        5       −       3(50      −       (4)(5))

=        5        −     3(50     −     20)

=        5       −        (3)(30)

=        5      −      90

=               −85

Answer   ================>         -85









Simplify:

1/3   +   6(2/3     -      1/6)^2

1/3    +     6(1/2)^2

1/3     +    6(1/4)

1/3     +      3/2

Answer    =======>    11/6   =========>      Decimal  =======>    1.833333.....






Hope that helps!!!!                                                         : )



5 0
3 years ago
If n = 5 and r = 3 Find "Cr.​
Marat540 [252]

Answer:

Cr = 10

Step-by-step explanation:

To calculate combinations we use the nCr formula: nCr = n! / r! * (n - r)!, where n = number of items, and r = number of items being chosen at a time.

C(n,r)=[?]

C(n,r)=C(5,3)

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

=\frac{5!}{3!*2!}

=10

[RevyBreeze]

3 0
3 years ago
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