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krok68 [10]
3 years ago
10

For number 18 what is X

Mathematics
1 answer:
Sonja [21]3 years ago
8 0
The answer is 6. plug it in for yourself and you will see
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Select the correct answer from the drop down menu. with references to the figure, sin x =
Lubov Fominskaja [6]

Answer:

.894

Step-by-step explanation:

First thing to do is to solve for the height of the triangle, BD.  That's easy.  We have the length of the hypotenuse and the base, so Pythagorean's Theorem gives us that the height is 8.003255588 which rounds nicely to 8.  Now you have to call on the fond memories you have of the geometric mean in right triangles to solve the rest.  For the sin of x you need the hypotenuse of that smaller right triangle on the left, side AB.  First let's use geometric mean to find AD.  The formula for that, now that we know the height, is

BD^2=(AD)(DC)

Filling that in with numbers we have

8^2=(AD)16 and

64 = 16(AD).  Solve for AD to get that AD has a length of 4.  Now we know two of the three sides in that smaller triangle on the left and can solve for the hypotenuse.

8^2+4^2=c^2 and

64+16=c^2 so

c=√80 which simplifies to 4√5.  That means that the sin ratio for x is

\frac{8}{4\sqrt{5} }

which divides out to .894

6 0
3 years ago
Please help!<br> Remember what we know about vertical angles and solve for x. <br> Answer:
aleksklad [387]
Please help!
Remember what we know about vertical angles and solve for x.
Answer:
4 0
3 years ago
A1=1 , an= 4a n-1 -1
Readme [11.4K]
<span>for part (a) find the sum of the first n terms of the arithmetic series. for part (b) find n for the given sum Sn.
45. 3+8+13+18+23+...
a. n=20
b. Sn=366
46. 50+42+34+26+18+...
a. n=40
b. Sn=182
47. -10+(-5)+0+5+10+...
a. n=19
b. Sn=375
48. 34+31+28+25+22+...
a. n=32
b. Sn=-12
49. 2+9+16+23+30+...
a. n=68
b. Sn=1661
50. 2+16+30+44+58+...
a. n=24
b. Sn=2178
</span>
4 0
3 years ago
A board measures 19.5 meters in length is cut into two pieces. One piece measures 7.2 meters. Write and solve an equation to fin
Naddik [55]

Answer:

7.2+x=19.5

x=19.5-7.2

x=12.2

Step-by-step explanation:

4 0
3 years ago
Please help me with this problem
nadya68 [22]
Which Problem Do You Need Help With?
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