Answer:
5√3
Step-by-step explanation:
The ratio of side lengths in a 30-60-90 triangle is ...
1 : √3 : 2
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Multiplying by 5, we have ...
1 : √3 : 2 = x : y : 10 = 5 : 5√3 : 10
The value of y is 5√3.
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<em>Additional comment</em>
y is the side adjacent to the 30° angle, so can be found from ...
Cos = Adjacent/Hypotenuse
Adjacent = Cos × Hypotenuse . . . . . multiply by hypotenuse
y = cos(30°)×10 = (√3)/2 × 10 . . . . . . substitute corresponding values
y = 5√3
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The value of x is 5.
The series is increasing by 8 each time.
So that means the complete series is:
1, 9, 17, 25, 33, 41, 49
Add the last 5 digits:
49 + 41 + 33 + 25 + 17 = 165
Answer:
165
Answer:
a
Step-by-step explanation:
Answer:
138°
Step-by-step explanation:
∠YUV creates arc YV. Circle Z is made up of arc UV (84°) and arc YV. Solve for the measure of arc YV. (A circle equals 360°)
84° + x = 360°
arc YV = 276°
arc YV is formed from a secant and a tangent. Because of this ∠YUV is half of arc YV.
276° ÷ 2 = 138°
∠YUV = 138°
Brian (I think you meant Brian haha..) is incorrect because the tenth place is the number right after the decimal which is a 4. If you are rounding to the tenth place that means that you have to look at the number to the right of that, which is 4. 5 and up means you round up and 4 and down means you round down. This is a 4, so you keep the 4 after the decimal and get rid of the last 4. Therefore, when rounded it would be: 4.4.
Hope this helped! Good luck! :)
