Answer:
1. 34.4°
2. 18.8°
3. 37.7°
4. 36.6°
5. 40.6°
6. 7.5
7. 12.3
8. 14.7
9. 22.0
10. 6.3
Step-by-step explanation:
1. The missing angle is found by the use of the sine.
Sine ∅= opposite/ hypotenuse
=13/23
sin⁻¹(13/23)=34.4°
2. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/50
Tan⁻¹(17/50)=18.8°
3. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=17/22
Tan⁻¹ (17/22) = 37.7°
4. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=21/28
Tan⁻¹ (21/28)=36.9°
5. The missing angle is calculated by the use of the tan.
Tan∅=opposite/adjacent
=24/28
Tan⁻¹ (24/28) = 40.6°
6. Missing side is calculated by considering the tan of 58°
Tan 58°=12/x
x=12/Tan 58°
=7.5
7. Missing side is calculated by considering the sine of 43°
Sin 43°= opposite / hypotenuse
Sin 43 =x/18
x= 18 Sin 43
=12.3
8. Missing side is calculated by considering the sine of 62°
Sin 62° = 13/x
x=13/Sin 62°
=14.7
9. Missing side is calculated by considering the tan of 36°
Tan 36°= 16/x
x=16/Tan 36°
=22.0
10. Missing side is calculated by considering the sine of 23°
Sin 23° = x/16
x=16 Sin 23
=6.3
Answer:
First one
Step-by-step explanation:
3s=5s-6
3 x^{2} + 8x +(-4) = 0
x = <u>-b + √ b² - 4ac</u>
2a
x = <u>-8 + √ 8² - 4(3)(-4)</u>
2(3)
x = <u>-8 + √64 - 48 </u>
6
x = -<u>8 + √16
</u> 6<u>
</u>x = -<u>8 + 4 </u> x = <u>-8 - 4</u>
6 6<u>
</u>x = <u>-4 </u> x = <u>-12</u>
6 6
x =<u> -2 </u> x = -2<u>
</u> 3 <u>
</u>
