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:9.0875
Step-by-step explanation:
[2.4–(0.3–3.21)÷2+0.44÷(−2)]÷ 2/5=
[4.8:2-(-2.91):2-0.44:2]:2/5=
=[(4.8+2.91-0.44):2]*5/2=
=[(7.71-0.44):2]*5/2=
=(7.27:2)*5/2=(7.27*5):(2*2)=
=36.35:4=9.0875
Answer:
D
Step-by-step explanation:
If we isolate the variable in each given compound inequality, we can quickly realize that D is correct.
x is less than or equal to four (solid point on 4 with line going left), but greater than -1 (open point going right).
Signs with 'or equal to' have solid points, and signs without are not solid.
I hope this helps!
Answer: THe last one.
Step-by-step explanation:
This question is, in essence, basically asking which numbers are less than -3. Looking at the numbers, it is clearly the last set.
