Answer:
1) 11
2) 2
3)
4)
5) -2
6)
Step-by-step explanation:
1) 2 + 3
-
=(2 × 2 )+ (3 × 4
) - 5
= 4 + 12
- 5
= 11
2) 4 -2
+
= (4 × 2) - (2 × 7
) + 8
= 8 - 14
+8
= 2
3) 5 - 3
= 5× - 3×
+ 4×
+ 2×
=
=
4)
=
=
5)
=
= -2
6)
=
= 2× - 2×
-
=
=
Hope the working out is clear and will help you. :)
Answer:
3.) 0.894
Step-by-step explanation:
✔️First, find BD using Pythagorean Theorem:
BD² = BC² - DC²
BC = 17.89
DC = 16
Plug in the values
BD² = 17.89² - 16²
BD² = 64.0521
BD = √64.0521
BD = 8.0 (nearest tenth)
✔️Next, find AD using the right triangle altitude theorem:
BD = √(AD*DC)
Plug in the values into the equation
8 = √(AD*16)
Square both sides
8² = AD*16
64 = AD*16
Divide both sides by 16
4 = AD
AD = 4
✔️Find AB using Pythagorean Theorem:
AB = √(BD² + AD²)
AB = √(8² + 4²)
AB = √(64 + 16)
AB = √(80)
AB = 8.9 (nearest tenth)
✔️Find sin x using trigonometric ratio formula:
Reference angle = x
Opposite side = BD = 8
Hypotenuse = AB = 8.944
Thus:
(nearest thousandth)