Answer:
799
Step-by-step explanation:
<span>Using the
formula d=m/v, we first need to convert 5.0 and 45.0 to their SI unit
equivilents. 5.0g is 0.005kg, 45.0cm^3 becomes 0.000045m^3.Therefore, the density of your cube is 0.005/0.000045=111.11 kg/m^3(5 s.f)</span>
Answer:
3x+1/2x
Step-by-step explanation:
When simplifying algebraic expressions, we should first factorise each term fully to find any common factors. First we should factorise the numerator where 3x2-8x-3 factorises to (3x+1)(x-3). Next, we should factorise the denominator where 2x2-6x factorises to 2x(x-3). Now we see that (x-3) is the highest common factor of both the numerator and denominator, hence we can "cancel" the (x-3) term from both the numerator and denominator. Therefore, the expression simplifies fully to (3x+1)/(2x)
Answer:
25
Step-by-step explanation:
Answer:
(i) the other two sides are 6 and 6
(ii) the other two sides are 
Step-by-step explanation:
(i) Sine: sin(θ) = Opposite ÷ Hypotenuse
Cosine: cos(θ) = Adjacent ÷ Hypotenuse
Tangent: tan(θ) = Opposite ÷ Adjacent
Here adjacent side = 6
opposite side = d
angle = 45°
other angles are 90° and 45°
tan (45) = Opposite ÷ Adjacent
1 = d ÷ 6
∴ d = 6 × 1 = 6
so opposite side = 6
Hypotenuse ² = opposite side ² + adjacent side²
= 6² + 6²
= 36 + 36
= 72
hypotenuse = 
= 6
the other two sides are 6 and 6
(ii) here adjacent side = 4√3
angle = 30°
other angles are 90° and 60°
opposite side = d
tan ( 30) = opposite ÷ adjacent
= d ÷ 4√3
= d × (
)
3 d = 4
therefore d = 
therefore opposite side = 
Hypotenuse ² = opposite side ² + adjacent side²
=(
)² +(
)²
= 
therefore hypotenuse = 
=
the other two sides are 