Answer:
nj +k = p
Step-by-step explanation:
n = (p-k)/j
Multiply each side by j
nj = (p-k)/j *j
nj = p-k
Add k to each side
nj +k p-k+k
nj +k = p
Answer:

Step-by-step explanation:
The given expression is

We need to find the simplified form of the given expression.
It can be rewritten as

Combine integers and fractions separately.

Taking LCM we get


In can be written as




Therefore, the expression
is equivalent to the given expression.
Answer:
47
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x−3(−44−23)=13
Step 1: Simplify both sides of the equation.
−4x+201=13
Step 2: Subtract 201 from both sides.
−4x+201−201=13−201
−4x=−188
Step 3: Divide both sides by -4.
−4x
−4
=
−188
−4
x=47
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674
Sin51=y/12
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)