The synodic month, or complete cycle of phases of the Moon as seen from Earth, averages 29.530588 mean solar days in length (i.e., 29 days 12 hours 44 minutes 3 seconds); because of perturbations in the Moon’s orbit, the lengths of all astronomical months vary slightly. The sidereal month is the time needed for the Moon to return to the same place against the background of the stars, 27.321661 days (i.e., 27 days 7 hours 43 minutes 12 seconds)
Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
In other words, same factor in both numerator and denominator.
<u>Let's factorize the denominator:</u>
- x² - 7x + 10 = x² - 5x - 2x + 10 = x(x - 5) - 2(x - 5) = (x - 2)(x - 5)
<u>We have same factor of x - 5:</u>
we get, x = 1 and y = 5
Step-by-step explanation:
from first equation we get,
y = 4x +1
then,
putting the value of y in second equation :-
=》3x + 2y = 13
=》3x + 2 (4x + 1) = 13
=》3x + 8x + 2 = 13
=》11x = 13 - 2
=》11x = 11
=》 x = 11 / 11
=》 x = 1
putting the value of x in equation 1
=》y = 4x + 1
=》y = (4 × 1) + 1
=》y = 4 + 1
=》y = 5
2 tens, 6 ones because the 2 is in the 10s place and the 6 is in the ones
Answer:
AC ≈ 5.87
General Formulas and Concepts:
<u>Math</u>
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Angle θ = 50°
Opposite Leg = 7
Adjacent Leg = BC
<u>Step 2: Solve for BC</u>
- Substitute in variables [tangent]: tan50° = 7/AC
- [Multiplication Property of Equality] Multiply AC on both sides: ACtan50° = 7
- [Division Property of Equality] Isolate AC: AC = 7/tan50°
- Evaluate: AC = 5.8737
- Round: AC ≈ 5.87
