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KiRa [710]
3 years ago
8

Sin(x+24) = Cos(y-x) ; Tan(z-24) - Tan(y-z)=0 find: Cos(y-z)

Mathematics
1 answer:
Delvig [45]3 years ago
4 0
<h3>Answer:</h3>

Cos(y-z) = Cos(z-24)

<h3>Step-by-step explanation:</h3>

You have two equations in three unknowns, so no solution for the unknowns is possible.

The tangent equation tells you ...

... tan(z -24) = tan(y -z)

... z -24 = y -z . . . . . . take the arctangent

... cos(y -z) = cos(z -24) . . . . take the cosine

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If an object weighs 120 pounds on earth how much will it way on mars
butalik [34]
The surface gravity of Mars is 3.7 m/s².  On Earth it is 9.8 m/s².  3.7/9.8 = 38%.

So 38% of 120 lbs is 45 pounds.
 
8 0
3 years ago
Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10
ivann1987 [24]
X = 42

x/3 - 4 = 10
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x = 42
4 0
3 years ago
What is 314.16 rounded to the nearest hundredth
Galina-37 [17]

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

4 0
2 years ago
At the beginning of the season, MacDonald had to remove 5 orange trees from his farm. Each of the remaining trees produced 210 o
Rainbow [258]

he initial number of trees was 204.

<h3>How to find the initial number of trees?</h3>

The first step to finding the initial number of trees is to write an equation that represents the situation.

  • T is equal to the initial number of trees.
  • 5 trees were removed = t - 5
  • Each tree produces 210 oranges = (t-5) (210)
  • The total of oranges is 41,780 = (t-5) (210)= 41,780

  • Solve the equation:

  • (t-5) (210)= 41,780
  • t-5= 41,780 / 210
  • t-5 = 198.95
  • t = 198.95 + 5
  • t = 203.9

This number can be rounded as 204.

Note: This question is incomplete; here is the missing section:

Find the initial number of trees.

Learn more about equation in: brainly.com/question/2263981

6 0
2 years ago
The sum of two numbers is 54 . the smaller number is 12 less than the larger number. what are the numbers?
Andreas93 [3]
<span>Let x=one number and x+12= the other number.  Together the numbers=54.  Set up the equation:  x+x+12=54;  Combine the variables;  2x+12=54;  Subtract 12 from both sides of the equation;  2x=42; Divide both sides of the equation by 2;  x=21 is one number and 21+12=33 is the other number.  Check:  2(21) +12=54;  42+12=54;  54=54.</span>
5 0
3 years ago
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