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valentina_108 [34]
2 years ago
8

The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to f

ind the temperature at noon?
Mathematics
1 answer:
dezoksy [38]2 years ago
6 0
X - 20 = 24

Add 20 to both sides

x = 24 + 20 = 44
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Using the equation F = 1.8C + 32, find the temperature in °C if it is 92°F. Round your answer to the nearest whole number if nec
Andru [333]

Answer:

  33 °C

Step-by-step explanation:

Put 92 where F is in the equation, and solve for C.

  92 = 1.8C +32 . . . . substitute for F

  60 = 1.8C . . . . . . . . subtract 32

  60/1.8 = C ≈ 33.33 ≈ 33 . . . . . divide by the coefficient of C, round the result

The temperature is about 33 °C.

8 0
2 years ago
find the magnitude of two forces f1 and f2 such that at right-angle to each other, their resultant is √13N. Also, if the two for
serious [3.7K]
This can be solved a couple of ways. One way is to use the Pythagorean theorem to write equations for the magnitude from the components of the forces. That is what was done in the graph here.

Another way is to use the Law of Cosines, which lets you make direct use of the angle between the vectors.
.. 13 = a^2 +b^2 -2ab*cos(90°)
.. 19 = a^2 +b^2 -2ab*cos(120°)
Subtracting the first equation from the second, we have
.. 6 = -2ab*cos(120°)
.. ab = 6

Substituting this into the first equation, we have
.. 13 = a^2 +(6/a)^2
.. a^4 -13a^2 +36 = 0
.. (a^2 -9)(a^2 -4) = 0
.. a = ±3 or ±2

The magnitudes of the two forces are 2N and 3N, in no particular order.

5 0
3 years ago
I need the answer. !’
EleoNora [17]

Answer:

B) -9

Step-by-step explanation:

31+2= 33 --> -33 + 49= --> 16

-5x-5= 25

16 -25 = -9

3 0
3 years ago
Two candidates are randomly selected. a. List all the possible outcomes. b. What is the probability that both are qualified? c.
steposvetlana [31]

Question:

Four candidates are to be interviewed for a job. Two of them, numbered 1 and 2, are qualified, and the other two, numbered 3 and 4, are not.

Answer:

a. S = {12,13,14,23,24,34}

b. 1/6

c. ⅔

Step-by-step explanation:

Let S = Sample Space i.e. total possible outcomes

Given that candidates 1 and 2 are qualified and 3 and 4 are not qualified.

If two candidates are randomly selected. The list of all possible outcomes is as follows

S:{12,13,14,23,24,34}

And the number of outcomes is 6

b. What is the probability that both are qualified?

The event that both are qualified is given as {12} or {21}

From the sample space in (a) above, there's only one occurrence of {12} = 1

So, the probability is calculated as 1/6

c. What is the probability that exactly one is qualified?

The event that one one is qualified is given as {13,14,23,24}

Total = 4

Probability = 4/6

Probability = ⅔

5 0
3 years ago
Explain the phrase conservation of energy and provide an example.
liubo4ka [24]

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

3 0
3 years ago
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