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lys-0071 [83]
2 years ago
11

Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3

.25 ⋅ 103 seconds?
Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer.
Mathematics
1 answer:
cluponka [151]2 years ago
6 0
Pa:485.6

Pb:3947.9

Hope this helped!! :)
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Use the pythagorean theorem to solve the problem. Round your answer to the nearest tenth if necessary.
zmey [24]

Answer:

11.31 ft

Step-by-step explanation:

Here in this problem ladder forms a right triangle with the wall of the house and it is acts as hypotenuse, length of one leg of right triangle given to be 4 feet.

Let the ladder reaches x ft height of the house.

Hence, by Pythagoras theorem:

{12}^{2}  =  {4}^{2}  +  {x}^{2}  \\  144 = 16 + {x}^{2}  \\  {x}^{2}  = 144 - 16 \\  {x}^{2}  = 128 \\ x =  \sqrt{128}  \\ x = 11.3137085 \\ x = 11.31 \: ft

Hence, the ladder reaches 11.31 ft height of the house.

4 0
3 years ago
A clothing store at the mall receives a shipment of 312 sweaters. The shipment comes in 12 boxes with the same number of sweater
Marina86 [1]
26 sweaters in each box
7 0
3 years ago
Read 2 more answers
the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the seque
stealth61 [152]

Answer:

54

Step-by-step explanation:

Tn = an²+bn

T2 = a2²+2b

2 = 4a +2b

Multiply all through by 2

4 = 8a +4b

4b = 4-8a

T4 = a4² + 4b

20 = 16a +4b

4b = 20-16a

4-8a = 20-16a

16a -8a = 20-4

8a = 16

a = 16/8 = 2

4b = 4-8a = 4-8(2) = 4-16 = -12

b = -12/4 = -3

T6 = a6² + 6b

T6 = 2(36) + 6(-3) = 72 -18 = 54

7 0
2 years ago
Read 2 more answers
Is my answer correct??
Ivanshal [37]

Answer: Last option.

Step-by-step explanation:

For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.

By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.

In this case, you have the Right triangle EFH  given in the picture attached.

You can notice that FG goes from the vertex of right angle (\angle F=90\° ) to the hypotenuse EH. Therefore, it divides the hypotenuse into two segments. These are:

EG and GH

Therefore, FG is the geometric mean of the segments EG and GH.

6 0
3 years ago
i need help please! I think I know the answer but for some reason my brain's telling me that it's wrong so if someone could expl
Ivenika [448]

Considering the slopes of the segments, the correct option is:

D. No, because the triangle ABC doesn't have a pair of perpendicular sides.

<h3>When are lines parallel, perpendicular or neither?</h3>

The slope, given by <u>change in y divided by change in x</u>, determines if the lines are parallel, perpendicular, or neither, as follows:

  • If they are equal, the lines are parallel.
  • If their multiplication is of -1, they are perpendicular.
  • Otherwise, they are neither.

Here, we have to find if there are perpendicular segments, that is, if two slopes multiplied have a value of -1, then:

  • mAB = (-7 - 9)/(11 - 1) = -8/5.
  • mAC = (3 - 9)/(-9 - 1) = 3/5.
  • mBC = (3 - (-7))/(-9 - 11) = -1/2.

No sides are perpendicular, hence option D is correct.

More can be learned about slopes at brainly.com/question/20847660

#SPJ1

6 0
2 years ago
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