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Delicious77 [7]
2 years ago
13

If 1 cm represents 35 miles what is 1.25 cm in miles?

Mathematics
1 answer:
lapo4ka [179]2 years ago
8 0

Answer:

43.75 miles

Step-by-step explanation:

You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75

8.75+35=43.75

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Voltage sags and swells. The power quality of a transformer is measured by the quality of the voltage. Two causes of poor power
zysi [14]

Answer:

a

 z-score = 1.57

b

 z-score_s = -3.36

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  103  

    The  sample mean of  sag is  \= x_1 =  353

     The sample mean of swells is  \= x_2 =  184

    The standard deviation of  sag is  s_1  =  30

     The standard deviation of swells is  s_2  =  25

     The number of swell for a randomly selected transformer is  k  =  100

      The number of sag for a randomly selected transformer is  c  =  400

Generally the z-score for the number of swells is mathematically represented as

     z-score_s = \frac{ k - \= x_2}{s_2}

=>   z-score_s = \frac{ 100- 184}{25}

=>     z-score_s = -3.36

       

Generally the z-score for the number of sags is mathematically represented as    

      z-score = \frac{ c - \= x_1}{s_1}

     z-score = \frac{ 400 - 353}{30}

     z-score = 1.57

4 0
3 years ago
Triangle ABC has vertices at A(-3,4)B(4,-2)C(8,3).The triangle is translated 4 units down and 3 units left . Which rule represen
FinnZ [79.3K]

Answer:

see explanation

Step-by-step explanation:

A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is

(x, y ) → (x - 3, y - 4 )

Thus

C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )

8 0
3 years ago
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
How much greater is √47 than √37?
Sever21 [200]

Answer:

C.

<em><u>hope this helps :)</u></em>

7 0
3 years ago
what is an equation of the line that passes through the point (6, 8) and is perpendicular to a line with equation y=3/2x 5
Evgen [1.6K]

Answer:

y= -2/3x+12

Step-by-step explanation:

3 0
2 years ago
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