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Hitman42 [59]
3 years ago
11

Three cars are driving on a racetrack. The mean speed of the three cars is 100 miles per hour. Car X drives 101 miles per hour a

nd Car Y drives 116 miles per hour. Use the mean to estimate the speed of Car Z. Then find the actual speed of Car Z.
Mathematics
1 answer:
evablogger [386]3 years ago
6 0

Answer:

Less than 100. Z=83

Step-by-step explanation:

The mean is the average found by adding the sum of the data points and dividing by the number of them. Here there are 3 cars whose speeds are 101, 116, and Z or unknown. The mean of them is 100. Solve for Z.

100 =(101+116+Z)/3

300=217+Z

83=Z

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Write the equation of the line that passes through (-1,4) and parallel to -x + 2y = 6.
NARA [144]

Answer:

make y the subject first

Step-by-step explanation:

y=x/2 +3

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-4=1/2(x-(-1))

y=1/2(x) +1/2+4

final answer

y=1/2(x) +9/2

3 0
3 years ago
V = 128 – 32t
tamaranim1 [39]

Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y  / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4

Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128

It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.

3 0
3 years ago
Relative to the circle with the equation x^2 + y^2 = 4 how has the circle with the equation (x+5)^2 + (y-6)^2 = 4 been shifted,
jolli1 [7]
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You buy a chocolate and a vanilla cupcake from a bakery. Each cupcake cost $3.50. What would be your total if you were charged 8
Trava [24]
You would be charged $7.56 for the two cupcakes
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3 years ago
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Need answer ASAP!!!!! This is a picture of the Ilanaaq Inukshuk, a monument to the 2010 Winter Olympics in Vancouver, British Co
dolphi86 [110]
<h2>Answer:</h2>

If we measure the <u>shadow of the monument and the shadow of one of the persons</u>, at the same moment, we can use the first Thales' Theorem to calculate the height of the inushuk, knowing the height of the person.  

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.  

Having this established, the theorem is:  

<em>Two triangles are similar when they have equal angles and proportional sides  </em>


In this case of the inukshuk and the person, we have two similar triangles (Figure attached) where H is the height of the inukshuk, h is the height of the person, A is the length of the shadow of the inukshuk and a is the length of the shadow of the person.  

In addition, because both triangles are similar, their angles are similar as well. This means that the relation between two sides of the big triangle is equal to the relation between two sides of the small triangle:  

\frac{H}{A}=\frac{h}{a} (1)


All these lengths can be directly measured, except H, which is the value we want to to find.  

So, in order to approach this problem we have to find H from equation (1):  

H=\frac{A}{a}h >>>>This is the height of the Ilanaaq Inukshuk



3 0
3 years ago
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