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Sergio039 [100]
3 years ago
5

A laser bean anchored in a wall originates 4 feet from the ground and is aimed at a mirror on the floor 6 feet from the wall. Th

e laser beam reflects off the mirror and hits the opposite wall where a target is placed at (19.5, 9). Write and absolute value equation to model the path of the laser beam. Use your equation to determine if the laser hits the target. Let b = 1.
Mathematics
2 answers:
natima [27]3 years ago
8 0
............................it’s 6-(19.5,9)then you cross multiply that with the b
meriva3 years ago
3 0

Answer:

y=2/3|x-6|

the laser will hit the target

Step-by-step explanation:

vertex= (6, 0)

point= (0, 4)

y=a|x-6|

4=a|0-6|

4=a|-6|

4=a|6|

4=6a

a=4/6

a=2/3

Final Equation

y=2/3|x-6|

plug it into a graphing calculator like desmos and you will see that it touches all the points and it works.

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The mean time it takes to walk to the bus stop is 8 minutes (with a standard deviation of 2 minutes) and the mean time it takes
11111nata11111 [884]
(a) Average time to get to school
Average time (minutes) = Summation of the two means = mean time to walk to bus stop + mean time for the bust to get to school = 8+20 = 28 minutes

(b) Standard deviation of the whole trip to school
Standard deviation for the whole trip = Sqrt (Summation of variances)

Variance = Standard deviation ^2
Therefore,
Standard deviation for the whole trip = Sqrt (2^2+4^2) = Sqrt (20) = 4.47 minutes

(c) Probability that it will take more than 30 minutes to get to school
P(x>30) = 1-P(x=30)
Z(x=30) = (mean-30)/SD = (28-30)/4.47 ≈ -0.45
Now, P(x=30) = P(Z=-0.45) = 0.3264
Therefore,
P(X>30) = 1-P(X=30) = 1-0.3264 = 0.6736 = 67.36%

With actual average time to walk to the bus stop being 10 minutes;

(d) Average time to get to school
Actual average time to get to school = 10+20 = 30 minutes

(e) Standard deviation to get to school
Actual standard deviation = Previous standard deviation = 4.47 minutes. This is due to the fact that there are no changes with individual standard deviations.

(f) Probability that it will take more than 30 minutes to get to school
Z(x=30) = (mean - 30)/Sd = (30-30)/4.47 = 0/4.47 = 0

From Z table, P(x=30) = 0.5
And therefore, P(x>30) = 1- P(X=30) = 1- P(Z=0.0) = 1-0.5 = 0.5 = 50%
8 0
3 years ago
A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of
Zigmanuir [339]

Answer:

0.16km

Step-by-step explanation:

A highway engineer wants to compute  the change in elevation of a section of road. The horizontal distance of this section of road is 2km and downgrade is 8%

The slope formula is given by

m=\frac{rise}{run}=\frac{x}{y}

m = 8% = 8/100

run = y = 2km

m =\frac{x}{y}

\frac{8}{100} =\frac{x}{2}

\frac{2*8}{100} =x

x=\frac{16}{100} =0.16km

Verification:

m=\frac{0.16}{2}= 0.08=8%%

3 0
3 years ago
Read 2 more answers
What is 1 to 4 and 3 to 12?​
zloy xaker [14]

Answer:

1:4 and 3:12

Step-by-step explanation:

They are equivalent! Hope this helps! :)

7 0
2 years ago
Read 2 more answers
Find the perimeter of the figure to the nearest hundredth. Sorry to ask ANOTHER question on this stuff but I'm doing an assignme
WARRIOR [948]

Answer:

I did my best, but it has been a while. I really hope that this helps

Step-by-step explanation:

so you can find the perimeter of a circle

-----The perimeter of a circle is π × d where d is the diameter so half of that is 1/2 π × d. But If you are going to walk around a semicircle, you need to go halfway around the circle and then across a diagonal to get back to where you started, so the perimeter is 1/2 π × d + d.

7 0
2 years ago
Ryan gave seven of his model cars to a friend then he bought six more cars now Ryan has 13 cars how many did Ryan start with
Fed [463]
Gave away 7 ⇒ -7

Bought 6 ⇒ + 6

Left with 13

If he did not buy the 6 cars ... 
13 - 6 = 7
If he did not give the 7 cars away ...
7 + 7 = 14

He has 14 cars at first.


13 - 6
5 0
2 years ago
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