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Afina-wow [57]
3 years ago
7

Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards

through the first hallway to get to the next. In the afternoon, she walks 60 yards through a second hallway to exit the building. What are the possible lengths of the third hallway that she did not walk through? between 30 yards and 60 yards between 30 yards and 90 yards between 30 yards and 120 yards between 30 yards and 150 yards
Mathematics
2 answers:
lilavasa [31]3 years ago
6 0

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

<u><em>Possible length of 3rd side would be between "x - y" and "x + y"</em></u>

<u><em /></u>

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

timurjin [86]3 years ago
6 0

Answer:

its D between 30 and 150 just took test on ed got a 100

Step-by-step explanation:

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The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis
natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

S=v\cdot t,

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.

8 0
4 years ago
About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil
Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

nCx=\frac{n!}{x!(n-x)!}

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

7 0
3 years ago
Z is the midpoint of XY<br> XY = 27
Nimfa-mama [501]

X=13.5

Y=13.5

Therefore Z is 13.5

4 0
2 years ago
Help please multiply matrix D by matrix E.
aleksandr82 [10.1K]
It's going to be a 3x2. Im assuming its [ 5 10 on the first row, second row would be -2, -4, then the bottom row would be 1, 2] Hope I helped!

3 0
3 years ago
Read 2 more answers
Mrs. Chip bought 2 sheets and a blanket and paid $41. Mrs. Dale bought a sheet and 4 blankets and paid $80.
Katyanochek1 [597]

Answer:

  • Sheet = $12
  • Blanket = $17

Step-by-step explanation:

<u>Let the cost of a sheet be s and cost of a blanket be b</u>

  • 2s + b = 41
  • s + 4b = 80

<u>From the first equation we get:</u>

  • b = 41 - 2s

<u>Substitute in the second equation</u>

  • s + 4*(41 - 2s) = 80
  • s + 164 - 8s =  80
  • 7s = 84
  • s = 12

<u>Then</u>

  • b = 41- 2*12 = 17
6 0
3 years ago
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