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Ksivusya [100]
2 years ago
12

Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t

all, how tall is the tree?
Mathematics
1 answer:
Trava [24]2 years ago
5 0

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}

\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

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2 2/5% as a fraction
fiasKO [112]

Answer:

3/125

Step-by-step explanation:

2 2/5 divided by 100

12/5 divided by 100

equals 3/125

6 0
3 years ago
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Elijah walked 6 miles in 3 hours.what was his walking rate in hours per miles?
postnew [5]

Answer:

2 Miles per hour

Step-by-step explanation:

velocity (speed) formula is distance/time.

In this case, 6/3=2

5 0
3 years ago
The space shuttle flight control system called PASS (Primary Avionics Software Set) uses four independent computers working in p
tigry1 [53]

Answer:

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

Step-by-step explanation:

Recall that a <em>probability mass function</em> defined on a discrete random variable X is just a function that gives the probability that the random variable equals a certain value k

f_X(k)=P(X=k)

In this case we have the event  

“The computer will ask for a roll to the left when a roll to the right is appropriate” with a probability of 0.003.

Then we have 2 possible events, either the computer is right or not.

Since we have 4 computers in parallel, the situation could be modeled with a binomial distribution and the probability mass function

f_X(k)=\binom{4}{k}0.003^k0.997^{4-k}

This gives the probability that k computers are wrong at the same time.

6 0
3 years ago
It is between yes or no
Vlad1618 [11]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
15 feet of edging costs $24.98. How much will 28 yards cost?
GuDViN [60]

Answer:

  139.888 $

Step-by-step explanation:

Data :

   15 ft = 24.98$

   So

  1 yard = 3 ft

15ft / 3 ft = 5 yard

So  

   5 yard  = 24.98$

28 yd / 5yd = 5.6

    5.6 × 24.98 =  139.888

6 0
2 years ago
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