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3 years ago

How is a corollary related to a theorem.

1 answer:

6 0

A statement that follows with little or no proof required from an already proven statement. For example, it is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. A corollary to that statement is that an equilateral triangle is also equiangular

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Ben walks 25 miles from home to work. If he walks the first 5 miles in 1 hour, the second 5 miles in 1.4 hours, the third 5 mile

natka813 [3]

Answer:

The total time taken to complete 25 miles is 7.6 hours.

Solution:

Ben walks 5 miles in 1 hour,

Second 5 miles in 1.4 hours,

Third 5 miles in 1.7 hours,

Last 5 miles in 1.8 hours

So he walked total 20 miles in (1+1.4+1.7+1.8) hours = 5.9 hours = 6 hours (approximately)

So his average speed is $\left(\frac{20}{6}\right)$ miles/hours = 3.33 miles/hours.

i.e. he travels 3.3 miles in 1 hour,

Then, he travels 1 miles in $\left(\frac{1}{3.3}\right)$ hours

Hence the total time he will take to walk 25 miles is $\left(25 \times\left(\frac{1}{3.3}\right)\right) \text { hours }$ $\Rightarrow \left(\frac{25}{3.3}\right) \text { hours } = 7.5757 hours$

That is approximately 7.57 or 7.6 hours.

8 0

3 years ago

I need help with this question, I will give brainliest

PolarNik [594]

Answer:

Step-by-step explanation:

trust me

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3 years ago

Read 2 more answers

A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 met

sweet-ann [11.9K]

Answer: The building is 35 meters tall.

Step-by-step explanation:

420 divided by 24 is 17.5

17.5 x 2 is 35

(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)

8 0

2 years ago

What is the relationship between 5.34×1055.34×105 and 5.34×10−25.34×10−2 ?

storchak [24]

5+2=7 which means there will be 7 zeros so it is 10000000 times greater than

7 0

3 years ago

Read 2 more answers

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0

3 years ago