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lara [203]
3 years ago
11

What can be used to explain a statement in a geometric proof

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

Answer:

corollary,postulate,theorem,definition

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Which one is greater? 0.5 or 1/3
fredd [130]
The answer is 0.5 because 0.5 is 1/2 in fraction form.
7 0
3 years ago
Read 2 more answers
Two cruise ships leave port at the same time. Ship A sails north at a speed of 20 mph while Ship B sails east at a speed of 40 m
tiny-mole [99]

Answer:

a) D(t) = \[20*\sqrt{5} * t\]

b) 178.885 miles

Step-by-step explanation:

Ship A travels north at the rate of 20 mph.

Ship B travels east at the rate of 40 mph.

After t hours, Ship A is at a distance of 20t miles from the origin.

Similarly, Ship B is at a distance of 40t miles from the origin.

(a) Distance D(t) = \[\sqrt{(20t)^{2}+(40t)^{2}}\]

= \[\sqrt{400*t^{2}+1600 * (t)^{2}}\]

= \[\sqrt{2000*t^{2}}\]

= \[20*\sqrt{5} * t\]

(b) Distance between the two ships when t = 4,

= \[20*\sqrt{5} * 4\]

= \[80*\sqrt{5} \] miles

= 80 * 2.236

= 178.885 miles

8 0
3 years ago
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x<110)? (The greater than sign is act
kvasek [131]

Using the normal distribution, the probability that x is less than 110 is:

A. 0.975.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given as follows:

\mu = 98, \sigma = 6

The probability is the <u>p-value of Z when X = 110</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{110 - 98}{6}

Z = 2

Z = 2 has a p-value of 0.975.

Hence option A is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

5 0
2 years ago
What’s the fourth question about the big wheel please help
Lapatulllka [165]

Answer:  62.83 m

<u>Step-by-step explanation:</u>

The distance of one rotation is the perimeter of the wheel <em>(which is called "circumference" since it is in the shape of a circle)</em>

Circumference (C) = 2 π · radius (r)

C = 2π (10)

  = 20π

  ≈ 62.83

7 0
3 years ago
a goat is kept in a rectangular field 14.5 metre by 22 m. it is tied to a pole at the centre of the field with the chain that is
jolli1 [7]

Area of the rectangle: 14.5 x 22 = 319 square meters.

Area the goat can reach ( area of a circle): 3.14 x 2.5^2 = 19.625 square meters.

Now subtract the area of the circle from the area of the rectangle:

319 - 19.625 = 299.375 square meters.  (Round the answer as needed.)

6 0
3 years ago
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