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vova2212 [387]
3 years ago
9

A right triangle has legs of 5 ft and 6 ft. What is the length of the hypotenuse? _____ ft. A. 7.8 B. 3.3 C. 11.0 D. 1.0

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

<h2>7.8</h2>

Option A is the correct option.

Step-by-step explanation:

Base (b) = 5 ft

Perpendicular (P) = 6 ft

Hypotenuse (h) = ?

Now,

Using Pythagoras theorem,

{h}^{2}  =  {p}^{2}  +  {b}^{2}

{h}^{2}  =  {(6)}^{2}  +  {(5)}^{2}

{h}^{2}  = 36 + 25

{h}^{2}  = 61

h =  \sqrt{61}

h = 7.8 \: ft

Hope this helps...

Good luck on your assignment

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How many people in a car? A study of rush-hour traffic in San Francisco counts the number of people in each car entering a freew
emmasim [6.3K]

Answer:

a) No. It is not normal.

b) The probability that 700 randomly selected cars at this freeway entrance will carry more than 1075 people is 0.104

Step-by-step explanation:

<u>(a) Could the exact distribution of the count be Normal?</u>

The exact distribution of the number of people in each car entering a freeway at a suburban interchange is not normal. Because the count is <em>discrete </em>and <em>can assume values bigger or equal to one</em>.

<u>(b) The probability that 700 randomly selected cars at this freeway entrance will carry more than 1075 people.</u>

The probability we seek is the cars carrying people with mean more than \frac{1075}{700}=1.5357

That is P(z>z*) where z* is the z-score of 1.5357.

z* can be calculated using the equation:

z*=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the mean value wee seek for its z-score (1.5357)
  • M is the average count of people entering a freeway at a suburban interchange. (1.5)
  • s is the standard deviation of the count (0.75)
  • N is the sample size (700)

Thus z*=\frac{1.5357-1.5}{\frac{0.75}{\sqrt{700} } } ≈ 1.26

We have P(z>1.26)=1-P(z≤1.26)= 1-0.896 = 0.104

5 0
3 years ago
Can someone help please?
poizon [28]

Answer:

a = 45.14

Step-by-step explanation:

First we need to determine whether this is a non-right triangle or a right triangle.

Since we have two angles already, we can determine whether the third angle is a right or non-right angle:

The sum of all the angles in a triangle will always add up to 180, so we have

180 - (62 + 28) = 180 - 90 = 90

Since we have a right triangle and only one side, we can use trigonometry to find the measure of a.

If we use ∠A as the reference angle, side a is our opposite angle and side c is our adjacent angle.  

This means we must use tangent as tan=\frac{opposite}{adjacent}:

tan (62)=\frac{a}{24}\\ 24*tan(62)=a\\45.137=45.14 = a

3 0
3 years ago
What is the answer? PLZ help me
inna [77]
What is your question?
3 0
3 years ago
I need help thank you
lesya692 [45]

Answer:

B.

Step-by-step explanation:

There are two 1/4's, five 1/2's, and three 3/4's.

So this means,

There will be two x's above 1/4,

Five x's above 1/2,

And three x's above 3/4,

Line plot B is the only line plot that matches this.

Therefore option B is the answer.

3 0
2 years ago
9. Which correctly describes the root of the following cubic equation?
katrin2010 [14]
Option B is the answer and that because the photo below
3 0
3 years ago
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