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Murljashka [212]
2 years ago
11

Why is the formula for the area of a triangle one half the area for a rectangle

Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0
The area of a triangle is one half the area for a rectangle because the triangle is half of a rectangle with equal base and height
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Please help me with this!!! I will mark brainlist!!!
jeka94

Answer: The value of Angle F = 47

Step-by-step explanation:

6 0
2 years ago
Julio says,"If you subtract 15 from my number and multiply the difference by -7,the result is -175." What is Julios number
maw [93]

Answer: 40

Step-by-step explanation:

Assume Julio's number is x.

The expression would be:

-7 * (x - 15) = -175

x - 15 = -175/-7

x = -175/-7 + 15

x = 40

7 0
2 years ago
The graph compares distance in yards and distance in feet.
Zielflug [23.3K]

Answer:

yards = \frac{1}{3} feet

Step-by-step explanation:

The graph is a straight line passing through the origin with equation

y = mx ( m is the slope )

Calculate slope using gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 2) ← 2 points on the line

m = \frac{2-0}{6-0} = \frac{2}{6} = \frac{1}{3}


the x- axis is feet and the y-axis is yards, hence

yards = \frac{1}{3} feet


5 0
3 years ago
Read 2 more answers
In a library, there are 12 books in each of the 4 shelves but then Jamie takes away 3 books. Choose the correct expression and e
Nonamiya [84]

Answer:

I think Thts the answer

Step-by-step explanation:

(12x4)-3

3 0
2 years ago
Fast Food and Gas Stations Forty percent of all Americans who travel by car look for gas stations and food outlets that are clos
Andrei [34K]

Answer:

a

mean \mu =  10 variance \sigma^2  = 6

b

The binomial random variable x fall into this interval ranges from

     - 5  to  5

c

P(6 \le x \le 14) =  0.8969  

Step-by-step explanation:

From the question we are told that

  The sample size is  n  =  25

   The  percentage that look for gas stations and food outlets that are close to or visible from the highway is  p =  0.40

Generally the mean is mathematically represented as

       \mu  =  n *  p

=>     \mu  =  0.40 * 25

=>    \mu =  10

The variance is mathematically represented as

      \sigma^2  =  np(1- p )

=>   \sigma^2  =  25 * 0.40(1- 0.40 )

=>    \sigma^2  = 6

The  standard deviation is mathematically evaluated as

     \sigma  =  \sqrt{\sigma^2}

     \sigma  =  \sqrt{6}

    \sigma  = 2.45

The  interval is evaluated as

       p\pm  2 \sigma

=>   p -  2 \sigma\ \ \ , \ \ \  p + 2\sigma

=>   0.40 -  2 *2.45\ \ \ , \ \ \  0.40 + 2* 2.45

=>   -4.5\ \ \ , \ \ \ 5.3

The binomial random variable x fall into this interval ranges from

     - 5  to  5

Generally

    P(6 \le x \le 14) =  P(\frac{ x -  \mu }{\sigma }  \le  \frac{14 - 10}{{2.45}} ]-P[  \frac{ x -  \mu }{\sigma }   \le \frac{6 - 10}{2.45 } ]

     P(6 \le x \le 14) =  P(Z  \le 1.63 ]-P[ Z  \le -1.63 ]

     P(6 \le x \le 14) =  [1- P(Z  > 1.63 ]] -[1- P[ Z  > -1.63 ]]      

From the z-table  

                 P(Z  > 1.63 ) = 0.051551

And

                P(Z  >- 1.63 ) =0.94845

=>        P(6 \le x \le 14) =  [1-0.051551] -[1-0.94845]      

=>        P(6 \le x \le 14) =  0.8969  

7 0
2 years ago
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