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IRINA_888 [86]
3 years ago
11

What is the perimeter of the trapezoid graphed below?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
5 0
Each slanty side is sqrt(29).
So the perimeter is 8+2sqrt(29) .
Zanzabum3 years ago
3 0
To get the perimeter of the trapezoid, we will add the lengths of the 4 sides together.
So, first we will need to get the length of each side.

Base of trapezoid = 8 - 2 = 4 units
The upper edge of the trapezoid = 6 - 4 = 2 units

Now, for the two side edges, we can note that they are both equal. So, we need to get only one length (as the other would be the same). I will get the length of the left side.
Coordinates of the start point are (2,4) which represent (x1,y1)
Coordinates of the end point are (4,9) which represent (x2,y2)
To get the distance between the two points, we will use the rule attached in the image below as follows:
distance = sqrt ((4-2)^2+(9-4)^2)
distance = √29
Therefore, each of the side edges equal √29 units

From the above, we can now easily get the perimeter as follows:
perimeter = 6 + 2 + √29 + √29
perimeter = 8 + 2√29 units

Based on the above calculations, the best choice would be:
D. 8 + 2√29 units

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De
Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is,\lambda=\frac{1}{\mu}=\frac{1}{7}.

The probability density function of <em>X</em> is:

f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx

                      =\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0
3 years ago
Factorise = <br> 5m + 20
taurus [48]
So 20=2 itmes m2 times 5

5m=5 times m

so
5m=20
5 times m=2 times 2 times 5
divid eboth sides y 5
m=2 times 2
m=4
8 0
3 years ago
A pre-election survey showed that 3 out of every 5 citizens would vote in an election. At this rate, how many people would be ex
noname [10]

Answer:

9600 people would vote.

Step-by-step explanation:

3/5 = .6

16,000 * .6 = 9600

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Simplify 2(a+5)−3(5a−4)
Nutka1998 [239]

Answer:

-13a+22

Step-by-step explanation:

we have

2(a+5)-3(5a-4)

step 1

Apply the distributive property  both terms

2a+2(5)-3(5a)+3(4)

2a+10-15a+12

step 2

Combine like terms

(2a-15a)+(10+12)

(-13a)+(22)

-13a+22

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What is the square root of 4761?
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Answer:

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Step-by-step explanation:

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