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____ [38]
3 years ago
8

What is the length of segment CD question mark

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

CD = two square root of 10 end square root

Step-by-step explanation:

To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).

d = \sqrt{(y_2-y_1)^2 + (x_2-x_1)^2} \\\\d = \sqrt{(-4--2)^2 + (-7--1)^2} \\\\d = \sqrt{-2^2 + -6^2}\\\\d = \sqrt{4 + 36}\\\\d=\sqrt {40} = 2\sqrt{10}

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QveST [7]
I believe that 30.5 as a fraction is 30 and 1 half but don't take my word
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3 years ago
What's the answer for 3/4 (x+3)=9
Vitek1552 [10]
We want to solve the equation :

\displaystyle{  \frac{3}{4}(x+3)=9


first, multiply both sides by 4:

\displaystyle{ \cancel{4} \cdot \frac{3}{ \cancel 4 }(x+3)=4\cdot 9

\displaystyle{ 3(x+3)=36


divide both sides by 3:

x+3=12


add -3 to both sides:

x=9



Answer: x=9
3 0
3 years ago
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 2
Simora [160]

Answer:

241 clients

Step-by-step explanation:

His problem can be solved using the principle of proportionality or rule three.

We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:  

                         Respondents /// Whole company

Vacations                  21                          x

Total                          45                        516

then x equals:

x = (516 * 21) / (45)

x = 240.8

x = 241 clients

This means that approximately 241 clients expect to go on vacation throughout the company.

8 0
3 years ago
Read 2 more answers
The number of employees per department are normally distributed with a population standard deviation of 198 employees and an unk
cricket20 [7]

Answer:

EBM = +-54.126

Step-by-step explanation:

In this question we have confidence interval to be 80%

The formula to solve this is in the attachment.

Bar X = 1460

Z-alpha/2 = 1.282

Sd = standard deviation = 198 employees

n = 22 departments

After we have inserted all values in to the formula we have:

1460 +-(1.282*198/√22)

= 1460+-(54.12604)

= (1405.87, 1514.126)

The error bounded mean EBM

= +-z-alpha/2 x (sd/√n)

= 1.282 x 198/√22

= 1.282 x 42.22

EBM = +-54.126

6 0
3 years ago
Help I need to turn this in today :)
Elodia [21]

Answer:

132 cm squared

Step-by-step explanation:

6x5=30

6x5=30

6x8=48

1/2(8x3)=12

1/2(8x3)=12

Total added together is 132 cm squared

8 0
2 years ago
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