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3 years ago

In the diagram below, BC is an altitude of ABD. To the nearest whole unit, what is the length of CD?

Mathematics

2 answers:

sergiy2304 [10]3 years ago

8 0

For the answer to the question above, I'll show my solution on how you can solve your problem.
AC² + BC² = AB²
5² + 12² = AB² 
25 + 144 = AB² 
169 = AB² 
13 = AB 

Triangle ABC is proportional to triangle ADB. 

AC = AB 
AB AD 

5 = 13 
13 AD 

5AD = 169 

AD = 169/5 

AD = 33.8 

AD = AC + CD 

33.8 = 5 + CD
So the answer is

CD = 28.8

Lilit [14]3 years ago

3 0

Answer:

Actually the answer is 56, so D.

Step-by-step explanation:

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vodomira [7]

Answer:

x<-3

Step-by-step explanation:

-7x+6/3 >9

-7x+6 >27

-7x>27-6

-7x>21

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2 years ago

sophia borrowed $12,109 at 4.5% simple interest for 6 months. How much will the interest amount to? What is the total amount tha

Yuri [45]

The applicable formula is
I = Prt
where P = the principal value (12109), r is the interest rate (0.045), and t is the time period in years (1/2)

a) Substituting the given values, the interest amount is computed as
I = ($12,109)(.0.45)(1/2)
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3 years ago

Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co

ycow [4]

Answer:

$y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2$

And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

$y-5 = (x-3)^2$

The vertex for this case would be:

$V= (3,5)$

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

$y= x^2 -6x +14$

We can complete the square like this:

$y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2$

And solving we have:

$y= x^2 -6x +9 + 14 -9$

$y= (x-3)^2 +5$

And we can write the expression like this:

$y-5 = (x-3)^2$

The vertex for this case would be:

$V= (3,5)$

And the minimum for the function would be 3 and there is no maximum value for the function

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4 years ago

there are 3 black marbles in and 4 red marbles in a bag. what is the probability that you will pick two black marbles put of the

professor190 [17]

$|\Omega|=7\cdot6=42\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\%$

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3 years ago

Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth.

Sergeu [11.5K]

Answer: 3.7

Step-by-step explanation: 3.706, but since you need it rounded to the nearest tenth its 3.7. If you put both equations on a graph, they intercept. We use the x coordinate in this intersection as the answer.

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3 years ago