1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
malfutka [58]
3 years ago
8

What is the length of DD'?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0

Answer:

The length of DD' is \sqrt{29} or 5.39 units.

Step-by-step explanation:

The distance formula is

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

From the given figure it is clear that the coordinates of D are (2,0) and coordinates of D' are (7,2).

Using distance formula we get

DD'=\sqrt{(7-2)^2+(2-0)^2}

DD'=\sqrt{25+4}

DD'=\sqrt{29}

DD'\approx 5.39

Therefore the length of DD' is \sqrt{29} or 5.39 units.

zavuch27 [327]3 years ago
6 0
The length of DD' is 5.39 units.
You might be interested in
Select the proper order from least to
julsineya [31]

Answer:

4/2, 2/7, 1/2, 5/6 is your answer

8 0
3 years ago
Read 2 more answers
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75241,0.06281)  

Where \mu=5.75241 and \sigma=0.06281

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

For the case when z =-2 we can do this:

-2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 -2*0.06281 =5.6121

And for the other case when Z=2 we have:

2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 +2*0.06281 =5.8886

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

5 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del
netineya [11]

Answer:

9/10

Step-by-step explanation:

8 0
3 years ago
Find the difference in altitude between 4,367 feet on a mountain peak and -281 feet on a valley floor
snow_lady [41]
The answer is 4,648 feet
3 0
3 years ago
Other questions:
  • Hurry please I need the answer right away soo send me math work answers my friend said it's 42? Is it right
    6·1 answer
  • Charlene has 12 plastic cups. Of the 12 plastic cups,3 were green,4 are red and 5 are blue.She stacks the cups into a single sta
    12·1 answer
  • A sphere has a diameter of 11 inches. What is it's surface area? Use 3.14 to approximate pie
    9·1 answer
  • What is the value of the expression below? <br> −5+∣9−11∣
    9·2 answers
  • I just need the answers you will get 30 points
    6·2 answers
  • Which type of graph uses the length of bars to show how many data points are in interview
    6·1 answer
  • you have been asked to build a scale model of your school out of toothpicks . Imagine your school is 30ft tall . your scale is 1
    6·1 answer
  • PLEASE help me ASAP with this QUETION!!!!!!!!!!
    5·1 answer
  • Whattttt minion meme
    8·2 answers
  • A triangular prism. The rectangular sides are 3 feet by 2 feet, 3 feet by 2.5 feet, and 3 feet by 1.5 feet. The 2 triangular sid
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!