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Studentka2010 [4]
3 years ago
12

Which of the following disjunctions is false ?

Mathematics
1 answer:
notsponge [240]3 years ago
7 0
A disjunction is false if both parts of the disjunction are false; otherwise, it is true
----------------------------------------------
Choice A

4-3=2 is false
6*3=9 is false

both parts are false, so overall the entire disjunction is false
----------------------------------------------
Choice B

5*6=30 is true
3+4=7 is true

Neither part is false, so overall the entire thing is true
----------------------------------------------
Choice C

8+3=11 is true
5*4=23 is false

While second piece is false, the overall disjunction is true. The first part (true) makes the whole thing true.
----------------------------------------------
Choice D

7+6=13 is true
5*2=10 is true

Neither part is false, so overall the entire thing is true
----------------------------------------------
----------------------------------------------
In summary, we have

A. False
B. True
C. True
D. True

Making choice A the only answer that is false. So choice A is the final answer

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What are prime numbers ? And a list of examples ?
Helga [31]

Answer:

the number which is divisible only by itself and 1 is called prime number. For example; 2,3, 5, 7, 11 and others.

7 0
3 years ago
The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the sur
S_A_V [24]

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}

\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm

Now,

\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}

Hence, surface area of pyramid = 4406832 square cm.


5 0
3 years ago
In ΔCDE, the measure of ∠E=90°, the measure of ∠D=22°, and CD = 80 feet. Find the length of EC to the nearest tenth of a foot.
chubhunter [2.5K]

Answer:

30

Step-by-step explanation:

5 0
3 years ago
Please help I have spent hours trying to do...
Igoryamba

Answer:

  1. 914.4 mm
  2. 0.0479594 km

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

__

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

  1 foot = 12 in

  1 cm = 10 mm

So, the conversion is ...

  (3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}

__

2. The additional factor you need for this problem is ...

  1 mile = 5280 feet

So, the conversion is ...

  (157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}

_____

<em>Additional comment</em>

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

7 0
3 years ago
Find the measure of the are or central angle indicated. Assume that lines which appear to be
Afina-wow [57]

Answer:

major arc CEB = 320°

Step-by-step explanation:

arc BF = 140°

arc CE = 140°

arc CB = arc EF

arc CB + arc EF = 360-280 = 80

arc CB = 40°

major arc CEB = 360 - 40= 320°

8 0
3 years ago
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