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IgorC [24]
3 years ago
15

Explain how the identity property in the problem, 5/6 (1) = 1(5/6) = 5/6 is the same with any rational number.

Mathematics
1 answer:
Helga [31]3 years ago
5 0
Hi there!

Since any number multiplied by the number 1 is <em>the same number, </em>we can conclude that the identity of 5/6 stays the same since it has been multiplied by 1. 

Hope this helps!
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BC is tangent to circle A at B and to circle D at C. AB= 10 BC= 21 DC= 8 find AD to the nearest tenth
Andrei [34K]
The attached diagram is an interpretation of the question.
If there are other details, please post.

The distance AD is found by Pythagoras theorem, with 
AD=sqrt(BC^2+(AB-DC)^2)=sqrt(21^2+2^2)=sqrt(441+4)=sqrt(445)
=21.095 (to the third decimal place)

4 0
3 years ago
Translate the sentence into an inequality. Eight times the sum of a number and 27 is at most "-15." Use the variable y for the u
strojnjashka [21]

Answer:

8(y + 27) ≤ -15

Step-by-step explanation:

In the given inequality statement,  "Eight times the sum of a number and 27 is <u>at most</u> "-15""  

The first part, "Eight times the sum of a number and 27" means that 8 is multiplied to the sum of y and 27.  While the phrase "at most" means "<u>less than or equal to</u> (≤)"  The phrase also implies that the value of y can be -15, or any value less than -15.  

Therefore, the correct algebraic expression is: 8(y + 27) ≤ -15  

7 0
2 years ago
A ship is sailing on the sea. It travels 50 miles at 60° to the horizontal. Then the ship travels 90 miles at 30° to the horizon
pav-90 [236]

Answer:

(25\sqrt{3}+45)\ miles

Step-by-step explanation:

we know that

The total vertical distance (total miles North) traveled is equal to

d=50sin(60^o)+90sin(30^o)

Remember that

sin(60^o)=\frac{\sqrt{3}}{2}

sin(30^o)=\frac{1}{2}

substitute

d=50(\frac{\sqrt{3}}{2})+90(\frac{1}{2})

d=(25\sqrt{3}+45)\ miles

7 0
3 years ago
BRO PLS HELP I'M BEGGING Divide the following polynomials. Write your answer in order of descending powers of x. Do not include
lubasha [3.4K]

Step-by-step explanation:

Let me know if I typed something wrong

3 0
3 years ago
Doug regularly mows his neighbor's lawn. Last month, Doug's neighbor paid him $55 for 6 hours of mowing. Is this situation most
nasty-shy [4]

Solution:

we are given that

Last month, Doug's neighbor paid him $55 for 6 hours of mowing.

we have been asked that

Is this situation most likely a proportional relationship?

yes..its as proportional relationship.

Because the amount that Doug get is $55 for 6 hours

It mean for each hour Doug get  is \frac{55}{6} $

It mean if you increase the number of hours then the number of dollars get paid also increases. Hence the given  situation is most likely a proportional relationship.



8 0
3 years ago
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