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exis [7]
3 years ago
6

Evaluate the algebraic expression 18 + (- 31) =

Mathematics
1 answer:
frosja888 [35]3 years ago
8 0

Answer:

-13

Step-by-step explanation:

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Help!!
lutik1710 [3]

theoretical probability is a coin will land on heads 50% of the time

50% of 100 = 50

since it only landed on heads 38 times, this was less than the theoretical probability of 50

5 0
3 years ago
Read 2 more answers
Theorem: A line parallel to one side of a triangle divides the other two proportionately.
Elenna [48]

Answer:

Segment BF = 16 is true.

Step-by-step explanation:

Since, DE is parallel to BC, so DE will divide AB and AC proportionally.

Hence,

\frac{AE}{EC}  = \frac{AD}{DB}

⇒  \frac{12}{18}  = \frac{6}{DB} 

{Since, given that AE = 12, EC = 18 and AD = 6}

⇒ BD = 9.

Again, since, EF is parallel to AB, so EF will divide BC and AC proportionally.

Hence, \frac{CE}{AE}  = \frac{FC}{BF}

⇒ \frac{18}{12}  = \frac{24}{BF}   

{Since, given that AE = 12, EC = 18 and FC= 24}

⇒ BF = 16.

Therefore, segment BF = 16 is true. (Answer)

3 0
3 years ago
Which angle has a sine of -1/2 and a cosine of -√3/2
Sergeeva-Olga [200]
\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}
8 0
3 years ago
Can someone help me with this, please? I'm not sure how to solve this.
bazaltina [42]

Answer:

11.) 10w^2 + 43w + 21.

12.) -15y^2 - 2y + 8

Check the explanation for details

Step-by-step explanation:

11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w

Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,

Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21

= 10w^2 + 43w + 21.

12.) Repeat the same process by multiplying row by column.

Multiply -3y by 5y and 4 you will get -15y^2 and -12y.

Also, multiply 2 by same 5y and 4. You will get 10y and 8

Therefore, the expansion of

( -3y + 2 )( 5y + 4 ) will be

-15y^2 - 12y + 10y + 8

-15y^2 - 2y + 8

4 0
3 years ago
What is 642,565 divided by 64
jasenka [17]

642,565 divided by 64 is 10040.08

4 0
3 years ago
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