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Sati [7]
3 years ago
14

Which of the following is a rational number?

Mathematics
1 answer:
ioda3 years ago
8 0
The rational number would be 16
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Write the phrase as an expression. Then evaluate when y=20 . 3 less than the quotient of a number y and 4
PtichkaEL [24]

Expression: <span>y÷4−3</span>

When <span><span>y=20</span><span>y=20</span></span>, the value of the expression is 2.

4 0
3 years ago
Alejandra is packing a bag for a flight. The airline has a baggage weight limit, and Alejandra has already packed her bag with s
slava [35]

there are no pictures of a graph BUT i can give you the intercepts.

x=2

y=12

OR

x=4

y=8

OR (sorry i cant see the graph options its one of the three)

x=8

y=3

its a solid line

x are the shoes

y are the outfits

3 0
3 years ago
Solve 3-2cos²x-3sinx=0 for 0≤x≤360
crimeas [40]
<span>3-2(Cosx)^2 - 3Sinx = 0.

Recall (Sinx)^2 + (Cosx)^2  = 1.
Therefore  (Cosx)^2 =  1 - (Sinx)^2
Substitute this into the question above.

</span><span>3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2)  - 3Sinx = 0  Expand
3 - 2 + 2(Sinx)^2  -  </span><span><span>3Sinx = 0</span>
1 + 2(</span><span>Sinx)^2  - 3Sinx  = 0  Rearrange
2(Sinx)^2 </span><span><span>- 3Sinx + </span>1  = 0 
Let p = Sinx
2p^2  -  3p + 1  = 0    Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0

Therefore  2p-1=0    or  (p-1) = 0
2p=0+1    or  (p-1) = 0
2p=1       or    p = 0 +1.
p=1/2       or  p = 1            Recall p = Sinx

Therefore Sinx = 1/2 or 1.
For  0<u><</u>x<u><</u>360

Sinx =1/2,  x = Sin inverse (1/2) , x = 30, 
                                   (180-30)- 2nd Quadrant = 150 deg
Sinx = 1,  x = Sin inverse (1) , x = 90

Therefore x = 30,90 & 150 degrees.

Cheers.</span>
7 0
3 years ago
The regular price of a blanket is seven dollars and 89 my cousin has a coupon for six dollars and 16 are how much will she pay f
seropon [69]

Answer:

$1.73

Step-by-step explanation:

$7.89-$6.16=$1.73

3 0
3 years ago
Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches?
Kay [80]
Answer: 14.83 inches

Explanation:

h² + 6² = 16²

h² = 16² - 6²

h² = 220

h = 14.83
4 0
3 years ago
Read 2 more answers
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