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SpyIntel [72]
3 years ago
8

Which ratio expresses the scale used to create this drawing? 1 square=10 yards

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
4 0

Answer:

option B

Step-by-step explanation:

option B

gdyfudjfjghfhguftduc

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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
Use the quadratic formula to solve this equation to 3sf: 5x^2-2x-11=0
Rama09 [41]
X=1/5+2/5√14 or 1/5 + -2/5√14
7 0
3 years ago
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Evaluate the function below for x = 4.<br> F(x) = x3 + 2x2 + 1
pav-90 [236]

Answer:

77

Step-by-step explanation:

Plug in:

F(4) = (4)3 + 2(4)2 + 1

F(4) = 12 + (8)^2 + 1

F(4) = 12 + 64 + 1

F(4) = 77

(assuming 2x2 = 2x squared)

4 0
2 years ago
A collector has 120 movie posters and 100 band posters. She wants to sell 24 movie posters but still have her poster collection
Serga [27]

Answer:

She must sell 20 band posters

Step-by-step explanation:

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Sandy has several pitchers to hold lemonade for The School bake sale two pitchers can hold 64 ounces each and four pitchers can
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320 is the total ounces her pitchers can hold.
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