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galben [10]
2 years ago
7

Plz help my daughter she can't figure it out plz help her

Mathematics
1 answer:
Dafna11 [192]2 years ago
6 0

Answer: 3

Step-by-step explanation: First, we have the fraction 1/3.

Next, the word "of" tells us that we need to multiply.

Lastly, we have 9.

So we will multiply 1/3 x 9.

Whenever you have a fraction without a denominator, it means the exact same thing as putting that fraction over 1.

So 9 is the same thing as 9/1.

So we have 1/3 x 9/1.

When multiplying 2 fractions together, we multiply across the numerators and we also multiply across the denominators.

So 1/3 x 9/1 is 9/3 is 9/3.

Notice however that 9/2 is not in lowest terms so we divide the numerator and denominator by 3 to get the

equivalent fraction 3/1 or just 3.

So 1/3 of 9 is 3.

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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
Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs t
Sauron [17]

Answer:

$27

Step-by-step explanation:

Thomas rents a car for his vacation. The mileage include with the rental is 54 miles. For every mile he drives over 54 miles, he needs to pay $1 4/5. If he drives 69 miles, how much extra does he need to pay?

Total mileage included with the rental = 54 miles

Additional cost per mile after 54 miles = $1 4/5

Total miles Thomas drives = 69 miles

Extra miles Thomas drives = 69 miles - 54 miles

= 15 miles

how much extra does he need to pay?

Extra cost Thomas needs to pay = Additional cost per mile after 54 miles * Extra miles Thomas drives

= $1 4/5 * 15 miles

= 9/5 * 15

= (9 * 15) / 5

= 135/5

= 27

Extra cost Thomas needs to pay = $27

4 0
2 years ago
It takes 1/2 of a box of nails if wanted to build 5 birds house what is the answer
Elodia [21]
5 times a half is 2.5. You can't buy 2.5 boxes so you have to round it up to 3. You would need three boxes of nails.
7 0
3 years ago
Read 2 more answers
lincoln high school has 98 teachers. of them 48 teachers, 9 of them teach math. one-fifth of them teachers teach math
aleksklad [387]
There are 8 1/5 teachers that teach math
6 0
3 years ago
Read 2 more answers
4
Fudgin [204]

Answer:

x=4

Step-by-step explanation:

The y axis is a line where the value of x does not change ( x=0)

It is a vertical line

The only line where the value of x does not change is x=4

It is a vertical line at x=4

8 0
3 years ago
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