X^2 + 3x - 4 = 6
x^2 + 3x -10 = 0
(x + 5)(x - 2) =0
x = -5 or x = 2
solution set is {-5,2}
Use the formula 42600 ÷ (6.9 ÷<span> 100) to calculate this !
</span>42,600 ÷ (6.9 ÷ 100) = <span>617391.304348. Round this to 617391 since you can't sell a percentage of a book.
</span>
To check this, calculate 6.9 percent of 617391.304348. 0.069 · 617391.304348 = 42,600.
Answer:
3/8
Step-by-step explanation:
First,
convert 3/4 of an hour to minutes;
If 1 hr = 60 mins
then 3/4 of 1hr = ![\frac{3}{4} *60\\ \\ =45 mins.Next, If 1/2 of 3/4 was spent practicing recital piece, it means that it is half of 45 mins;1/2 *45 = 22.5 minsLastly, convert the 22.5 mins into a fraction of an hour;22.5/60 = [tex]\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A60%5C%5C%20%5C%5C%20%3D45%20mins.%3C%2Fp%3E%3Cp%3ENext%2C%20%3C%2Fp%3E%3Cp%3EIf%201%2F2%20of%203%2F4%20was%20spent%20practicing%20recital%20piece%2C%20it%20means%20that%20it%20is%20half%20of%2045%20mins%3B%3C%2Fp%3E%3Cp%3E1%2F2%20%2A45%20%3D%2022.5%20mins%3C%2Fp%3E%3Cp%3ELastly%2C%20convert%20the%2022.5%20mins%20into%20a%20fraction%20of%20an%20hour%3B%3C%2Fp%3E%3Cp%3E22.5%2F60%20%3D%20%5Btex%5D%5Cfrac%7B3%7D%7B8%7D)
Answer:
Ф=xπ, x={0,+∞}
Step-by-step explanation:
be 19cosФ=5cosФ+14 → 19cosФ-5cosФ-14 → 14cosФ-14=0 → cosФ=1
then, values for which cosФ=1 are Ф=0º=360º=720º........., but the values of Ф must be radians, so Ф=xπ, where x∈Z, not including the negative numbers,
x={0,1,2,3,....∞}
Note: π≅3.141592
when calculating the values, it must be done in radian mode
Answer:
cos
(
5
π
12
)
=
√
2
−
√
3
2
Explanation:
By the half angle formula:
XXXX
cos
(
θ
2
)
=
±
√
1
+
cos
(
θ
)
2
If
θ
2
=
5
π
12
XXXX
then
θ
=
5
π
6
Note that
5
π
6
is a standard angle in quadrant 2 with a reference angle of
π
6
so
cos
(
5
π
6
)
=
−
cos
(
π
6
)
=
−
√
3
2
Therefore
XXXX
cos
(
5
π
12
)
=
±
⎷
1
−
√
3
2
2
XXXXXXXXXXX
=
±
⎷
2
−
√
3
2
2
XXXXXXXXXXX
=
±
√
2
−
√
3
4
XXXXXXXXXXX
=
±
√
2
−
√
3
2
Since
5
π
12
<
π
2
XXXX
5
π
12
is in quadrant 1
XXXX
→
cos
(
5
π
12
)
is positive
XXXX
XXXX
XXXX
(the negative solution is extraneous)
answer in pic more explain