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noname [10]
2 years ago
9

Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2​

Mathematics
1 answer:
lions [1.4K]2 years ago
4 0

Step-by-step explanation:

here ,

cosec \alpha  =  \frac{1}{ \sin( \alpha ) }

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

\frac{1}{ \sin(2)   \frac{1}{2}   -  \cos(2) \frac{1}{2}  }  = 2

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

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Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
A triangle with the coordinates (6,4), (2,-1), and (-3,5) is translated 4 Units left and rotate 180 degrees about the origin. Wh
ankoles [38]

Answer:

(-2,-4),(2,1), and (7,-5)

Step-by-step explanation:

The given triangle has coordinates (6,4), (2,-1), and (-3,5).

When we translate 4 units left, the we obtain:

(6,4)------>(6-4,4)=(2,4)

(2,-1)----->(2-4,-1)=(-2,-1)

(-3,5)----->(-3-4,5)=(-7,5)

When the resulting figure is rotated 180° about the origin, the coordinates of the final figure becomes

(2,4)------>(-2,-4)

(-2,-1)----->(2,1)

(-7,5)------->(7,-5)

NB: The mapping for 180° rotation is:

(x,y)----->(-x,-y)

8 0
3 years ago
Steve picks 55 pounds of pears. He packs an equal amount of pears into 6 bags. He then has 4 pounds of pears left. What is the w
Serggg [28]
Because he has 4 pounds of apples left, you are to subtract that from the total pounds picked, which was a total of 55 pounds. So 55 with 4 taken away, or 55 - 4, equals 51. Since he had equally put 51 pounds into six bags, you are to then divide . 51 / 6 = 8.5. He had put 8.5 pounds worth of apples into each bag.
4 0
3 years ago
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Help please let me know if I’m wrong or right pls!!!!
Ksju [112]

Answer:

you are correct! nonlinear

Step-by-step explanation:

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4 0
3 years ago
NEED HELP ASAP!! (15 points)
LiRa [457]

Answer:

Step-by-step explanation:

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