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Fynjy0 [20]
3 years ago
6

The point LaTeX: \left(-1,\:5\right)( − 1 , 5 ) is the solution for the following system of equations

Mathematics
1 answer:
balu736 [363]3 years ago
4 0
I think right is correct ( - 1, 5 )
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Urgent!! Will mark brainliest!!
anastassius [24]

Answer:

1) tanФ = 0.8392 ⇒ 2nd answer

2) cosФ = 20/29 ⇒ 3rd answer

3) cosФ = -√2/2 , cotФ = -1 ⇒ first answer

Step-by-step explanation:

* At first check the quadrant of the angle

∵ 180° < Ф < 270°

∴ Ф lies on the third quadrant

* Remember in the 3rd quadrant tanФ and cotФ only positive

∵ sinФ ≅ -0.7660

∵ tan²Ф = sec²Ф - 1

∵ secФ = 1/sinФ

∵ secФ = 1/-0.7660

∴ sec²Ф = (1/-0.7660)²

* Substitute this value in the equation

∴ tan²Ф = (1/-0.7660)² - 1 = 0.70428594 ⇒ take √ for both sides

∴ tanФ ≅ ± 0.8392

∵ Ф lies on the 3rd quadrant

∴ tanФ = 0.8392

* At first check the quadrant of the angle

∵ 0° < Ф < 90°

∴ Ф lies on the first quadrant

* Remember in the 1st quadrant all are positive

∵ sinФ = 21/29

∵ sin²Ф + cos²Ф = 1

∴ (21/29)² + cos²Ф = 1 ⇒ subtract (21/29)² from both sides

∴ cos²Ф = 1 - (21/29)² = 400/841 ⇒ take √ in both sides

∴ cosФ = ± 20/29

* Because Ф lies in the 1st quadrant

∴ cosФ = 20/29

* Remember that when the point is at the terminal side of angle Ф

∴ Its x-coordinate is cosФ

∴ Its y-coordinate is sinФ

* The point is (-√2/2 , √2/2)

∵ x-coordinate is negative ad y-coordinate is positive

∴ the point is on the 2nd quadrant

∴ 90° < Ф < 180°

∴ The values of sinФ and cscФ only positive

* From previous we know that:

∴ cosФ = -√2/2

∴ sinФ = √2/2

∵ cotФ = cosФ/sinФ

∴ cotФ = -√2/2 ÷ √2/2 = -√2/2 × 2/√2 = -√2/√2 = -1

* cosФ = -√2/2 , cotФ = -1

3 0
3 years ago
Round 8.876 to the nearest whole number
Dmitriy789 [7]
8.876 to the nearest whole number
8.876 can be rounded to 9 because if we have a number greater than 5 we round to next number i.e is 9 but if we have a number smaller than 5 then we round to the previous number that is 8.

So your answer is 9
6 0
3 years ago
Read 2 more answers
A store sells two brands of hand lotion. Brand X costs $3.25 for 5 fluid ounces.
olga_2 [115]

Answer:

\frac{3,25}{5}=0,65 \\ for brand x for 1 fluid ounces

\frac{6}{8}=0,75 for brand y

0,75-0,65=0,1

Brand x costs $0,1 less

Step-by-step explanation:

3 0
3 years ago
Which of the following is a sequence that moves on a basis of addition and subtraction?
irinina [24]
It is the first answer
5 0
3 years ago
A bottle of vitamins should have 60 vitamins. The actual number is 62. What is the percent error to the nearest hundredth?
Phoenix [80]

Answer:

3.33%

Step-by-step explanation:

(62/60)X100=103.33 meaning the bottle was overfilled by 3.33%

Brainliest please

8 0
3 years ago
Read 2 more answers
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