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tekilochka [14]
3 years ago
7

Please help, giving brainliest , thanks!

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Please look at the image

From the info 2 jars with 106 sprinkles each, we know 1 jar would have 53 sprinkles.

1 jar has 53 sprinkles.

6 jars have 318 sprinkles because:

6 × 53 = 318

13 jars have 689 sprinkles because:

13 × 53 = 689

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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
Asafa runs 0.75 kilometers in 6 minutes. Jemaine runs 3,000 meters in half an hour. Who ran at a faster rate?
Lorico [155]

Answer:

  • Asafa ran at a faster rate

Step-by-step explanation:

<u>Asafa's speed:</u>

  • 0.75 km/ 6 min = 750 m/ 6 min = 125 m/min

<u>Jemaine's speed:</u>

  • 3000 m / 30 min = 100 m/min

Asafa ran at faster rate as 125 m/min > 100 m/min

5 0
3 years ago
What are the x and y intercept for the graph of 4x - 3y = -12
Mama L [17]

Answer:

(-3,0) = x and (0,4) = y

Step-by-step explanation:

7 0
2 years ago
Find The number to the angle QPR
butalik [34]

Step-by-step explanation:

you know that QPS adds up to 47

so the sum of RPS and QPR shoukd = 47

(3x - 38) + (7x - 95) = 47

you then solve for x then you can use that to find QPR

8 0
2 years ago
What is -5(-2) equal to
PtichkaEL [24]

Step-by-step explanation:

10

I think this should be the answer

3 0
3 years ago
Read 2 more answers
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