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4 years ago

Identify the middle line for the function: f (t) = 5sec(3t − π) + 1

1 answer:

6 0

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.

(t) = 0 gives
-24t + 60 = 0
t = 2.5
For this t, the second derivative s"(t) = -24 is negative. And so, s(t) is maximum for t = 2.5.
Maximum height is S = -12(2.5)^2 + 60(2.5) +8 = 233ft

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Could someone please help me with this question

defon

Answer:

Proportional: second and third, non-proportional: first and fourth

Step-by-step explanation:

Proportional relationships are linear functions that pass through the origin. Using this definition, we can conclude that the proportional relationships are the second and third options whereas the non-proportional relationships are the first and fourth options.

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3 years ago

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The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E

Gnoma [55]

Answer:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

Step-by-step explanation:

Given

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$AC = 10$

$AB = 5$

$\angle C = 30^\circ$

$ED = 7.5$

$DF = 25$

$\angle F =30$

$\angle E =90$

Required

Which of the options is/are true:

$\triangle CBA {\displaystyle \sim } \triangle FED$ $\triangle CBA {\displaystyle \sim } \triangle FDE$ $\triangle BAC {\displaystyle \sim } \triangle EFD$

$\triangle BAC {\displaystyle \sim } \triangle EDF$ $\triangle ABC {\displaystyle \sim } \triangle DE\ F$ $\triangle ABC {\displaystyle \sim } \triangle DFE$

The given triangles, implies that:

$A {\displaystyle \sim } \ D$

$B {\displaystyle \sim } \ E$

$C {\displaystyle \sim } \ F$

By taking each sides of both triangle, one after the other; the possible similar triangles are:

$\triangle ABC {\displaystyle \sim } \triangle DE\ F$

$\triangle CBA {\displaystyle \sim } \triangle FED$

$\triangle BAC {\displaystyle \sim } \triangle EDF$

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3 years ago

Which ratio is equivalent to the ratio 2:5? a. 6:15 b. 5:2 c. 5:8 d. 4:7

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The answer is A) 6:15, because if you divide both numbers by three, it'll give you 2:5

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3 years ago

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For an acute angle θ, the equation sin (θ) = cos (7°)is true. What is the value of θ?

8_murik_8 [283]

Answer:

θ = 83°

Step-by-step explanation:

For acute angles, the sine of an angle is the cosine of its complement, and vice versa.

sin(θ) = cos(90° -θ) . . . . relation between sine and cosine

sin(θ) = cos(7°) . . . . . . . . given

90° -θ = 7° . . . . . . . . . matching arguments of cos( )

θ = 83° . . . . . . . . . add θ -7° to both sides

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2 years ago

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Fudgin [204]

Answer:

10. 1/9

11. 1 1/6

12. 1/8

Step-by-step explanation:

10.

He spent 2/3 of 1/6 of the day.

In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.

2/3 * 1/6 = 2/18 = 1/9

He spent 1/9 of the day adding mulch.

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He spent 2/3 of 1 3/4 hours.

In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.

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He spent 1 1/6 hours working on the project.

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She planted 1/6 of 3/4 of the area.

In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.

1/6 * 3/4 = 3/24 = 1/8

She planted carrots in 1/8 of the garden.

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3 years ago