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GrogVix [38]
3 years ago
14

A weight is attached to the end of a spring. Its height after t seconds is given by the equation h(t)=5−2sin((2π(t+1))/7)

Mathematics
1 answer:
taurus [48]3 years ago
3 0

Answer:

실례합니다 ? 이 질문입니까?

Step-by-step explanation:

스프링 끝에 추가 부착되어 있습니다. t초 후의 높이는 h(t)=5−2sin((2π(t+1))/7) 방정식으로 주어집니다. 무게가 처음 최대 높이에 도달하는 시점은 언제입니까? 정확한 답을 주십시오. 오른쪽 ?

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two mountain bikers leave from the same parking lot and head in opposite directions on two different trails. the first rider goe
sveta [45]

Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:

i. First biker = 17.0 km

ii. Second biker = 20.22 km

The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.

Thus,

a. <u>To determine the distance of the first biker from the parking lot.</u>

Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:

hyp^{2} = adj 1^{2} + adj 2^{2}

x^{2} = 8^{2} + 15^{2}

   = 64 + 225

   = 289

x = \sqrt{289}

  = 17

x = 17 km

Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.

b. <u>To determine the distance of the second biker from the parking lot.</u>

Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:

c^{2} = a^{2} + b^{2} - 2ab Cos θ

x^{2} = 8^{2} + 15^{2} - 2(15*8) Cos (180 - 20)

    = 64 + 225 - 240 Cos 160

    = 289 - 240 * -0.5

x^{2} = 289 + 120

   = 409

x = \sqrt{409}

 = 20.2237

x = 20.22 km

Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.

Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.

A sketch of the path of travel for the two bikers is attached for more clarifications.

Visit: brainly.com/question/22699651

7 0
2 years ago
Need help!!! Plzzz Help mee
andrew-mc [135]
Okay what you need I’ll help you with whatever
8 0
3 years ago
I need a Tutor and Help with this question
valkas [14]

Answer:

x=31

y=6

Step-by-step explanation:

2x+3y=80

x+y=37

solve by elimination:( multiply second equation by 2) to eliminate x

2x+3y=80

2x+2y=74

subtract the two equations:

2x+3y-(3x+2y)=80-74

2x+3y-3x-2y=6

y=6 (3 point basket)

substitute: x+y=37, x=37-6=31

x=31 (2 point shot)

4 0
3 years ago
Read 2 more answers
The school principal wants to order 2 pencils for the 425 students in the school. How many boxes should she order?
olganol [36]
How many pencils are in each box
5 0
3 years ago
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Use the following function rule to find f(3).
Vedmedyk [2.9K]

Answer:

f(3)= 33

Step-by-step explanation:

hello :

f(x) =8x+9

put x = 3    you have : f(3) =8(3)+9 = 24 + 9 =33

7 0
3 years ago
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