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Alexxx [7]
3 years ago
10

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts

Mathematics
1 answer:
Damm [24]3 years ago
4 0

Answer:

t=2.08 seconds.

Step-by-step explanation:

Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.

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Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research
Lapatulllka [165]

Answer:

2,655 students

Step-by-step explanation:

The z-score for a 99% confidence interval is z = 2.576

The standard error for a proportion p is:

SE = z*\sqrt{\frac{p*(1-p)}{n} }

For a proportion of p =0.20, in order to ensure a standard error of 0.02, the sample size 'n' must be:

0.02 = 2.576*\sqrt{\frac{0.2*(1-0.2)}{n}}\\n=2,654.31

Rounding up to the next whole student, the sample size needed is 2,655 students.

5 0
2 years ago
I need help pleaseeee!!!!! I don’t understand
olganol [36]

Answer:

a. x = 5, m∠FGH = 22°

b. m∠HGI = 22°

c.  m∠FGI = 44°

Step-by-step explanation:

Since GH bisects FGI this means it divides the angle in two equal parts.

a. solving for x means equating them:

5x-3 = 6x-8 =>

5x - 6x = 3 - 8 =>

x = 5.

Both m∠FGH and m∠HGI are 5*5-3 = 22°

c. Add both angles: m∠FGH + m∠HGI = 44°

8 0
3 years ago
Identify the segment bisector of XY.
Ganezh [65]

Given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

  • Segment bisector of XY = line n
  • Length of XY = 6

<em><u>Recall:</u></em>

  • A line that divides a segment into two equal parts is referred to as segment bisector.

In the diagram attached below, line n divides XY into XM and MY.

Thus, the segment bisector of XY is: line n.

<em><u>Find the value of x:</u></em>

XM = MY (congruent segments)

  • Substitute

5x + 8 = 9x + 12

  • Collect like terms and solve for x

5x + 8 = 9x + 12\\5x - 9x = -8 + 12\\\\-4x = 4\\\\x = -1

XY = XM + MY

XY = 5x + 8 + 9x + 12

  • Plug in the value of x

XY = 5(-1) + 8 + 9(-1) + 12\\\\XY = -5 + 8 -9 + 12\\\\\mathbf{XY = 6}

Therefore, given the image attached, the segment bisector that divides XY into two and the length of XY are as follows:

  • Segment bisector of XY = line n
  • Length of XY = 6

Learn more here:

brainly.com/question/19497953

3 0
2 years ago
For the inverse variation equation xy = k, what is the value of x when y = 4 and k = 7? 3 28
Oliga [24]

Answer:

The value of x is \frac{7}{4}.

Step-by-step explanation:

It is given that the inverse variation equation is

xy=k                  ..... (1)

The value of y is 4 and the value of k is 7.

Substitute y=4 and k=7 in equation (1).

x\times 4=7

Divide both sides by 4.

\frac{x\times 4}{4}=\frac{7}{4}

x=\frac{7}{4}

Therefore the value of x is \frac{7}{4}.

7 0
3 years ago
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5 0
3 years ago
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