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Darina [25.2K]
4 years ago
14

Use the cone-shaped hedge shown.

Mathematics
1 answer:
ASHA 777 [7]4 years ago
4 0

Answer:

volume of cone = 1/3πr²h

<u>1</u>×<u>2</u><u>2</u>×3×11

3. 7.

<u>242</u>

7

= 34.57

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Once his parachute is open, a skydiver descends at a rate of 25 feet per second. 90 seconds after the parachute opens, his altit
ss7ja [257]

Using the information given and linear function concepts, it is found that:

  • a) The equation is: y(t) = -25t + 5000.
  • b) The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.
  • c) It takes 200 seconds for the skydiver to reach the ground.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y(t) = mt + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when t changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

Item a:

  • The skydiver descends at a rate of 25 feet per second, hence m = -25.

Then:

y(t) = -25t + b

<u>90 seconds after the parachute opens, his altitude is 2750 feet</u>, which means that when t = 90, y = 2750, which is used to find b. Then:

2750 = -25(90) + b

b = 5000

Hence, the equation is:

y(t) = -25t + 5000.

Item b:

Time is in seconds, hence, this is y(120).

y(120) = -25(120) + 5000 = 2000

The skydiver’s altitude after the parachute has been open for 2 minutes is of 2000 feet.

Item c:

The time it takes to reach the ground is t for which y(t) = 0, hence:

-25t + 5000 = 0

25t = 5000

t = \frac{5000}{25}

t = 200

It takes 200 seconds for the skydiver to reach the ground.

You can learn more about linear functions at brainly.com/question/26065573

8 0
3 years ago
Which sequence begins with 1 and follows this rule? multiply by 2 and add 1.
Olin [163]
Change the information into an equation and do sequence. pull out any necessary information.
y = 2x + 1
starts at 1... so your first sequence is 1.
plug in x=1 then it becomes 3. then the next sequence you plug in 3 (, the answer to your previous solve) you get 7. continue to do this. next sequence you plug in x=7 into the equation y = 2x + 1.
thus, y = 2(7) + 1 =15... so forth...
therefore the answer is B.

Hope this helps :)
5 0
3 years ago
Help<br> Find the angle.....
algol [13]

Answer:

(100°)

Step-by-step explanation:

first join point 162° to 98° to form a triangle

then add

162°+98°

=260°

an angle totally has 360°

so you minus 260° from 360°

360°-260°

=100°

(sorry,thanks and hope I helped)

8 0
4 years ago
Find an equation in slope-intercept form of the line that has slope 2 and passes through point A(-3. - 1)
iris [78.8K]

Answer:

Slope intercept form:

y = 2x + 5

Step-by-step explanation:

m = 2; (-3 , -1)

Slope point form : y - y1 = m(x - x1)

y - [-1] = 2(x - [-3])

y + 1 = 2(x + 3)

y + 1 =2x + 3*2

y + 1 = 2x + 6

   y = 2x + 6 - 1

y = 2x + 5      This is in slope intercept form y =mx + b

7 0
3 years ago
Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park? (2 points) H
gulaghasi [49]

The last one. People per hour because the dependent quantity is the people.
4 0
3 years ago
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