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Nookie1986 [14]
3 years ago
14

A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h

eight of the airplane above ground after t seconds is given by the equation h=-16t^2+56t+1, where h is the height of the airplane in feet and t is the time in seconds after it is launched. Approximately how long does it take the airplane to reach its maximum height?
A.

0.3 seconds
B.

1.8 seconds
C.

3.5 seconds
D.

6.9 seconds
Mathematics
2 answers:
morpeh [17]3 years ago
7 0

Answer:

The correct answer is option B. 1.8 seconds. I just took the test.


nata0808 [166]3 years ago
3 0
For a vertical projectile, the equation of motion is expressed h(t)=g+bt+c, where g is gravity, b is the initial upward velocity, and c is the starting height. The maxima of this equation is given by -b/2g, which in this case would be -56/-32, or 1.75 seconds after launch
☺☺☺☺
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Direction: True or False
Goshia [24]

Answer:

<u>False </u>Any three points are always coplanar

<u>False </u>Two points are always collinear

<u>False </u>Two planes intersect at a point

Read explanations, as the answer to these questions, is subjective.

Step-by-step explanation:

The definition of coplanar is; figures that exist on the same plane. Any three points might not always be colinear, as some points might exist on one plane, but other points could exist on other planes. To visualize this phenomenon, refer to the attached image. Two points could be on the red plane, but the third could be on the green. Therefore, while there are three points, not all of them exist on the same plane. However, another plane can be constructed to connect these points, bear in mind certain problems might specifically indicate that three points are not coplanar, therefore, the answer is false.

The definition of collinear is existing on the same line. This statement is a little subject, it can be both true and false depending on the way one looks at it. A line can be drawn to connect any two points, one only needs two points to determine a line. So technically two points are always collinear. However, it also depends on the circumstance. Certain geometry problems might specifically indicate that two points are not collinear. Thus, it really depends on the context. Therefore, the answer is technically false.

Two planes usually intersect on a line. To understand this, please refer to the image attached. Tehcnailly, if a corner of one plane intersects another, then one can state that the plane intersects on a point, but typically, planes intersect on lines. Therefore, technically the answer to this problem is false, as two planes usually intersect on a line.

Images credits: Geogebra

8 0
3 years ago
Read 2 more answers
Help! Find m^KNL.<br> A. 264<br> B. 196<br> C. 184<br> D. 247
Misha Larkins [42]

Answer:

  A.  264

Step-by-step explanation:

First, we have to find the value of x. Then we can use that to find the required arc measure.

∠M = (1/2)(arc KN - arc LN)

60 = (1/2)((18x -6) -(5x +17)) = (1/2)(13x -23) . . . . substitute and simplify

120 = 13x -23 . . . . . . . multiply by 2

143 = 13x . . . . . . . . . . add 23

11 = x . . . . . . . . . . . . . . divide by 13

__

arc KNL = (arc KN) + (arc NL) = (18x -6) +(5x +17) = 23x +11

  = 23·11 +11

arc KNL = 264 . . . . degrees

5 0
3 years ago
HELP me please! Please I really need it!
Crank

Answer:

The radius is 6.1 cm

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3

There is a typo in the problem.

We know the volume

950 = 4/3 (3.14) r^3

Multiply each side by 3/4

3/4 *950 = 3.14 r^3

712.5 = 3.14 r^3

Divide each side by 3.14

712.5/3.14 = r^3

226.910828 = r^3

Take the cube root of each side

226.910828 ^ (1/3) = r^3 ^ 1/3

6.099371323 = r

The radius is 6.1 cm

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A beverage company wanted to see if people in the United States liked their logo
KengaRu [80]

Answer: b

Step-by-step explanation:

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8 0
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70% of a school budget is spent on teachers, 10% on other staff, and the rest on energy and resources. A Write the ratio of the
Vesna [10]
A) 70:10:20 = 7:1:2
b) 20/100 = 2/10 = 1/5

7 0
3 years ago
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