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Elden [556K]
3 years ago
8

Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the​ equation:h(t)=-1.5t^

2+42t+65,t seconds . How long will it take for the ball to reach​ its' peak? Round your answer to the nearest tenth. nothing
In the statement "Critical thinking requires reasoned judgments," the word reasoned mean
Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

  • 14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

<u>The vertex is calculated by vertex formula:</u>

  • x = -b/2a for the equation y = ax² + bx + c

<u>In our case t is the vertex and its value is:</u>

  • t = -42/(-1.5*2) = 42/3 = 14 seconds

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Answer: 2 :))

Step-by-step explanation: hope you also have a good day!!

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Answer:

Step 1 is wrong

Step-by-step explanation:

\frac{1}{4} r+ 2 = 10

\frac{r}{4}  + 2 = 10

\frac{r}{4}  = 10  -  2

\frac{r}{4}  = 8

r = 8 \times 2

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<h3>Hope it is helpful...</h3>
7 0
3 years ago
HELP ASAPPPPP<br> When graphing the inequality y &gt; -4x + 6, what type of line should be graphed?
melomori [17]

Answer:

A dashed line

Step-by-step explanation:

The end points of the line for the inequality would not be included since y is only greater, not greater than or equal to.

6 0
4 years ago
Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w
earnstyle [38]

Answer:

Answer:  13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is 

3000 + 0.12 = 3000.12 m

Half of the extended length is 1500.06 m

Let h+  the rise of the center of the rail above ground.

From the Pythagorean theorem, obtain

h² + 1500² = 1500.6²

h² = 1500.06² - 1500² = 180.004

h = 13.4 m, which is about 0.9% of the original length.

Read more on Brainly.com - brainly.com/question/5596356#readmore

6 0
3 years ago
The sector of a circle shown to the left has its center at point OO. The arc XYZXYZ has length 10.810.8, and the central angle X
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Answer: Length of the radius of the sector is 6 units.

Step-by-step explanation:

Since we have given that

Length of an arc = 10.8

Radian of a central angle = 1.8

First we convert radian into degrees,

1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times  57.3\textdegree\\\\1.8\ radians=103.14\textdegree

As we know the formula for "Length of an arc":

\text{Length of an arc}=\frac{\theta}{360\textdegree}\times 2\pi r\\\\10.8=\frac{103.14}{360\textdegree}\times 2\times \frac{22}{7}\times r\\\\10.8=1.8r\\\\r=\frac{10.8}{1.8}\\\\r=6

Hence, Length of the radius of the sector is 6 units.

3 0
3 years ago
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