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lisov135 [29]
3 years ago
11

A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a

nd v0 is the initial velocity. If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Step-by-step explanation:

s = -4.9t² + 49t

The vertex of the parabola is at t = -b/(2a).

t = -49 / (2 × -4.9)

t = 5

The rocket reaches its maximum height after 5 seconds.

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Can someone help me
kolbaska11 [484]

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

(m < 1 )+ (m < 2 )= 180

5x + x + 24 = 180

Combine like terms

6x + 24 = 180

Isolate the variable

6x = 156

x = 26

Plug in 26 for x in both of the individual angle equations.

m < 1 = 5x

= 5(26)

= 130

m < 2 = x - 24

= (26) + 24

= 50

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

6 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
eimsori [14]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

8 0
3 years ago
First time doing mensuration, can someone enlighten me on how to find the height of the hemisphere and cone?
Alina [70]

Answer:

Step-by-step explanation:

volume=1/3\pi  r^2h +2/3\pi r^3[

tex]=1/3\pi *9*4+2/3\pi  *3^3[/tex]

=12\pi +18\pi= 30 \pi volume

4 0
3 years ago
Read 2 more answers
Please help meh i dont know the answer
Savatey [412]

Answer:

3 inches

Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.

A square also have the same length for all 4 sides.

So each side of the square is 6cm, to find the perimeter you do 6*4=24.

then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8

so each side of the triangle will be 8cm

7 0
3 years ago
Match the property that was used. x+13=13+x
Jobisdone [24]

the commutative property was used

3 0
2 years ago
Read 2 more answers
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