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Natalija [7]
3 years ago
7

82.1_2.1(5.25+6.2×4.7)​

Mathematics
1 answer:
Alla [95]3 years ago
6 0

Answer:

9.881

Step-by-step explanation:

82.1-2.1(5.25+29.14)=9.881

82.1-2.1(34.39)=9.881

82.1-72.219=9.881

9.881=9.881

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a boy is standing on a pole of height 14.7m throws a stone upwards. it moves in a vertical line slightly away from the pole and
fomenos

Answer:

The time taken for the upward motion is 1 second. The same time is taken for the downward motion

It reaches a maximum height of 4.9 meters.

Step-by-step explanation:

The equation of motion is:

x(t) = -4.9t^{2} + 9.8t

Since the term which multiplies t squared is negative, the graph is concave down, that is, x increases until the vertex, where it reaches it's maximum height, then it decreases.

Vertex of a quadratic equation:

Quadratic equation in the format x(t) = at^{2} + bt + c

The vertex is the point (t_{v}, x(t_{v})), in which

t_{v} = -\frac{b}{2a}

In this question:

x(t) = -4.9t^{2} + 9.8t

So a = -4.9, b = 9.8

Vertex:

t_{v} = -\frac{9.8}{2*(-4.9)} = 1

The time taken for the upward motion is 1 second.

x(t_{v}) = x(1) = 9.8*1 - 4.9*(1)^{2} = 4.9

It reaches a maximum height of 4.9 meters.

Downward motion:

From the vertex to the ground.

The ground is t when x = 0. So

-4.9t^{2} + 9.8t = 0

4.9t^{2} - 9.8t = 0

4.9t(t - 2) = 0

4.9t = 0

t = 0

Or

t - 2 = 0

t = 2

It reaches the ground when t = 2 seconds.

The downward motion started at the vertex, when t = 1.

So the duration of the downward motion is 2 - 1 = 1 second.

5 0
3 years ago
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter your an
andrew-mc [135]

Answer:

216

Step-by-step explanation:

The formula of finding the surface is length * width * height or LxWxH.

Since everything is 6 you just multiply 6*6*6 which gives you 36*6 which gets you 216. You don't need the top 6 just to find the surface she will paint.

Hope this helps!

7 0
3 years ago
I need help with this <br><br> 10 points <br><br> Pls pls pls someone come help me
Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

7 0
3 years ago
Adding&amp;subtracting equations x-10=12
Colt1911 [192]
Answer:22
x-10=12
x= 10+12
x=22
8 0
3 years ago
Read 2 more answers
Evaluate each expression when a= - 4 and b= 3 ab
Andrews [41]

Answer:

-12

Step-by-step explanation:

<u>Step 1:  Substitute</u>

ab -> -4 for a and 3 for b

(-4) * (3)

<em>-12</em>

Answer:  -12

6 0
3 years ago
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