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Stella [2.4K]
4 years ago
13

What is the value of x?

Mathematics
1 answer:
LekaFEV [45]4 years ago
4 0

Answer: The value of x is 20

Step-by-step explanation:

The angles are vertical angles so they have to equal each other in other to solve for x.

(x + 40) = 3x          

x + 40 = 3x     subtract x from both sides

-x            -x

40 = 2x     Divide both side by 2

x= 20

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3 years ago
A model rocket launched directly upward at a speed of 16 meters per second from a helght of 2 meters . The f(t) = - 4.9t ^ 2 + 1
Anton [14]

Answer:

f(t) = 15.06 m

Step-by-step explanation:

The relationship between the height of the rocket and the time after launch, t. In seconds is given by :

f(t) = - 4.9t ^ 2 + 16t + 2

We need to find the maximum height the rocket will reach the ground.

When it reaches the ground,

f(t) = 0

So,

Maximum height,

f'(t) = 0

-9.8t+16=0\\\\t=\dfrac{16}{9.8}\\\\t=1.63\ s

Put t = 1.63 in equation (1).

f(1.63) = - 4.9\times (1.63 ^ 2) + 16(1.63) + 2\\\\=15.06\ m

So, the maximum height of the rocket is 15.06 m.

4 0
3 years ago
Please help me with this
mrs_skeptik [129]

Answer:

a) 10

b) 2.5

Step-by-step explanation:

2^n = 1024

2^n = 2^10

n = 10

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4^(2n-3) = 4^2

2n-3 = 2

2n = 5

n = 2.5

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3 years ago
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