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3 years ago

Solve for x, round answer to nearest thousandth 22^3x+2=114

Mathematics

1 answer:

vazorg [7]3 years ago

7 0

Answer:

x=28/363 or x=0.077134

Step-by-step explanation:

484×3x=114-2

1452x=112

x=112/1452

x=28/363

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On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

4 0

4 years ago

The sum of three consecutive odd integers is 297. Compute the PRODUCT of the same three consecutive odd integers.

svetoff [14.1K]

Answer:

Step-by-step explanation:

let the odd numbers be x,x+2,x+4

x+x+2+x+4=297

3x+6=297

3x=297-6=291

x=291/3=97

consecutive odd integers are 97,99,101

97×99×101=97×(100-1)×(100+1)=97×(100²-1)=97×100²-97=970000-97=969903

4 0

3 years ago

Please help what is 3x + 2 = 11

Rus_ich [418]

3x = 11 -2

3x = 9

x = 3

just make X the subject of the formula and you will get to ur final answer. Easy.

4 0

3 years ago

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Find the measure of angles JGH. Explain or show your reasoning

boyakko [2]

JGH is equal to 150degrees because angle JGF is 30degrees 180 - 30 = 150

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3 years ago

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Can someone please help me with 9 and 10

padilas [110]

Answer:for number one its q and r and then its w,x,y for the second one

Step-by-step explanation:

hope its helps

7 0

3 years ago