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1 year ago

X to the power of 2 minus 6 minus 7

Mathematics

1 answer:

nirvana33 [79]1 year ago

4 0

Answer:

$x=\sqrt{13}$

Step-by-step explanation:

$x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}$

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A basketball gymnasium is 25 meters high, 80 meters wide and 200 meters long. We want to connect two strings, one from each of t

Rudiy27

Answer:

a) the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be 216.85 m

c) the angle that is formed by the strings is 1.23 rad

Step-by-step explanation:

assuming that we stand on one of the corners on the floor , so our coordinates are (0,0,0) , then the coordinates of the center of the gymnasium are found through

x center = (25 + 0)/2 = 12.5 m

y center = (80+ 0)/2 = 40 m

z center = (200+ 0)/2 = 100 m

then the centre is at (12.5 m, 40 m , 100 m ) with respect to our position

b) the length of the strings S will be the modulus of the vector that points from our position to the diagonally opposite corners

|S| = √(25²+80²+200²) = 216.85 m

c) the angle can be found through the dot product of the vectors that represent the strings S₁ and S₂

S₁ =(25,80,10)

S₂ =(-25,80,100)

then

S₁*S₂ = 25*(-25) +80*80 + 100*100 = 15775

but also

S₁*S₂ = |S₁||S₂| cos θ = |S|² * cos θ

S₁*S₂ = |S|² * cos θ

cos θ= S₁*S₂/|S|²

θ= cos ⁻¹ ( S₁*S₂/|S|² ) = cos ⁻¹ [15775/(25²+80²+200²)] = 1.23 rad

7 0

3 years ago

The annual 2-mile fun-run is a traditional fund-raising event to support local arts and sciences activities. It is known that th

victus00 [196]

Answer: 0.0228

Step-by-step explanation:

Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

$\mu=30\\\\\sigma=5.5$

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.

Let X be the random variable that represents the finish times for this event.

z score : $z=\dfrac{x-\mu}{\sigma}$

$z=\dfrac{19-30}{5.5}=-2$

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

$P(X$

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228

8 0

2 years ago

1.9/10 times 3/6 then simplified

givi [52]

1) 0.095
2)0.1875
3)0.3
4)0.21875
5)0.133
6)0.66
7) 0.6
8)0.375

8 0

3 years ago

Simplify the following expression and show your work in details please .

wel

Answer:

9-2b

Step-by-step explanation:

Set up equation:

$9 - 8b + 6b$

Add like terms

$9 - 2b$

6 0

3 years ago

Read 2 more answers

Can someone help me???

KATRIN_1 [288]

Answer:

8/17 i hope this helps! :)

Step-by-step explanation:

measure of angle k = 8/17 = 28.072 degrees

measure of angle m = 15/8 = 61.928 degrees

3 0

3 years ago

Read 2 more answers