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3 years ago

30 foot ladder leaning aginst a 20 foot roof what's the angle between the ladder and ground

1 answer:

6 0

Let angle between ladder and ground be x,
sin x = opposite/hypothenus
sinx=20 foot/30 foot
sinx = 0.6667
x = 41.81 degrees

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Thank you!!!!!!!!!!!!!!!

OverLord2011 [107]

Answer:

Binomial distribution requires all of the following to be satisfied:

1. size of experiment (N=27) is known.

2. each trial of experiment is Bernoulli trial (i.e. either fail or pass)

3. probability (p=0.14) remains constant through trials.

4. trials are independent, and random.

Binomial distribution can be used as a close approximation, with the usual assumption that a sample of 27 in thousands of stock is representative of the population., and is given by the probability of x successes (defective).

P(x)=C(N,x)*p^x*(1-p)^(n-x)

where N=27, p=0.14, and C(N,x) is the number of combinations of x items out of N.

So we need the probability of <em>at most one defective</em>, which is

P(0)+P(1)

= C(27,0)*0.14^0*(0.86)^(27) + C(27,1)*0.14^1*(0.86^26)

=1*1*0.0170 + 27*0.14*0.0198

=0.0170+0.0749

=0.0919

4 0

3 years ago

Me Sidney rented a car for a day. The rental fee consists of flat rate of $19.99 plus 0.21 for an additional mile. For how how m

ipn [44]

19.99+0.21x=52.54

0.21x=32.55

x=155

Mr. Sidney drove 155 miles

Hope Your Thanksgiving Goes Well, Here's A Turkey

-TheKoolKid1O1

4 0

4 years ago

Select all the equations that are true. 24 x − 8 = 8 ( 3 x − 1 ) 24 x − 8 = 8 ( 3 x − 1 ) 6 m − 15 = 3 ( 2 m − 5 ) 6 m − 15 = 3

galina1969 [7]

Answer:

$24x - 8 = 8 ( 3 x - 1 )$

$6 m - 15 = 3 ( 2 m - 5 )$

$-7 x - 1 = - 1 ( 7 x + 1 )$

$-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )$

Step-by-step explanation:

Required

Select which of the equation is true

$24x - 8 = 8 ( 3 x - 1 )$

Open the bracket on the right hand side

$24x - 8 = 8 * 3 x - 8 *1$

$24x - 8 = 24x - 8$

Both sides of the equation are equal.

Hence, this equation is true

$6 m - 15 = 3 ( 2 m - 5 )$

Open the bracket on the right hand side

$6m - 15 = 3 * 2m - 3 * 5$

$6m - 15 = 6m - 15$

Both sides of the equation are equal.

Hence, this equation is true

$-7 x - 1 = - 1 ( 7 x + 1 )$

Open the bracket on the right hand side

$-7x - 1 = -1 * 7x -1 * 1$

$-7x - 1 = -7x -1$

Both sides of the equation are equal.

Hence, this equation is true

$16 a + 24 b = 8 ( 8 a + 16 b )$

Open the bracket on the right hand side

$16a + 24b = 8 * 8a + 8 * 16b$

$16a + 24b = 64a + 128b$

Both sides of the equation are not equal.

Hence, this equation is false

$-8 x -12 y - 16 = - 4 ( 2 x + 3 y + 4 )$

Open the bracket on the right hand side

$-8 x -12 y - 16 = - 4* 2 x -4 * 3 y -4 * 4$

$-8 x -12 y - 16 = -8x -12y -16$

Both sides of the equation are equal.

Hence, this equation is true

8 0

3 years ago

Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway truc

pickupchik [31]

Kinetic engery = -1/2mv^2

Work = Fd

Combine:

-1/2mv^2 - Fd = 0

-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0

Multiply both sides by 2:

v^2 = 2d(0.30*9.81*cos(6))

Solve for d:

d=v^2 / 2(0.30*9.81*cos96))

v = speed:

d = 35^2 / 2*0.30 * 9.81 * cos(6)

d = 1225 / 5.85376

d = 209.27 meters. Round answer as needed.

7 0

4 years ago

-5(3x - 2)= - 50. Im trippin over this problem bruh

Lyrx [107]

Don’t trip just use the distributive property. -5(3x-2)= -50 which would end up being -15x -7 = -50; then add 7 to both -7 which then they will cancel out and add 7 to -50 which equal -43 so x = -43

8 0

3 years ago

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