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3 years ago

How do i answer the question 6+2|x+1|=36

Mathematics

1 answer:

Rom4ik [11]3 years ago

4 0

Answer:

14 or -16

Step-by-step explanation:

6 + 2 |x+1| = 36

Assuming that 2 |x+1| means 2 multiplied by |x+1|,

6 + 2 X |x+1| = 36

Subtract 6 on both sides.

2 X |x+1| = 30

Divide 2 on both sides.

|x+1| = 15

x = 14 or -16

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An airplane pilot can see the top of a traffic control tower at a 20 degree angle of depression. the airplane is 5,000 feet away

daser333 [38]

The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.

Let the required length be x, then

$\tan{20^o}=\cfrac{opp}{hyp}=\cfrac{x}{5,000}\\ \\ \Rightarrow x=5,000\tan{20^o}=1,819.85$

Therefore, the height of the airplane above the tower is 1,819.85 feet.

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3 years ago

Read 2 more answers

based on past games, the probablity that a basketball player will make his next free throw is 5/12. what is the probablity that

Svetradugi [14.3K]

Answer:

The probability would be 7/12

Step-by-step explanation:

Since making or missing a shot is a binary situation, we know that we can subtract the probability from 1 and get the opposite.

1 - 5/12 = 7/12

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3 years ago

A car drvies at a speed of 60 mph for 30 minutes. Calculate how far it travles

Studentka2010 [4]

Answer:

30 miles

Step-by-step explanation:

Distance = speed x time

30 minutes can be considered as ½ an hour.

60 x ½=30miles

8 0

3 years ago

At what point does she lose contact with the snowball and fly off at a tangent? That is

postnew [5]

Answer:

α ≥ 48.2°

Step-by-step explanation:

The complete question is given as follows:

" A skier starts at the top of a very large frictionless snowball, with a very small initial speed, and skis straight down the side. At what point does she lose contact with the snowball and fly off at a tangent? That is, at the instant she loses contact with the snowball, what angle α does a radial line from the center of the snowball to the skier make with the vertical?"

- The figure is also attached.

Solution:

- The skier has a mass (m) and the snowball’s radius (r).

- Choose the center of the snowball to be the zero of gravitational potential. - We can look at the velocity (v) as a function of the angle (α) and find the specific α at which the skier lifts off and departs from the snowball.

- If we ignore snow-ski friction along with air resistance, then the one work producing force in this problem, gravity, is conservative. Therefore the skier’s total mechanical energy at any angle α is the same as her total mechanical energy at the top of the snowball.

- Hence, From conservation of energy we have:

KE (α) + PE(α) = KE(α = 0) + PE(α = 0)

0.2*m*v(α)^2 + m*g*r*cos(α) = 0.5*m*[ v(α = 0)]^2 + m*g*r

0.2*m*v(α)^2 + m*g*r*cos(α) ≈ m*g*r

m*v(α)^2 / r = 2*m*g( 1 - cos(α) )

- The centripetal force (due to gravity) will be mgcosα, so the skier will remain on the snowball as long as gravity can hold her to that path, i.e. as long as:

m*g*cos(α) ≥ 2*m*g( 1 - cos(α) )

- Any radial gravitational force beyond what is necessary for the circular motion will be balanced by the normal force—or else the skier will sink into the snowball.

- The expression for α_lift becomes:

3*cos(α) ≥ 2

α ≥ arc cos ( 2/3) ≥ 48.2°

4 0

3 years ago

The attractive pair of boots that Tomiko wants to buy is selling for $80. Before she can buy them, the store raises the price bu

navik [9.2K]

Answer:

30%

Step-by-step explanation:

To find the percentage, you need to set up a proportion:

$\frac{x}{100} =\frac{24}{80}$ ,

so solving for x we get 80x=2400 (cross-multiplication)

x=30

So, they raised the price by 30%.

4 0

3 years ago