✨Answer:
✨:P (X) is 7/10P(not X) is 3/10 The total is 10 so that's ur denominator The probability of landing on a grey area is 7/10✨
Step-by-step explanation:✨
✨~hope this helps~✨
✨GOD LOVES YOU✨
Answer:
464 feet
Step-by-step explanation:
<em>The Sine of the angle of inclination gives the increase in altitude.</em>
<em>This is because the Sine of an angle is equal to the Opposite side divided by the Hypotenuse side. i.e</em>
Sin Ф = Opposite ÷ Hypotenuse
Sin 5° = O ÷ 5328
0·08716 = O ÷ 5328
<em>Make </em>O<em> the subject and multiply every fraction by </em>5328
(0·08716/1 × 5328)= (O/5328 × 5328)
464·388 = O
∴ The increase in altitude is 464·388 feet
<em>This is supposed to be to the nearest foot so we round off</em>
464·388 becomes 464 feet
Answer: x = (sqrt(7) + 2)/3 and
x = ( – sqrt(7) + 2)/3
Explanation:
3x^2 - 4x - 1 = 0
Divide both sides by 3:
3x^2/3 - 4/3x - 1/3 = 0/3
x^2 - 4/3x - 1/3 = 0
x^2 - 4/3x = 1/3
x^2 - 4/3x + (2/3)^2 = 1/3 + (2/3)^2
(x - 2/3)^2 = 1/3 + 4/9
(x - 2/3)^2 = 7/9
Sqrt both sides:
x - 2/3 = sqrt (7/9)
x - 2/3 = |sqrt(7)/3|
Set x -2/3 = sqrt(7)/3
=> x = (sqrt(7) + 2)/3
Set x - 2/3 = - sqrt(7)/3
=> x = ( - sqrt(7) + 2)/3
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
Answer:
Maximum height is 7 feet
Step-by-step explanation:
Solution:-
- The complete question is as follows:
" The height of a small rise in a roller coaster track is modeled by f(x) = –0.07x^2 + 0.42x + 6.37, where x is the distance in feet from a supported at ground level.
Find the greatest height of the rise "
- To find any turning points ( minimum or maximum ) points of a trajectory expressed as function of independent parameter, we find the critical points of the trajectory where the first derivative of the dependent variable w.rt independent variable is set to zero.
- In our case the height of the roller coaster track (y) is function of the distance (x) from a supported pole at ground level.
f(x) = –0.07x^2 + 0.42x + 6.37
- Now set the first derivative equal to zero, and determine the critical values of x:
0 = -0.14x + 0.42
x = 0.42 / 0.14 = 3 ft
- The critical value for the coaster track is at point 3 feet away from the supported pole at ground level. So the height f(x) at x = 3 ft, would be:
f ( x = 3 ) = max height
max height = –0.07*3^2 + 0.42*3 + 6.37
= 7 ft
