Answer:
5 /36
Step-by-step explanation:
Sample space :
Number of faces^number of dice = 6^2 = 36
Sum of 8 on a roll of 2 dies :
Probability = required outcome / Total possible outcomes
Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5
Total possible outcomes = sample space = 36
P(obtaining a sum of 8) = 5 /36
Answer:
We can think that the line of the kite is the hypotenuse of a triangle rectangle, and the altitude is one of the cathetus of the triangle.
And we know that it makes an angle of 65° with the horizontal (i guess this is measured between the hypotenuse and the horizontal adjacent to the kite.
This angle is complementary to the top angle of our triangle rectangle, such that A + 65° = 90°
A = 90° - 65° = 25°
Then the altitude of the kite is the adjacent cathetus to this angle.
We can use the relation:
sin(A) = Adjacent cathetus/hypotenuse.
Sin(25°) = X/350ft
Sin(25°)*350ft = X = 147.9m
Answer:
The number is -4.
Step-by-step explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
Now Solving the above equation to find value of n we get;
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.
Answer:
15
Step-by-step explanation:
Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...
2x +5(27 -x) = 90
-3x = 90 -135 . . . . subtract 135
x = -45/-3 = 15 . . . divide by -3
Rob had 15 algebra problems for homework.
