Answer:
17m
Step-by-step explanation:
Draw a picture for the situation:
__________<u>15m</u>___________
| |
b | | 8m
|________________________|
a
We can assume the floor is a rectangle. Cut the triangle diagonally in half.
The rectangles has all right angles and is composed of two right triangles.
Use the Pythagorean formula and solve for the length of the hypotenuse to find the distance between two the opposite corners. I labelled two of the sides a and b.
The formula is: a² + b² = c² , where c is the distance. Substitute the side lengths a and b and solve for c.
a² + b² = c²
15² + 8² = c²
Simplify:
225 + 64 = c²
c² = 289
c = √289
c = 17
The distance between two opposite corners on the floor is 17 metres.
Answer:
40 - 2 point questions and 4 - 5 point questions
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 44
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.
x + y = 44 becomes x = 44 - y. Substitute it.
2(44-y) + 5y = 100
88 - 2y + 5y = 100
88 + 3y = 100
3y = 12
y = 4
Substitute y = 4 back into the equation x = 44 - y to find x.
x = 44 - 4
x = 40
Answer:
60 + .20*120= 84
10 + 120/10*.10= 11.20
90 - 60 + 30/.20 = 180
Step-by-step explanation:
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
Answer:
t=7.27 years
Step-by-step explanation:
Let the money be p and t will be the number of years that will be needed for the money to get double.
ATQ, 2p=p*(1+0.1)^t
2=(1.1)^t
log(2)/log(1.1)=t, t=7.27
