Answer:
1 < x < 7.5
Step-by-step explanation:
This problem can be solved using given below property of triangle.
Sum of two sides is always greater than third side of triangle.
Difference of two sides is always lesser than third side of triangle.
_______________________________________________
Given
sides length
6.5 units
3.5 units
Third side is 2.5 + x
using the property, Sum of two sides is always greater than third side of triangle.
6.5 + 3.5 > 2.5 +x
=>10 >2.5 + x
=>2.5 + x< 10
=> x< 10 -2.5
=> x < 7.5
using the property, Difference of two sides is always lesser than third side of triangle.
6.5 - 3.5 > 2.5 +x
=>3.5 > 2.5 +x
=> 2.5 +x > 3.5
=> x > 3.5 - 2.5
=> x > 1
combining both we have
1 < x < 7.5
out of the given option none is 1 < x < 7.5
hence, correct answer will be 1 < x < 7.5 and wrong option can be claimed by student.
Answer:
a. $17.50
b. $11.25
c. $5
Step-by-step explanation:
First, set up an equation:
20 - 1.25x = m
Now let's substitute in for x (which is how many snacks you buy) to solve for m (the amount of money you have left):
20 - 1.25 ( 2 ) = m
20 - 2.50 = m
17.50 = m
20 - 1.25 ( 7 ) = m
20 - 8.75 = m
11.25 = m
20 - 1.25 ( 12 ) = m
20 - 15 = m
5 = m
Given that the hall is rectangular in shape, then the shortest path that Amy must travel to reach Alice would be through the hall's diagonal.
Applying the Pythagorean theorem, with the length and width as the legs and the diagonal as the hypotenuse of the right triangle. Thus,
diagonal = √ ( 100² + 60²) = √13 600 ≈ 116.62 ft
The shortest distance, rounded off to the nearest foot, is 117 ft<span>. </span>
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
y
=
0
.
Horizontal Asymptote:
Answer:
B
Step-by-step explanation:
B is the right one because the question says that every 4 executives can go into 1 office
