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:
1
Step-by-step explanation:
Given:
circular pool with a diameter of 25 meters.
find: area of the bottom of the pool.
It is safe to assume that the diameter of the pool is the same from the top of the pool to the bottom of the pool.
Area of a circle = π r²
where:
π = 3.14
r = diameter / 2 = 25 meters / 2= 12.5 meters
Area of a circle = 3.14 * (12.5m)²
= 3.14 * 156.25 m²
Area of a circle = 490.625 m²
490.625 m² round to the nearest tenth is 490.60 m²
We round down because the number after 6 is 2. Whenever a number to be rounded off is followed by 0,1,2,3,and 4. Then, the number is rounded down.
The residual value is -1.14.
Plug 5 into x
y=-0.7(5)+2.36
=-1.14
Answer:
Last Option 
.
Step-by-step explanation:
In this question we will do the factors of given two terms then we will do the common factors of all the terms given in answer to match with.
Common factors of 36h³ = 1×2×2×3×3×h×h×h
Common factors of 
= 1×2×2×3×h×h×h×h×h×h
In these two terms greatest common factor Of these two terms is = 1×2×2×3×h×h×h = 12h³
Therefore the third term will be the number which has the greatest common factor = 12h³
So the given terms are
6h³ = 1×2×3×h×h×h
12h² = 1×2×2×3×h×h
= 1×2×3×5×h×h×h×h
= 1×2×2×2×2×3×h×h×h×h×h
Therefore the greatest common factor of the term which matches with 12h³ is
