SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
It takes 8 liters to cover 800 sqft of floor
there are 3.78541 liters in a gallon so it would take 2.11338 gallons to cover the floor
Answer:
2019.
Step-by-step explanation:
We have been given that for the years from 2002 and projected to 2024, the national health care expenditures H, in billions of dollars, can be modeled by
where t is the number of years past 2000.
To find the year in which national health care expenditures expected to reach $4.0 trillion (that is, $4,000 billion), we will substitute
in our given formula and solve for t as:




Take natural log of both sides:





So in the 18.5 years after 2000 the expenditure will reach 4 trillion.

Therefore, in year 2019 national health care expenditures are expected to reach $4.0 trillion.
Answer:
A) 113 m²
Step-by-step explanation:
Use the formula for area of a circle.
Area of a circle = πr²
π = pi = 3.14 (rounded)
r = radius
² = the power of 2, or the radius (in this case) multiplied by itself.
Note that the radius is given, and it is 6. Plug in 6 for the radius:
A (circle) = π(6)²
First, solve the power. Multiply 6²:
6² = 6 * 6 = 36
Next, multiply 36 with π (3.14):
36 x 3.14 = 113.04
A) 113 m² is your closest answer.
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