Answer:
Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;
Convert variation to equality
; Where F is the constant of variation (Force)
Make F the subject of formula;
When mass = 4kg; Acceleration = 15m/s²
When mass = 10kg; Substitute 60 for Force
Divide both sides by 10
<em>Hence, the acceleration is </em><em />
Answer:
Surface Area of a Triangular Prism Calculator
In the general surface area is defined as the total area the surface of the object occupies. A triangular prism is a polyhedron that has a triangular base. It has 5 faces and 9 edges. Use our online surface area of a triangular prism calculator to efficiently calculate the total surface area occupied by the triangular based prism. Enter the triangle's sides, base, height, and prism height in the prism calculator to find the SA of the triangular prism.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.
Kimane = 
Friend = 
We add them together to find out how many pounds of apples they currently have.
Total Pounds = 
Just to make the equation clearer, we separate the whole numbers from the fractions.
Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the 
into a fraction with the same denominator.
We multiply both the numerator and denominator by 2 to have the same denominator.
So now we have:
Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.
So Kimane and his friend still need to get more pounds of apples to get 20 pounds of apples.
3.20 ÷ 2 = 1.6
3.20 + 1.6 = 4.8 (2 for $4.8)
4.8 x 8 = $19.20
The answer should be 8
Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)
