Answer:$240
Step-by-step explanation:
What is the area of Rectangle C?
Answer:
2 square units
Step-by-step explanation:
hello
The scale factor or linear scale factor is the ratio between the length of the same side in two similar figures.
in the graph we have a rectangle with width 5 units and long 10 units, and we know the scale factor is 1/5
A=2 square units
I hope it helps
Answer:
The area of rectangle C is 2
Step-by-step explanation:
Using a scale factor of yields the side lengths of 1 and 2
Answer:
An Inverse variation states that a relationship between two variables in which the product is always constant.
If one of the variable increases then the other decreases in proportion so that the product is unchanged.
if y is inversely proportional to x, then the equation is of the form
, where k is constant.
As per the given condition, A constant force acts upon an object, the acceleration of the object varies inversely with it's mass.
i.e,
By definition of inverse variation;
. ......[1] ,where F is the constant force.
It is given that an object has mass(m)= 4kg and the acceleration of an object(a) = 14
Substitute these in [1] to find the constant force F;
or
Now, if the same force acts upon the another object whose mass (m) = 7 kg then calculate acceleration.
[1]⇒
therefore, the acceleration of an another object is,
Inverse variation or inverse proportionality represents that one value increases as the other decreases. In the context of physics, it indicates that with a constant force, the acceleration of an object is inversely proportional to its mass. If a 4 kg object has an acceleration of 14 m/s^2, a 7 kg object will have an acceleration of 8 m/s^2.
The concept raised here is related to the law of inverse variation, also known as the inverse proportionality concept found in Physics. This law states that when a constant force acts upon an object, the acceleration of the object is inversely proportional to its mass. Essentially, the more mass an object has, the less it accelerates. We can write this rule as a = F/m, where 'a' is acceleration, 'F' is the applied force, and 'm' is the mass of the object. From the given data, the force 'F' could be calculated from the first scenario where the mass, m = 4 kg and acceleration, a = 14 m/s^2. We have, F = a*m which is 14*4 = 56 N (Newtons). To find the acceleration of the second object with a mass 7 kg and under the same force, we apply the formula a = F/m, leading to a = 56 / 7 = 8 m/s^2. So, the acceleration of the object with 7 kg mass would be 8 m/s^2 under the same force.
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Given the dimensions of the brick, we first calculated its volume in cubic meters. Then we calculated the volume of the wall in cubic meters. Dividing the volume of the wall by the volume of a single brick, we find that we need 20,000 bricks to build the wall.
This is a problem in Mathematics, specifically involving volume and unit conversion. The volume of the brick can be calculated using the formula for the volume of a rectangular prism, Volume = length x width x height. The dimensions given for the brick are in centimeters and the wall dimensions are given in meters. Therefore, we must convert the brick dimensions to meters: 30 cm = 0.3 m, 10 cm = 0.1 m and 7.5 cm = 0.075 m. The volume of one brick is 0.3 m * 0.1 m * 0.075 m = 0.00225 cubic meters.
The volume of the wall is also given by the formula length x width x height, so it is 30 m * 2 m * 0.75 m = 45 cubic meters. To find the number of bricks required to fill this volume, divide the volume of the wall by the volume of a single brick, 45 m³ / 0.00225 m³ = 20000 bricks. Thus, it will take 20,000 bricks to build the wall.
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Answer:
the answer is 45
Step-by-step explanation:
all you have to do is multiply 30*2*3/4
to get 45
Paige was assigned 40 math problems.
An expression is a combination of numbers, variables, and operators that represents a mathematical quantity or relationship. Expressions do not contain an equals sign (=) and are not true or false statements. Instead, expressions are evaluated to produce a value or another expression.
Let's call the total number of math problems Paige was assigned "x".
Paige solved the first 32 problems, so she still had to solve x - 32 problems after dinner.
We know that she finished the last 20% of the assignment after dinner, which means she solved 80% of the problems before dinner.
80% of x can be written as 0.8x.
So, the equation we can set up is:
x - 32 = 0.2x
Solving for x, we get:
0.8x = 32
x = 40
Therefore, Paige was assigned 40 math problems.
To know more about an expression follow
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