Answer:
x=1.528534
Explanation:
Simplify both sides of equation
4(2x-3)=0.2(x+5)/5.72
(4)(2x)+(4)(−3)=0.034965x+0.174825(Distribute)
8x+−12=0.034965x+0.174825
8x−12=0.034965x+0.174825
Step 2: Subtract 0.034965x from both sides.
8x−12−0.034965x=0.034965x+0.174825−0.034965x
7.965035x−12=0.174825
Step 3: Add 12 to both sides.
7.965035x−12+12=0.174825+12
7.965035x=12.174825
Step 4: Divide both sides by 7.965035.
7.965035x/7.965035=12.174825/7.965035
x=1.528534
Answer:
Step-by-step explanation:
When taking a square root and making it a radical, we need to list out it's factors and find which one we can take the square root of.
The factors of 40 are:
1, 2, 4, 5, 8, 10, 20, 40.
Out of these, we need to look for one that we can find the square root of.
We know that the square root of 4 is 2.
Therefore, we can make into .
The square root of 4 is 2. Therefore, we can put that outside the radical.
.
Hope this helped!
Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor
The scale factor is equal to
substitute
simplify
Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>
<em>Area of the large triangle</em>
ratio of the areas (small to large)
Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
So the since the length of the longer side is 45inches we know that the longer table is 5 times as larger than the small desktop. And we know 6 x 5 = 30.
So 45x30= 1,350 so the answer is 1,350 square inches! :)
Answer:
Option A, B, and C.
Step-by-step explanation:
Given, 6x ≥ 3 + 4(2x - 1),
Solve to find the correct representations given in the options.
6x ≥ 3 + 4(2x - 1)
Apply distributive property
6x ≥ 3 + 8x - 4 (option B is correct) ✅
Add like terms
6x ≥ -1 + 8x
Add 1 to both sides
6x + 1 ≥ 8x
Subtract 6x from each side
1 ≥ 8x - 6x
1 ≥ 2x (option A is correct) ✅
Divide both sides by 2
1/2 ≥ 2x/2
½ ≥ x
½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.
This make option C correct.✅