Hello there! :D
Find the scale of the sides.
40/5=8 (the longer side is 8 times bigger than the shorter one)
3*8= 24
2x+10=24
Subtract 10 on both sides.
2x=14
Divide by two on both sides.
x=7
I hope this helps!
~kaikers
Answer:
70/100.
Step-by-step explanation:
When adding fractions, you need to find a common denominator.
This just means that the numbers at the bottom of both fractions you are adding must be the same.
So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).
To do this, you need to multiply 10 by 10 to get 100.
What you do to the bottom, you must always do to the top as well.
So multiply 7 by 10 and get 70.
70/100 will replace 7/10.
Now you can add fractions because the bottom numbers are the same.
The student is incorrect because if they were to reflect point A over the X-axis, this would mean they are moving it from its current quadrant to the one below. In that quadrant, the Y coordinate will be negative. So it couldn't possibly (6,3), because the 3 isn't negative.
Answer:
36ml
Step-by-step explanation:
volume = A×h
here A = base area
A = 4cm × 3cm = 12cm²
h= 3cm
volume = A× h= 12cm²× 3cm = 36cm³
36cm³ can hold 36 ml of water.
Answer:
20ft
Step-by-step explanation:
We have two unknowns, the length and the width of the floor. Let us represent this by l and w respectively.
Firstly, we are told that the length of the floor is twice its width. This mathematically means that l = 2w
The width of the rectangular carpet is 2ft less than the width of the floor but the floor length is equal. This means that the width of the floor is (w - 2)ft
Now we are told that the area of the rectangular carpet is 160 sq.ft
This means the length of the carpet multiplied by the width is 160
Mathematically:
l * (w-2) = 160
We know that l = 2w, if we substitute this:
2w(w - 2) = 160
w(w -2) = 80
w^2 -2w = 80
w^2 - 2w - 80 = 0
w^2 -10w + 8w -80 = 0
w(w -10) + 8(w - 10) = 0
(w + 8)(w -10) = 0
w = -8 or 10
Since distance cannot be negative, we ignore the -8 and use the 10 only
Hence the width is 10ft
The length is 2 times the width. The length is thus 2 * 10ft = 20ft
