Answer:
They are similar because 9/11 = 27/33.
Step-by-step explanation:
The width:length ratio is the same for each rectangle, so they are similar.
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Please note that it is actually possible to write these fractions using numbers and symbols only. (And, they're much easier to read this way.)
Answer:
5 of the 7 boxes are 8 inches in height
Step-by-step explanation:
Mathematically;
1 ft = 12 inches
So, 5 ft will measure 5 * 12 = 60 inches
So from what we have ,
We want to combine 8 and 10 inches to give 60 inches total
Let the number of 10 inches be x and the number of 8 inches be y
Mathematically;
x + y = 7 •••••(i)
10x + 8y = 60 ••••(ii)
From equation i, x = 7-y
Put this in equation ii
10(7-y) + 8y = 60
70-10y + 8y = 60
70-60 = 10y-8y
2y = 10
y = 10/2
y = 5
Answer:
Usually, angle bisectors divide a given angle into two separate angles with equal measures, or two equal parts.
Based off of the picture you've given, it seems as if the angle bisector doesn't split the angle into 2 equal measures, since one angle looks like it will be bigger than the other.
Sin³ x-sin x=cos ² x
we know that:
sin²x + cos²x=1 ⇒cos²x=1-sin²x
Therefore:
sin³x-sin x=1-sin²x
sin³x+sin²x-sin x-1=0
sin³x=z
z³+z²-z-1=0
we divide by Ruffini method:
1 1 -1 -1
1 1 2 1 z=1
-------------------------------------
1 2 1 0
-1 -1 -1 z=-1
--------------------------------------
1 1 0 z=-1
Therefore; the solutions are z=-1 and z=1
The solutions are:
if z=-1, then
sin x=-1 ⇒x= arcsin -1=π+2kπ (180º+360ºK) K∈Z
if z=1, then
sin x=1 ⇒ x=arcsin 1=π/2 + 2kπ (90º+360ºK) k∈Z
π/2 + 2kπ U π+2Kπ=π/2+kπ k∈Z ≈(90º+180ºK)
Answer: π/2 + Kπ or 90º+180ºK K∈Z
Z=...-3,-2,-1,0,1,2,3,4....
Answer:
so the plants will grow more
