Answer:
W = -3
Step-by-step explanation:
The answer for the first question is 10%.
Reason: The second number (110) is larger than the first number (100) by 10 it is 10% the first number.
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The answer for the second question is 25%, also.
Reason: The first number (100) is smaller than the second number (110) by 10 and it is 9.1% of the second number.
:)
[x] represents floor function also called as Greatest integer function.
Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.
like [1.5]=1
[0.7]=0
[-0.3]=-1
Now we have to find set of x-values which satisfies equation [x-1]=[x]
Due to -1 in [x-1], it always produces output value one less than value of [x]
for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1
when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0
when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2
From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]
Hence there is NO solution.
Answer:
(Triangular pyramid)
Lateral area = 1650
Total surface area = 1860.1
(Triangular prism)
Volume = 660
Step-by-step explanation:
<u> For the triangular pyramid</u>
Area of triangle =
× base × height
Area of the base =
× 22 × 19.1 = 210.1
Area of the sides =
× 22 × 50 = 550
Number of sides (excluding base) = 3
∴ Total Area = 210.1 + (550 × 3)
= 210.1 + 1650 = 1860.1
Lateral Area = (550 × 3) = 1650
<u>For the triangular prism</u>
Area of the triangle =
× 12 × 5 = 30
Volume = Area x Height
Volume = 30 × 22 = 660