Answer:
D) 30
Step-by-step explanation:
L and V are the same so you have to rotate triangle LMN so that L points up like V. Next look at the hypotenuses, they are 40 and 24. set them up it a proportion like so 40/24. Then simplify to get 5/3. Now you multiply that by 18 to find the missing side with is 30.
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Answer:
425
Step-by-step explanation:
Stamps from Canada are: 55
But Scott has 315 more stamps from the u.S. Than from Canada, so his stamps from U.S are: 315 + 55 = 370
=> the total number of stamps he has in his collection
= Stamps from Canada + stamps from U.S
= 55 + 370
= 425
Start dividing this by having 0.0339 over 1.3 then move each decimal over one space. Divide as normal.
Answer:
The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Step-by-step explanation:
Given
Rectangle Pyramid
Base Length = 3x + 1
Base Width = x
Height = 12
Volume = 96
Required
Dimension of the base of the pyramid
Given that the volume of the pyramid is ⅓ of the base area * the height.
This is represented mathematical as
Volume = ⅓ * base area * height.
Where
Base area = width * length
Base area = (3x + 1) * x
Base area = 3x² + x.
So,
Volume becomes
Volume = ⅓ * (3x² + x) * 12.
Volume = (3x² + x) * 4
Substitute 96 for volume
96 = (3x² + x) * 4
Divide both sides by 4
96/4 = (3x² + x) * 4/4
24 = 3x² + x
Subtract 24 fr both sides
24 - 24 = 3x² + x - 24
0 = 3x² + x - 24
3x² + x - 24 = 0
Expand
3x² + 9x - 8x - 24 = 0
Factorize
3x(x + 3) - 8(x + 3) = 0
(3x - 8)(x + 3) = 0
3x - 8 = 0 or x + 3 = 0
3x = 8 or x = -3
x = 8/3 or x = -3
Recall that
Length = 3x + 1
Width = x
For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.
Substitute x = 8/3
Length = 3x + 1
Length = 3(8/3) + 1
Length = 8 + 1
Length = 9
Width = x
Width = 8/3
Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Answer:
The solution is r <u>></u> 7.
Closed circle at 7 with an arrow pointing to the right
Step-by-step explanation:
