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Tema [17]
3 years ago
11

The some of five different single digit whole numbers is 30. Two of the numbers are one and eight if we multiply the same five n

umbers the product is 2520. What are the other three numbers?
Mathematics
1 answer:
Blizzard [7]3 years ago
4 0
1+8+x+y+z=30
9+x+y+z=30
x+y+z=21

1*8*x*y*z=2520
8xyz=2520
xyz=315

2+19=21 19 can't be made with single digit numbers:
not 2
3+9+9=21 9 can't be used twice:
not 3
4+8+9=21 8 is one of the other numbers and 4 can therefore not be used:
not 4

5+7+9=21 and 5*7*9=21

The other 3 numbers are as follows: 5, 7, 9

Hope this helps :)
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The angle from a stake in the ground to the top of a tree is 60 degrees. If the height of the tree is 40 feet, what is the dista
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23.09 ft

Step-by-step explanation:

Here we are given that the angle from stake in ground to the top of the tree is 60° and the height of the tree is 40ft . We are interested in finding out the distance from stake to the bottom of the tree . For figure refer to the attachment .

From the figure , BC = 40ft which is the perpendicular of the right angled triangle ABC . Also assume that AB = x ft , which is the base of the triangle .

Now since we have base and perpendicular , we should use the ratio of tangent as ,

\rm\longrightarrow tan\theta =\dfrac{perpendicular}{base}=\dfrac{p}{b}

And here \theta = 60° . On substituting the respective values , we have ;

\rm\longrightarrow tan 60^o =\dfrac{40\ ft}{x \  }\\

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Cross multiply ,

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\rm\longrightarrow \underline{\underline{\red{{x =23.09\ ft }}}}

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