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Slav-nsk [51]
3 years ago
14

Maggie lives on a street with 10 houses. The houses are numbered 1 to 10. If Maggie adds up all the house numbers that are lower

than hers, the total is three times her actual house number. What number is Maggie’s house?
Mathematics
2 answers:
aev [14]3 years ago
6 0

Answer:

7

Step-by-step explanation:

1+2+3+4+5+6=21

21÷3=7

lions [1.4K]3 years ago
3 0

Answer:

Her house number would be 7.

Step-by-step explanation:

If you add up all the houses previous to house number 7 the sum would be 21 which is three times her house number.

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Nikitich [7]
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Work:
-5x-10=10
     +10  +10
______________
-5x=20
_______
-5    -5

x=-4


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A flagpole is located at the edge of a sheer y = 70-ft cliff at the bank of a river of width x = 40 ft. See the figure below. An
Gnom [1K]
I would solve this using tangents.  Let h be height of flagpole.
Set up 2 right triangles, each with a base of 40.
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Smaller triangle has height of 70.

Now write the tangent ratios:
tan A = \frac{h+70}{40}  , tan B = \frac{70}{40}

Note: A-B = 9
To solve for h we need to use the "Difference Angle" formula for Tangent
tan (A-B) = \frac{tanA - tanB}{1+tan A  tan B}
Plug in what we know:
tan(9) = \frac{ \frac{h+70}{40} -  \frac{70}{40}}{1+ (\frac{h+70}{40})(\frac{7}{4})}
tan (9) = \frac{ \frac{h}{40}}{ \frac{7h +650}{160}} = \frac{4h}{7h+650}
h = \frac{650 tan(9)}{4-7 tan(9)}
h = 35.6
7 0
3 years ago
For which value of Theta is tan Theta equal to sin Theta?<br>A. pi<br>B. pi/2<br>C. pi/4<br>D. pi/6​
AnnyKZ [126]

Answer:

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Step-by-step explanation:

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