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MA_775_DIABLO [31]
2 years ago
10

A line from the top of a cliff to the ground passes just over the top of a pole 6.0 ft. high and meets the ground at a point 7.0

ft. from the base of the pole. if the point is 86 ft. from the base of the cliff, how high is the cliff? round to the nearest unit.
Mathematics
1 answer:
Anit [1.1K]2 years ago
7 0
This will solved using the concept of proportionality:
(height of the cliff)/(height of the pole)=(base of the cliff)/(length from base of pole to the rope)
thus, let the height of the cliff be x, plugging the values in the formula we obtain:
x/6=86/7
hence solving for x we get
x=(86×6)/7
x=73.71 ft
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Plz help this is due tonight and I have no clue :(
motikmotik
Section 1:

using this format we can determine what the answer is:

42 105
—— • ——-
100 x

(the spacing may be off but imagine two separate fractions)

first multiply 100 by 105 to get 10,500

then divide by 42 to get 250

this means that sasha’s book has 250 pages

section b:

using the same formula we can solve this problem:

first we need to multiply 250 by 2 to get the total cost of both tickets

175 x
—— • ——
100 500

(again spacing may be off but think of two separate fractions)

then multiply 500 by 175 to get 87,500

then divide by 100 to get 875

to find the profit subtract 875-500

this means he will make $375 profit

conclusion:

sasha’s book has 250 pages

trevor will make $375 profit

this is the method my teacher taught me last year so it should be right, hope this helps and please mark brainliest!!
8 0
3 years ago
Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55 miles per hour. At least how many hours
Fofino [41]

Answer:

3 hours and 45 minutes

Step-by-step explanation:

190/55=3.4545

8 0
2 years ago
How to solve (2.31*10^-6)+(5.87*10^-4)
S_A_V [24]

We want to calculate the following

2.31\cdot10^{-6}+5.87\cdot10^{-4}

Using the properties of exponents, we have that

10^{-6}=10^{-4}\cdot10^{-2}

So we have

2.31\cdot10^{-6}+5.87\cdot10^{-4}=2.31\cdot10^{-2}\cdot10^{-4}+5.87\cdot10^{-4}

So, if factor 10^-4 on the right side, we have

10^{-4}(2.31\cdot10^{-2}+5.87)

Note that

2.31\cdot10^{-2}=0.0231

Then,

5.87+2.31\cdot10^{-2}=5.87+0.0231=5.8931^{}

So we have that

2.31\cdot10^{-6}+5.87\cdot10^{-4}=5.8931\cdot10^{-4}

5 0
1 year ago
Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and t
spayn [35]

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

8 0
2 years ago
HELP PLEASEEEEEEEEEEEEE
zhenek [66]

9514 1404 393

Answer:

  2 1/12 days

Step-by-step explanation:

Time is the ratio of distance to speed.

  (1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days

5 0
2 years ago
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