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kozerog [31]
4 years ago
9

Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the

hole for a tree that is 17 feet high
Mathematics
2 answers:
nlexa [21]4 years ago
4 0
Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high. 

Calculations 

\frac{DEEP}{HIEGHT} 

Cross multiplication

\frac{3 DEEP}{5 HIEGHT} = \frac{x}{13} 

5x = 2 x 13 

Divide by 5 to isolate x

\frac{5x}{5} = \frac{51}{5} 

x = 10.2 

Answer = 10.2 
Inga [223]4 years ago
4 0
5/3=1.66666... so thats the ratio so 17/ 1.6666666... would equal 10.2 which is your answer.
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kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

area =  \frac{1}{2}  \times base \times height

let \: base = 22 \\ let \: height = 3

area =  \frac{1}{2}  \times 22 \times 3

area = 11 \times 3

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6 0
3 years ago
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mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

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a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}

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3 years ago
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Step-by-step explanation:

8 0
3 years ago
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ki77a [65]

Answer:

x =7

Step-by-step explanation:

Solve for x:

5 x - 10 + 65 = 90

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5 x + 55 = 90

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5 x + (55 - 55) = 90 - 55

55 - 55 = 0:

5 x = 90 - 55

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5/5 = 1:

x = 35/5

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Answer:  x = 7

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iragen [17]

Answer:

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