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stealth61 [152]
2 years ago
12

The distance between the bottom of a boat in the water line is called a draft. A boat in the water rises 14 feet above the water

. The boat's draft 6 feet. What is the vertical distance between the highest and lowest points of the boat?
Mathematics
2 answers:
vodomira [7]2 years ago
8 0

Answer:

84

Step-by-step explanation:

because you multiplication the number

Gnom [1K]2 years ago
4 0
The answer is 84 because you have to multiply 6 and 14
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I need help with #1 of this problem. It has writings on it because I just looked up the answer because I’m confused but I want t
belka [17]

In the figure below

1) Using the theorem of similar triangles (ΔBXY and ΔBAC),

\frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC}

Where

\begin{gathered} BX=4 \\ BA=5 \\ BY=6 \\ BC\text{ = x} \end{gathered}

Thus,

\begin{gathered} \frac{4}{5}=\frac{6}{x} \\ \text{cross}-\text{multiply} \\ 4\times x=6\times5 \\ 4x=30 \\ \text{divide both sides by the coefficient of x, which is 4} \\ \text{thus,} \\ \frac{4x}{4}=\frac{30}{4} \\ x=7.5 \end{gathered}

thus, BC = 7.5

2) BX = 9, BA = 15, BY = 15, YC = y

In the above diagram,

\begin{gathered} BC=BY+YC \\ \Rightarrow BC=15\text{ + y} \end{gathered}

Thus, from the theorem of similar triangles,

\begin{gathered} \frac{BX}{BA}=\frac{BY}{BC}=\frac{XY}{AC} \\ \frac{9}{15}=\frac{15}{15+y} \end{gathered}

solving for y, we have

\begin{gathered} \frac{9}{15}=\frac{15}{15+y} \\ \text{cross}-\text{multiply} \\ 9(15+y)=15(15) \\ \text{open brackets} \\ 135+9y=225 \\ \text{collect like terms} \\ 9y\text{ = 225}-135 \\ 9y=90 \\ \text{divide both sides by the coefficient of y, which is 9} \\ \text{thus,} \\ \frac{9y}{9}=\frac{90}{9} \\ \Rightarrow y=10 \end{gathered}

thus, YC = 10.

4 0
1 year ago
Darnell starts the month $952.43 in his checking account. Darnell buys an iPhone 7 for $217.49 with tax included, and two kindle
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Answer:

Therefore his new balance=$712.95

Therefore his new balance is  =$ 930.44  

Step-by-step explanation:

Darnell starts the month $ 952.43 in his checking account.

He buys an iPhone 7 for $ 217.49 with tax included and two kindle books that each $7.99.

The price of two books is =$(7.99× 2)= $ 15.98

Total amount that he paid for iPhone 7 and two books is =$(217.49+15.98)

                                                                                              =$233.47

Therefore his new balance = $(952.43- 233.47)

                                            =$712.95

The new iPhone 7 is not as awesome as promised , and Darnell returns it.

He will get the price of iPhone refund.

Therefore his new balance is $(712.95+217.49)

                                                =$ 930.44            

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Answer:

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Step-by-step explanation:

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