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Illusion [34]
3 years ago
7

Tyler made a scale drawing of a 24 ft long boat. In his drawing, the boat was 6 inches. The scale that Tyler used for his drawin

g was inch to feet.
Mathematics
1 answer:
defon3 years ago
3 0

Answer:

In Tyler scale, 1 inch equals 4 ft.

Step-by-step explanation:

Giving the following information:

Tyler made a scale drawing of a 24 ft longboat. In his drawing, the boat was 6 inches.

<u>We know that 1 ft is 12 inches. Therefore, 24 ft:</u>

24*12= 288 inches

<u>Now, we have to determine the scale that Tyler used.</u>

<u></u>

1 Tyler inch= 288/6= 48 inches

In ft:

1 Tyler inch= 48/12= 4 ft

In Tyler scale, 1 inch equals 4 ft.

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A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​
mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

7 0
2 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
3 years ago
In the contiguous United States, the ratio of states that border an ocean to states that do not border an ocean is 7:9. How many
Luda [366]

Answer:

21

Step-by-step explanation:

The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.

3 0
3 years ago
Read 2 more answers
Answer it quickly pls you can have all my points
Dominik [7]

Answer:

4. 55 (or is that a 56 its a low res image srry)

5. PWA is vertical, nothing is corresponding

6. 8y

7. wap is vertical 9x-2 is corresponding

8. wap is supplementary uyi is corresponding

9. tad

10. rps

5 0
1 year ago
Which expression has value of 15 when = 12?
frosja888 [35]

Answer:

I think its 3p not sure but u can try that

3 0
3 years ago
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