Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance between the two ships.Draw a diagram ando solve for the missing measure. When necessary round to the nearest tenth.

Answers

Answer 1

Answer: The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the hypotenuse.
Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.

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7m+8=71 how do I answer this question it's a two-step equation

Work out) 6-3x-2--10

Answers

SO
   6-3X-2 -(- 10 )
   6-3X-2 +10
   6-3X +8
   6+8-3X
   14+(-3X )
     14-3X

♡Okay so lets let's simplify this Step-By-Step!♡
♡Question asked:
6−3x−2−(−10)
=6+−3x+−2+10

♡Now you need to Combine Like Terms:
=6+−3x+−2+10
=(−3x)+(6+−2+10)

♡Now that you have Combined Like Terms your answer shall be:
=−3x+14

♡I hope this helps!♡

Write 10 feet and 4 yards as a fraction in simplest form

Answers

⅚. You first find out how many feet are in a yard (three). Then you write the fraction- 10/12. Then you reduce. The number two can evenly go into both of those numbers. Ten divided by two is five. Twelve divided by two is six. So, your final answer is ⅚.

If the vertex angle of an isosceles triangle measures 38 degrees what is the measure of one of the base angles

Answers

The measure of one of the base angles is 71°

Step-by-step explanation:

In any isosceles triangle:

Two sides are equal in length and the angle between these sides is called the vertex angle
The other two angles are equal in measure and they are called the base angles

∵ The triangle is isosceles

∵ The measure of its vertex angle is 38°

- The sum of the measures of the interior angles of a triangle is 180°°

∴ The sum of measures of the base angles = 180 - 38 = 142°

∵ The two base angles are equal in measures

∴ The measure of each base angle = 142 ÷ 2

∴ The measure of each base angle = 71°

The measure of one of the base angles is 71°

Learn more:

You can learn more about the lengths of the sides of a triangle in brainly.com/question/12985572

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2(7 + 8n) = 4n - 10

Answers

Use Photomath.................

Answer:

n= -2

Step-by-step explanation:

Hope this help

What is the fraction for 125%

Answers

1 1/4 is the correct mixed number.

1 and 25/100

or 125/100

just convert to fraction and make a mixed number

A music school charges a registration fee in addition to a fee per lesson. Music lessons last 0.5 hour. The equation y = 40x + 30 represents the total cost y of x lessons. Find and interpret the slope and y-intercept of the line that represents this situation. Then find four points on the line.

Answers

y=mx+b M is the slope.Therefore, 40 is slope.

To find Y intercept, you substitute X for 0
So it becomes, y=40(0)+30
Solve it, y=0+30
y=30
If Y=30 x=0
Y intercept is (0,30)
x y
To find four points, you use the slope.

Final answer:

The slope of the line in the provided equation represents the cost of each music lesson, while the y-intercept represents the registration fee. These two components are used to calculate the total cost of taking 'x' number of music lessons. Examples of four points on this line include: (0,30), (1,70), (2,110) and (3,150).

Explanation:

In the equation y = 40x + 30, 'y' represents the total cost of music lessons, 'x' represents the number of lessons, 40 is the slope, and 30 is the y-intercept.

The slope, 40, means that each music lesson costs $40. This is a constant rate and doesn't change no matter how many lessons a student takes.

The y-intercept, 30, represents the registration fee that is charged in addition to the cost per lesson. This is a one-time fee that's added to the total cost of the lessons.

For example, four points on the line could be (0,30) when no classes are taken, (1,70) for one class, (2,110) for two classes, and (3,150) for three classes.

Learn more about Slope and Y-Intercept here:

brainly.com/question/19824331

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Two sides of a right triangle are 8” and 12”.A. Find the the area of the triangle if 8 and 12 are legs.B. Find the area of the triangle if 8 and 12 are a leg and hypotenuse.

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