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Bumek [7]
3 years ago
6

30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?

Mathematics
1 answer:
oee [108]3 years ago
6 0

Answer:

131.086

Step-by-step explanation:

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A boat travels N 31° E for 65 miles and then N 59° W for 102 miles. Find the distance of the boat from its starting point.
ra1l [238]

The directions of travel are at right angles to each other, so the Pythagorean theorem can be used to find the straight-line distance to the starting point. That distance (d) satisfies ...

d² = 65² +102²

d = √(4225 +10404) = √14629 ≈ 120.95

The appropriate choice is ...

... c. 121 miles

4 0
3 years ago
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What is the product?
Brut [27]

Answer:

9.33

Step-by-step explanation:

12.44=311/25

(3/4)×(311/25)=(3×311/4×25)=933/100=9.33

3 0
3 years ago
Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
What is the shortest possible perimeter for an arrangement with an area of 15 square feet
lesya692 [45]

Answer:

Step-by-step explanation:

t7lu78o78

6 0
3 years ago
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What is 1556 rounded to the nearest thousand
fgiga [73]
Greetings!

"<span>What is 1556 rounded to the nearest thousand?"...

The thousand place value number is in bold: 1556.

Since the number to the right of the bold number is 5 or greater, we round up.

1556 rounded from the thousand place value is 2000.

Hope this helps.
-Benjamin</span>
6 0
3 years ago
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