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Shtirlitz [24]
2 years ago
10

A water well drilling rig has dug to a height of –60 feet after one full day of continuous use.

Mathematics
1 answer:
Anika [276]2 years ago
8 0
60/24*15 just like one day have 24 hours
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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
Expand and Simplify <br> 4( b+3) + 2 (b + 5)
Ipatiy [6.2K]

Answer:

4( b+3) + 2 (b + 5)

4b+12+2b+10

6b+22

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Draw or write to explain why 1 hundred 4 tens and 14 tens name the same amount
mihalych1998 [28]
1 hundred can also be 10 tens so when you add 10 tens and 4 tens you 14 tens and that is the same thing as 14 tens
7 0
3 years ago
Read 2 more answers
How do I do this?<br> 4/5x&gt;14
Likurg_2 [28]

Well, first, you need to know what you want to 'do' to it.

You want to find the description of what 'x' has to be in order to
make that inequality a true statement.  Here's one way to do it:

                                              4/5 x > 14

Multiply each side by  5 :     4    x  >  70

Divide each side by  4 :             x  >  17.5 .

That's it.  As long as 'x' is more than 17.5 ,
the original inequality is true.
3 0
3 years ago
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
Nimfa-mama [501]

Answer:

1/2

Step-by-step explanation:

As a decimal it is 0.5 which is exactly between 0 and 1

Hope this helps you :) !

5 0
3 years ago
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