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34kurt
3 years ago
8

When Natalie commutes to work, the amount of time it takes her to arrive is normally

Mathematics
1 answer:
NARA [144]3 years ago
7 0

Answer: 95%

Step-by-step explanation:

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what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?
den301095 [7]

"interverted" or "inverted?"

The vertical height of an inverted cone with base diameter 6 cm and slant height of 6 cm can be found using the Pyth. Thm. Draw or imagine a triangle whose height is h and whose base is 3 cm (not 6) and whose hypotenuse is 6 cm.

Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

Then the height of the triangle, as well as of the cone, is h = +√27, or

h = +3√3.

6 0
3 years ago
The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{3-2}{4-2}=\dfrac{1}{2}

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}

We have the equation:

\dfrac{-3}{x-2}=\dfrac{1}{2}        <em>cross multiply</em>

(1)(x-2)=(-3)(2)

x-2=-6           <em>add 2 to both sides</em>

x=-4

<h3>Answer: x = -4.</h3>
7 0
3 years ago
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x – 10? Che
guapka [62]
That would be :
 4x – 10 = x2 – 5x + 10  ( y = 4x - 10 is substitute for y)

 PROOF:        y + 5x = x²<span> + 10
</span>                      (4x - 10) + 5x = x² + 10
                       4x - 10  =  x² -5x + 10
     <span>
    
</span>0 = x2 – 9x + 20<span>  (liked terms are grouped and simplified)

PROOF:     </span> 4x - 10  =  x² -5x + 10
                    4x = x² -5x + 10 + 10
                     0  = x² -5x -4x + 20
                     0  = x² - 9x + 20


Solving:
              x² - 9x + 20 = 0 

              x² - 5x - 4x + 20 = 0

              (x - 5) (x - 4)  = 0

           ⇒ x = 4  (as question says) OR x = 5
     

8 0
3 years ago
Read 2 more answers
Write an equation for the line on the graph below:
wolverine [178]

Answer:

This line is a horizontal line, so it has an equation y=n, where n is a number.

In this case,  because the y intercept is (0,2) the equation is y=2.

Let me  know if this helps!

7 0
3 years ago
area of rectangular field is 726 sq m if the ratio between its length and breadth is 3:2' find the length and breadth.​
ale4655 [162]

Answer:

length = 3x = 3 × 11 = 33 m

breadth = 2x = 2 × 11 = 22 m

Step-by-step explanation:

here's the solution :-

let's take the ratio constants be x

so, length = 3x

breadth = 2x

And, we know that area of rectangle =

length × breadth

So,

=》

3x \times 2x = 726

=》

6 {x}^{2}  = 726

=》

{x}^{2}  =  \frac{726}{6}

=》

{x}^{2}  = 121

=》

x =  \sqrt{121}

=》

x = 11

so, length = 3x = 3 × 11 = 33 m

breadth = 2x = 2 × 11 = 22 m

4 0
3 years ago
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