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Komok [63]
2 years ago
13

Question 17

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

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...................Help Please....
Contact [7]

Answer:

  2

Step-by-step explanation:

The slope is the ratio of the vertical difference between two points to the horizontal difference. This ratio is often referred to as "rise over run."

From the point (-2, -1) to the point (2, 7), the rise is 7-(-1) = 8, and the run is 2-(-2) = 4. The ratio of these numbers is ...

  slope = rise/run = 8/4

  slope = 2

_____

<em>Check</em>

The graph rises 2 units for a run of 1 unit, confirming this calculation.

7 0
3 years ago
Read 2 more answers
Use calculus to find the area of the triangle with the vertices (0, 5), (2, -2), and (5, 1).
guajiro [1.7K]

The area of the triangle with the vertices (0, 5), (2, -2), and (5, 1) by using the calculus is  21 square unit.

We need to find the equation among all possible pairs and then integrate the equations from one co-ordinate to another co-ordinate

Equation of line passing through (0,5) and (2,-2) is

y-5 = [(-2-5)/(2-0)](x-0)

=>y-5 = (-7) /2x

=>y= (-7/2x)+5 -------(eq1)

Equation of line passing through (0,5) and (5,1) is

y-5 = [(1-5) / (5-0)](x-0)

=>y-5 = (-4/5)x

=>y = (-4/5)x+5-------(eq2)

Equation of line passing from (2,-2) and (5,1) is

y-(-2) = [[1 - (-2)] / (5-2)] / (x-2)

=>y+2=(3/3)(x-2)

=>y=x-4--------(eq3)

Now, we use definite integration to find the area between the different equation of line.

So, area enclosed between the equations is given by the

area =\int\limits^5_2[(-4/5)x+5 - (-7/2)x + 5)dx  + \int\limits^5_1[(-4/5)x+5 -(x-4)]dx

=>area=\int\limits^5_2(7/2-4/5)x dx + \int\limits^5_1((-9/5)x+9)dx

Using properties of integration,\int\limits x\, dx=x^{2}/2

=>area=\int\limits^5_2(27/10)x dx + \int\limits^5_1(-9/5)x+9)dx

=>area=([27/10)×[5² - 2²])/2 + [ (-9/5)×(5²-1²) ]/2 +9×(5-1)

=>area=(27/20)×(25-4) + (-9/5)×24+9×4

=>area = (27×21)/20 + (-216)/5+ 36

=>area=(567/20) - (216/5) + 36

=>area= [(567-261×4)+(36×20)]/20

=>area=[(567-864)+720]/20

=>area=423/20

=>area=21 square unit.

Hence, area of triangle is 21 square unit.

To know more about area of triangle, visit here:

brainly.com/question/19305981

#SPJ4

4 0
1 year ago
Compared to women in the North, women in the South during the Civil War often
Novay_Z [31]

Answer:D

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A cylindrical water tank has a diameter of 9 feet and a height of 16 feet. Each can of paint covers 50 square feet. What is the
iVinArrow [24]

Answer:

12 cans

Step-by-step explanation:

The area of the outside of the tank:

radio = half diameter = 4.5 ft.

base: A_{b} =\pi r^{2} =\pi (4.5)^{2} =20.25\pi

Top: = base =20.25\pi

cylinder: 2\pi rh=2\pi (4.5)(16)=144\pi

Total area to paint: 144\pi +2(20.25\pi) =184.5\pi =579.6sq.ft.

Number of cans of paint:

c=\frac{579.6}{50} =11.59=12

Hope this helps

7 0
2 years ago
Which of the following numbers is different
nadezda [96]

Answer:

(D) 1/4%

hope that helps uh..☺

5 0
3 years ago
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