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Contact [7]
2 years ago
15

A. x = 20, mZH = 62°, mZI = 89°, mZJ = 69°

Mathematics
1 answer:
Delicious77 [7]2 years ago
6 0

Answer:

guy7p9;y

Step-by-step explanation:

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Which equation is equivalent to log (x+5) = 27
Tresset [83]

Answer:

(22+5)=27 or  (x+y)=27

Step-by-step explanation:

6 0
3 years ago
Nine and one half less than four and one half times a number is greater than 62,5. Which of the following represents
morpeh [17]

Answer: (16,O0) That is 16 to positive infinity

Step-by-step explanation:

4.5x - 9.5 > 62.5

4.5x > 62,5 + 9.5

4.5x > 72

x > 72/ 4.5

x> 16

So all real numbers greater than 16 is the solution set.

(16,O0)

I wish I had the infinity symbol on this keyboard!

7 0
3 years ago
Read 2 more answers
The function (t) = 300,000t represents the distance (in kilometers) that light travels in t seconds
Anika [276]

Answer:

The answer is: 4,500,000 kilometers or in scientific notation: 4.5 x 10^6 kilometers.

Step-by-step explanation:

Multiply to get the answer:

300,000 * 15 =

4,500,000 km

In scientific notation: 4.5 x 10^6

4 0
3 years ago
Gcf of 56f^3 g^2 and 70fg^3
yulyashka [42]
<span>56f^3 g^2 = 7fg^2(8f^2)
and
70fg^3 = 7fg^2(10g)

</span>Gcf of 56f^3 g^2 and 70fg^3 = 7fg^2
7 0
3 years ago
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