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Fantom [35]
3 years ago
9

Integral sqrt(4+3x) dx

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0
Let 4 + 3x = u

then 3dx = du
 
or, <span>1/3∫<span>u√</span>du
</span> 
= <span>1/3<span>u^<span>3/2</span></span>/(3/2)
</span> 
= <span>2/9∗(4+3x<span>)^<span>3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span></span></span>
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a parallelogram has one angle that measures 40. what are the measures of the other three angles in the parallelogram?
KonstantinChe [14]
Since one side is 40°, you subtract that from 180.

180° - 40°= 140°.

So therefore your missing side lengths are 140, 40, and 140.

hopefully this helps





6 0
3 years ago
Read 2 more answers
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
Consider this right triangle with given measures what is the unknown length
DIA [1.3K]

Answer:

b = 9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

b² + 12² = 15²

b² + 144 = 225 ( subtract 144 from both sides )

b² = 81 ( take the square root of both sides )

b = \sqrt{81} = 9

4 0
3 years ago
Read 2 more answers
Antar is flying a triangular-shaped kite. It has a height of 4 1/2 feet and a base of 5 3/4 feet. What is the area of Antar's ki
kotykmax [81]
Area\ of\ triangle: \\  \frac{1}{2}bh \\  \\  \frac{1}{2}(4.5\ feet)(5.75\ feet) \\  \\ \boxed{12.9375\ feet^{2}}
8 0
3 years ago
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Find f(3) given that f(3) = -x^4 + 3x^3 + x^2 - 8x - 16.
Hitman42 [59]

Answer: -31

<u>Step-by-step explanation:</u>

f(x) = -x⁴ + 3x³ + x² - 8x - 16

f(3) = -(3)⁴ + 3(3)³ + (3)² - 8(3) - 16

     =  -81  +  81     + 9   -  24  - 16

     = -31

6 0
3 years ago
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