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3 years ago

1 point

Mathematics

2 answers:

natulia [17]3 years ago

8 0

Answer:

Angle 3 = 27

Step-by-step explanation:

Because the interior angles of a triangle always add up to 180 degrees, you can do 180 - 82 - 71 = 27 degrees for the third angle.

Kamila [148]3 years ago

3 0

Answer:

angle 3 = 27 degrees

Step-by-step explanation:

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What is 7/10 times 3

JulsSmile [24]

The answer I came up with was 2.1

3 0

3 years ago

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When I am trying to find the whole of the percent and divide it what do I do with the remainder? Like do I put it together with

Sedaia [141]

Answer:

a. 9.48

b. 195.3

Step-by-step explanation:

convert the corresponding per cent into a decimal (you can move the decimal place to the left by 2 or divide by 100) then just multiply it with the "of" number

6 0

3 years ago

If the area of the triangle is 48 square units, what is the total area of sections 1 and 2?

MariettaO [177]

Answer:

48 square unit

Step-by-step explanation:

For a rectangle, area is given by

A=bh

Where b is base and h is height as shown in the attached diagram

For a triangle, area is given by

A∆=½bh

Given that ½bh=48

Then bh=2*48=96 square units

The overall area is 96 square units.

The area for 1&2 combined will be given by deducting the area of triangle from the overall area

Area is 96-48=48 square units

6 0

3 years ago

Integration using part formula<br> <img src="https://tex.z-dn.net/?f=%5Cint%5Climits%20%7Bx%5Enlogx%7D%20%5C%2C%20dx" id="TexFor

liq [111]

Answer:

Integration of I= $\int {x^{n}logx \, dx$ = $[\frac{logx}{n+1} x^{(n+1)}]-[\frac{1}{(n+1)^{2}}x^{(n+1)}]$

Step-by-step explanation:

Given integral is I= $\int {x^{n}logx \, dx$

Take logx=t

$x=e^{t}$

$x^{n}=e^{nt}$

$\frac{1}{x} dx=dt$

$dx=xdt$

$dx=e^{t}dt$

I= $\int (e^{nt})(t)(e^{t})\, dt$

I= $\int (e^{(n+1)t})(t)\, dt$

Using integration by part,

$I= (t)\int [e^{(n+1)t}]\, dt-\int[\frac{d}{dt}{t}\times\int (e^{(n+1)t})]\\\\I= (t) [\frac{1}{n+1}e^{(n+1)t}]-\int[1\times\frac{1}{n+1}e^{(n+1)t}]\,dt\\\\I=[\frac{t}{n+1}e^{(n+1)t}]-[\frac{1}{(n+1)^{2}}e^{(n+1)t}]$

Writing in terms of x

I= $[\frac{t}{n+1}e^{(n+1)t}]-[\frac{1}{(n+1)^{2}}e^{(n+1)t}]$

I= $[\frac{logx}{n+1}e^{(n+1)logx}]-[\frac{1}{(n+1)^{2}}e^{(n+1)logx}]$

I= $[\frac{logx}{n+1}e^{logx^{(n+1)}}]-[\frac{1}{(n+1)^{2}}e^{logx^{(n+1)}}]$

I= $[\frac{logx}{n+1} x^{(n+1)}]-[\frac{1}{(n+1)^{2}}x^{(n+1)}]$

Thus,

Integration of I= $\int {x^{n}logx \, dx$ = $[\frac{logx}{n+1} x^{(n+1)}]-[\frac{1}{(n+1)^{2}}x^{(n+1)}]$

3 0

3 years ago

Sarah has 2 trees in her backyard. The elm tree’s current height is 38 inches. It grows 4 inches each year. The oak tree is 45.5

Viktor [21]

38 + 4 = 42 (1 year); 42 + 4 = 46 (2 years); 46 + 4 = 50 (3 years); 50 + 4 = 54 (4 years); 54 + 4 = 58 (5 years)
45.5 + 2.5 = 48 (1 year); 48 + 2.5 = 50.5 (2 years); 50.5 + 2.5 = 53 (3 years); 53 + 2.5 = 55.5 (4 years); 55.5 + 2.5 = 58 (5 years)
It will take 5 years before the trees are the same height, 58 inches.

5 0

3 years ago