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3 years ago

Find the missing angel by using an equation

Mathematics

1 answer:

solmaris [256]3 years ago

6 0

Lets x = missing angle

x = 180 - (60+80)
x = 180 - 140
x = 40

answer
40

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Which ordered pair is in the solution set of the system of inequalities

gtnhenbr [62]

Answer:

x < 1 and y < -2

Step-by-step explanation:

7 0

3 years ago

Simplify algebraic equation x^2-4/x^2+2x

hram777 [196]

Answer:

Simplification of algebric expression is $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Step-by-step explanation:

Simplify any algebric expression means to write an equivalent expression in which all similar terms combined and remove all symbols such as brackets.

The given algebraic equation is $x^{2} -\frac{4}{x^{2} } +2x$

now for simplifying it

First of all take L.C.M of $x^{2}$

= $\frac{x^{2} (x^{2}) -4 + 2x(x^{2} )}{x^{2} }$

We get $\frac{x^{2} -4+2x^{3}}{x^{2} }$

Further we can write it as $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Simplification of algebric expression is $\frac{x^{2} - 2x^{3}-4 }{x^{2} }$

Learn more about Simplification of algebric expression here -https://brainly.ph/question/4896810

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7 0

3 years ago

What is the total surface area of this prism?

Basile [38]

Answer:

Step-by-step explanation:

let us calculate area of pentagon.

it consists of 5 isosceles triangles with base=5 cm

apothem h=3.6 cm

area of pentagon=5×1/2×5×3.6≈45 cm

area of 2 pentagons (top and bottom)=2×45=90 cm²

lateral area of 6 rectangles=2(10×5+10×5+10×5)=2(50+50+50)=300 cm²

Total surface area=90+300=390 cm²

7 0

3 years ago

Help me with this math problem

kakasveta [241]

Answer:

tan A = opp

adj

tan G = EF

from Pythagoras theorem,

EF² + 3² = (√24)²

EF² + 9 = 24

EF² = 15

EF = √15

then,

tan G = √15

therefore tan G = √15/3

6 0

3 years ago

Read 2 more answers

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago