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2 years ago

List of sides in order from shortest to longest

Mathematics

1 answer:

kirill [66]2 years ago

6 0

Answer:

x = 12

m∠A = 104º

m∠B = 32º

m∠C = 44º

shortest side = B

middle side = C

longest side = A

Step-by-step explanation:

Recall that all angles in a triangle add up to 180º. Also recall that the side opposite largest angle is the longest side, and vice versa for the side opposite the smallest angle.

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

$f(x)=2x^3-x^2+x-2$

Factor Theorem

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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Cos/1+Sin = 1-Sin/Cos

ValentinkaMS [17]

Answer:

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Step-by-step explanation:

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2 years ago

46,054,202 round the underlined number the 5 isunderlined

Scrat [10]

if 5 is to be rounded off, then the rule is, if the next significant digit is equal or greater than 5 it adds up, other wise not..
In this case the next significant digit is 0 which is less than 5 so it will not be added up.

46,054,202 ≈ 46,000,000 Answer

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3 years ago

Please solve for M<QTR

Andru [333]

Answer:

m∠QTR = 98°

Step-by-step explanation:

From the picture attached,

Radii of the circle are TQ and TR measuring equal lengths.

Therefore, ΔTQR is a isosceles triangle.

Opposite angles of the equal sides will be equal in measure.

m∠RQT = m∠TRQ = 41°

By angle sum theorem,

m∠RQT + m∠TRQ + m∠QTR = 180°

41° + 41° + m∠QTR = 180°

m∠QTR = 180° - 82°

= 98°

Therefore, m∠QTR = 98°

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2 years ago

The distance y in miles traveled by a car is 20 times the number of gallons x of gasoline used by the car. Write and graph a fun

Leviafan [203]

Answer:

y=20x

Step-by-step explanation:

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2 years ago

List of sides in order from shortest to longest ￼

List of sides in order from shortest to longest