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3 years ago

X^3+6x^2-17x+2-x^3-x^2-11x+36

Mathematics

1 answer:

Rudiy273 years ago

4 0

X^3+6x^2-17x+2-x^3-x^2-11x+36 = 5x^2 - 28x + 38

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Find the Missing demension of each triangle described:

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3 years ago

Can someone help.

r-ruslan [8.4K]

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

Sine Rule (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

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2 years ago

1x -8 < 2x + 1 What is the largest integer value that makes this inequality true

professor190 [17]

Answer:

The largest integer value that makes the inequality true is 9.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

1x - 8 < 2x + 1

Step 2: Solve for x

Simplify: x - 8 < 2x + 1
[Subtraction Property of Equality] Subtract x on both sides: -8 < x + 1
[Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
Rewrite: x > -8

∴ we see that any number x greater than -8 would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.

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Topic: Algebra I

7 0

1 year ago