You are ordering shirts for a club at your school. The function f(x) = 8x + 12 represents the cost of

Mathematics

1 answer:

Sonbull [250]2 years ago

7 0

It would cost 2.50$ for each shirt.

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Solve the Law of Cosine: c^2 = a^2+ b^2 - 2abcosC for cos C.

Andrew [12]

Answer:

The Law of Cosine : cos C = $\frac{a^{2}+ b^{2}-c^{2}}{2ab}$

Step-by-step explanation:

See the figure to understand the proof :

Let A Triangle ABC with sides a,b,c,

Draw a perpendicular on base AC of height H meet at point D

Divide base length b as AD = x -b and CD = x

By Pythagoras Theorem

In Triangle BDC And In Triangle BDA

a² = h² + x² ( 1 ) c² = h² + (x-b)²

c² = h² + x² + b² - 2xb ...(. 2)

From above eq 1 and 2

c² = (a² - x²) + x² + b² - 2xb

or, c² = a² + b² - 2xb .....(3)

Again in ΔBDC

cos C = $\frac{BD}{BC}$

Or, cos C = $\frac{x}{a}$

∴ x= a cos C

Now put ht value of x in eq 3

I.e, c² = a² + b² - 2ab cos C

Hence , cos C = $\frac{a^{2}+ b^{2}-c^{2}}{2ab}$ Proved Answer

6 0

3 years ago

Does anyone know the answer

AlexFokin [52]

1/8, 2/16, Equivalent fractions can be found by multiplying or dividing both the numerator and the denominator by the same number.

4 0

3 years ago

Read 2 more answers

Question 12 plz help

harkovskaia [24]

Answer:

See the attachment for the appropriate choice.

Step-by-step explanation:

Both equations are in slope-intercept form. Both have a y-intercept of -2, so only a graph where the lines cross at (x, y) = (0, -2) is a viable choice.

In both cases, the inequality requires that values of y be "less than (or equal to)" those described by the line. Hence, the shading will be below both lines.