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3 years ago

Angle DCA is 120°. What percent of the circle's area does this section represent?

1 answer:

4 0

A circle is 360

so we're going to set up a proportion

120 x
------ = ------
360 100

then cross multiply and divide

120 times 100=12000/360=33.3333333

so the answer is C. 33

I hope I've helped!

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Identify the inequalities A, B, and C for which the given ordered pair is a solution: (0,0)

professor190 [17]

Answer:

Options (A) and (C)

Step-by-step explanation:

A). The given inequality is,

x + y ≤ 2

Solution area of the inequality is the shaded area below the line.

Since (0, 0) lies in the shaded region, ordered pair will be a solution of this inequality.

B). For the inequality y ≤ $\frac{3}{2}x-1$

Since, (0, 0) doesn't lie in the shaded region of this inequality, ordered pair will not be a solution of the inequality.

C). y > $-\frac{1}{3}x-2$

In this graph (0, 0) lies in the shaded region of the inequality therefore, it will be a solution of the given inequality.

Therefore, Options (A) and (C) are the correct options.

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3 years ago

Solve the system of equations.

guajiro [1.7K]

Answer:

Option b. (x = 3, y = 20, z = -14)

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]$

∴A = $\left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1$

Ax = $\left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3$

Ay = $\left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\$

Az = $\left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14$

∴ x = Ax/A = -3/-1 = 3

y = Ay/A = -20/-1 = 20

z = Az/A = 14/-1 = -14

So, the answer is option b. (x = 3, y = 20, z = -14)

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3 years ago

What is the greatest common factor of 3 and 27?

Drupady [299]

Answer:

Step-by-step explanation:

because 3 is the only number that goes into both 3 and 27

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A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.

eimsori [14]

Answer: 1.4 min per min

Step-by-step explanation: sorry if wrong

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2 years ago

True or False: The FOIL method is an example of the distributive property.

vova2212 [387]

Answer:

True

Step-by-step explanation:

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