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3 years ago

8 x 6 + (12 - 4) = 2

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

x= -1/8

Step-by-step explanation:

8x(6)+12−4=2

Step 1: Simplify both sides of the equation.

8x(6)+12−4=2

Simplify: (Show steps)

48x+8=2

Step 2: Subtract 8 from both sides.

48x+8−8=2−8

48x=−6

Step 3: Divide both sides by 48.

48x

−6

−1

Answer:

x= -1/8

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

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6 0

3 years ago

35 solve the following syste

blondinia [14]

Part A: The solution is $(-0.923,5.692)$

Part B: The point $(3,7)$ is not in the solution set.

Explanation:

Part A: The given inequalities are $3 x+4 y>20$ and $x$

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

$x=3 y-18$ and $3 x+4 y=20$

Let us substitute $x=3 y-18$ in the equation $3 x+4 y=20$ , we get,

$3 (3y-18)+4 y=20$

$9y-54+4y=20$

$13y=74$

$y=5.692$

Substituting $y=5.692$ in $x=3 y-18$ , we get,

$x=3 (5.692)-18$

$=17.076-18$

$x=-0.923$

Thus, the solution set is $(-0.923,5.692)$

Part B: Now, we shall determine whether the point $(3,7)$ is in the solution set.

Let us substitute the point $(3,7)$ in the inequalities $3 x+4 y>20$ and $x$ , we get,

$3 (3)+4 (7)>20$

$9+28>20$

$37>20$

Also, substituting $(3,7)$ in $x$ , we get,

$3$

Since, the point $(3,7)$ does not satisfy one of the inequality $x$ , the solution set does not contain the point $(3,7)$

Thus, the point $(3,7)$ is not in the solution set.

8 0

3 years ago

Maurice earns a commission of 6,048 from the sale of a Lexus, priced at $50,400. What is Maurice's commission rate?

Nutka1998 [239]

Answer:

commission rate of Maurice is 12%

Step-by-step explanation:

Maurice earns commission = $6,048

Lexus priced at = $50,400

Maurice's commission rate =

= $\frac {commision}{rate} \times 100$

= $\frac{6048}{50400} \times 100$

=12 %

hence the commission rate of Maurice is 12%

8 0

3 years ago

Boden's account has a principal of $700 and a simple

pashok25 [27]

Answer:

823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4 = 123.2

Balance = Principle + interest

700 + 123.2 = 823.2

Answer - 823.2

Hope this helps!!!

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3 years ago

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jarptica [38.1K]

Answer:

<h2>Required Answer :-</h2>

Ratio = Width: Height

Ratio = 720 : 540

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Ratio = 72 : 54

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Ratio = 8 : 6

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Ratio = 4 : 3

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3 years ago

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