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sergij07 [2.7K]
3 years ago
8

The cost of a pair of boots at a certain store is 145% of the cost of a pair of sneakers. The pair of sneakers costs $21.

Mathematics
2 answers:
Vilka [71]3 years ago
5 0

Answer:

so $21+45%=30.45. meaning that pair of boots cost 30.45 so two pairs of boots would cost $60.90

aliina [53]3 years ago
5 0

Answer:

$60.90

Step-by-step explanation:

Took test and got it right.

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Evaluate the expression under the given conditions. tan(2); cos() = 5 13 , in quadrant i
Nataliya [291]

The solution to given expression tan(2θ) is 22.615°

For given question,

We have been given an expression tan(2θ)

Given that cos(θ) = 5/13, and θ is in quadrant 1.

We know that the trigonometric identity

sin²θ + cos²θ = 1

⇒ cos²θ = (5/13)²

⇒ sin²θ = 1 - 25/169

⇒ sin²θ = 169 - (25/169)

⇒ sin²θ = 144/169

⇒ sin(θ) = 12/13

We know that the identity cos(2x) = cos²x - sin²x

⇒ cos(2θ) = cos²θ - sin²θ

⇒ cos(2θ) = 25/169 - 144/169

⇒ cos(2θ) = -119/169

And sin(2x) = 2sin(x)cos(x)

⇒ sin(2θ) = 2sin(θ)cos(θ)

⇒ sin(2θ) = 2 × 12/13 × 5/13

⇒ sin(2θ) = 120/169

We know that, tan(x) = sin(x)/cos(x)

⇒ tan(2θ) = sin(2θ)/cos(2θ)

⇒ tan(2θ) = (120/169) / (-119/169)

⇒ tan(2θ) = 120 / (-119)

⇒ tan(2θ) = -1.008

Since θ is in quadrant 1, tan(2θ) = 1.008

⇒ 2θ = arctan(1.008)

⇒ 2θ = 45.23

⇒ θ = 22.615°

Therefore, the solution to given expression tan(2θ) is 22.615°

Learn more about the expression here:

brainly.com/question/14961928

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7 0
2 years ago
PLEASE ANSWER FOR 30 POINTS
Alik [6]

Answer:

One Solution

Step-by-step explanation:

x + 3y = 3      

x - y = -3        

4y = 6           Subtract to solve by elimination.

y = \frac{3}{2}              Divide by 4.

x - \frac{3}{2}  = -3      Substitute \frac{3}{2} for y in the original equation.

x = -\frac{3}{2}            Add \frac{3}{2}.

6 0
3 years ago
In the following question solve for X please help!
Mariulka [41]

Answer:

<u>x = 6</u>

Step-by-step explanation:

Taking the sides in proportion :

  • EB/DC = AB/AC
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  • 1/3 = -3 + 2x/27
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8 0
2 years ago
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Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

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1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

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Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

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On comapring both equations,

m = \frac{1}{3}

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Consider any two values from the table we have;

(0, 10) and (2, 10.4)

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m = \frac{y_2-y_1}{x_2-x_1}

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Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

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\text{Slope of Ethan} < \text{Slope of Marty}

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4 0
4 years ago
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Aaron can run 4 miles in 30 minutes. How long does it take him to run one mile
stealth61 [152]

You first divide 30 by 4 to see how long it takes him to run one mile. Then you get 30/4 which simplified is 15/2 minutes

6 0
3 years ago
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