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Lilit [14]
3 years ago
11

A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles.

Mathematics
1 answer:
Sedbober [7]3 years ago
5 0
1) Draw a right triangle with these measures:

angle with the horizontal: 6 degress
horizontal segment: 5
height: x

2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>

3) Solve for

x = 5tan(6°) = 0.53 miles

Answer: 0.53 miles
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svetoff [14.1K]

<u>16/27 is </u><u>the value of </u><u>quantity</u><u>.</u>

What is a linear equation in math?

  • A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
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\frac{3^{2} * 3^{-5}  }{4^{2} } = \frac{3^{-3} }{4^{-2} }

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6 0
2 years ago
4x + y = 7<br>3x + 2y = 9​
Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2><em><u>Substitution Method</u></em><em><u>:</u></em></h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of <em><u>x = 7 - y/4</u></em> in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

<em><u>y = 3</u></em>

Step 4:

Substitute the value of <em><u>y = 3</u></em> in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

<em><u>x = 1</u></em>

<h2><em><u>Verification</u></em><em><u>:</u></em><em><u> </u></em></h2>

4x + y = 7 i.e., <em>4(1) + (3) = 7</em>

3x + 2y = 9 i.e., <em><u>3(1) + 2(3) = 9</u></em>

3 0
3 years ago
Simplify the expression to a + bi form:<br> (11+8i)-(-5+4i)<br><br> PLEASE HELP
WARRIOR [948]
If I’m correct it should be 6+4i good luck
4 0
3 years ago
Read 2 more answers
5 x 20 x a³ = 72900 what does a equal
Basile [38]

Answer:

9

Step-by-step explanation:

a^3=72900/100

a=(729)^1/3

a=9

3 0
3 years ago
At the green house of salad you get a $1 coupons for every 3 salads you buy.What is the least number of salad you could buy to g
IrinaK [193]

If one coupons costs you 3 salads, 10 salads costs you 10 × 3 = 30 salads.

To get $10 in coupons, the least amount of salads you would need to buy is 30.

5 0
4 years ago
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