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storchak [24]
3 years ago
5

25 POINTS WILL MARK RIGHT ANSWER AS BRAINLIEST! What is the value of x to the nearest tenth?

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
7 0

Answer:

The value of x is 2.5 to the nearest tenth

Step-by-step explanation:

* Lets revise the trigonometry functions

- In any right angle triangle:

# The side opposite to the right angle is called the hypotenuse

# The other two sides are called the legs of the right angle

* If the name of the triangle is ABC, where B is the right angle

∴ The hypotenuse is AC

∴ AB and BC are the legs of the right angle

- ∠A and ∠C are two acute angles

- For angle A

# sin(A) = opposite/hypotenuse

∵ The opposite to ∠A is BC

∵ The hypotenuse is AC

∴ sin(A) = BC/AC

# cos(A) = adjacent/hypotenuse

∵ The adjacent to ∠A is AB

∵ The hypotenuse is AC

∴ cos(A) = AB/AC  

# tan(A) = opposite/adjacent

∵ The opposite to ∠A is BC

∵ The adjacent to ∠A is AB

∴ tan(A) = BC/AB

* Now lets solve the problem

∵ x is opposite to the angle of measure 23°

∵ 6 is adjacent to the angle of measure 23°

∴ tan(23°) = x/6 ⇒ × 6 to both sides

∴ x = 6 × tan(23°) = 2.5

* The value of x is 2.5 to the nearest tenth

olganol [36]3 years ago
4 0

Answer: x=2.5

Step-by-step explanation:

You need to remember the identity:

tan\alpha=\frac{opposite}{adjacent}

You can identify in the figure that for the angle 67°:

\alpha=67\°\\opposite=6\\adjacent=x

Then you need to substitute these values into  tan\alpha=\frac{opposite}{adjacent} and solve for "x":

tan(67\°)=\frac{6}{x}\\\\xtan(67\°)=6\\\\x=\frac{6}{tan(67\°)}\\\\x=2.5

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A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles in 3/4 h
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It’s because 2/3 of 30 miles in 3/4 hours is the same as 20 miles in 1/2 hour.

Proof:

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Brainliest my answer if this helped you out?


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Step-by-step explanation:

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3 years ago
A rectangular field is 5x meters long and 2x m wide. if its perimeter is 140cm what is its area?​
Yakvenalex [24]

Answer:

1000 cm²

Step-by-step explanation:

perimeter = 2 * length + 2 * width

2 * 5x + 2 * 2x = 140

10x + 4x = 140

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3 0
3 years ago
Principal, $3000; Annual interest rate, 5.4%; time, 5 years
crimeas [40]

Answer:

SI = $810

Amount = $3,810

Step-by-step explanation:

Given that ,

  • P = $ 3,000
  • R = 5.4%
  • T = 5 yrs .

We can use the formula of SI to find the interest as ,

=> SI = P × R × T / 100

=> SI = $ 3000 × 5.4 × 5 / 100

=> SI = $ 30 × 5.4 × 5

=> SI = $ 810 .

  • If you want to know total amount , then ,

=> Amount = SI + P

=> Amount = $ 810 + $ 3,000

=> Amount = $ 3,810

<h3><u>Hence </u><u>the</u><u> </u><u>Amount</u><u> </u><u>is </u><u>$</u><u>3</u><u>,</u><u>8</u><u>1</u><u>0</u><u> </u><u>and </u><u>the </u><u>SI </u><u>is </u><u>$</u><u>8</u><u>1</u><u>0</u><u> </u><u>.</u></h3>
3 0
3 years ago
Read 2 more answers
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