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vlada-n [284]
2 years ago
14

Question 23 of 25

Mathematics
2 answers:
Crank2 years ago
5 0

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos37° = \frac{adjacent}{hypotenuse} = \frac{x}{15} ( multiply both sides by 15 )

15 × cos37° = x , then

x ≈ 12 ( to the nearest integer )

AlladinOne [14]2 years ago
4 0

Answer:

x rounded to the nearest integer would be 12.

Step-by-step explanation:

In order to calculate the length of x, you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of x. In this case, \frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x} ⇒ \frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})} ⇒ x=\frac{15*sin(53^{o})}{sin(90^{o})} ⇒ x=15*sin(53^{o} ) ⇒ x ≈ 12. So side x rounded to the nearest integer would be 12.

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What is the equivalent fraction for 4\7
Bingel [31]
4/7 = 8/14 = 12/21 = 16/28, etc
7 0
3 years ago
Read 2 more answers
A regular hexagon has sides of 3 feet. What is the area of the hexagon?
frosja888 [35]

Answer:

13.5\sqrt{3}\:\text{ft}^{2}

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is \frac{3\sqrt{3} }{2} a^{2}

Here, the side is 3 feet

So, area of the regular hexagon

=\frac{3\sqrt{3} }{2} \times3^{2}

=\frac{3\sqrt{3} }{2} \times9

=\frac{27\sqrt{3} }{2}

=13.5\sqrt{3}\:\text{ft}^{2}

Hence, area of the regular hexagon is 13.5\sqrt{3}\:\text{ft}^{2}

6 0
3 years ago
Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
6 0
3 years ago
Plz answer this and explain how
Dahasolnce [82]

Answer:

Option H, π/3 and 2π/3

Step-by-step explanation:

sin x = sqrt(3) / 2

<em>It happens at 60 degrees and 120 degrees.  In radians, it is π/3 and 2π/3</em>

<em />

Answer:  Option H, π/3 and 2π/3

8 0
3 years ago
Pozele sunt atasate va rog urgeeeeent
Nookie1986 [14]

Answer:

it's not English, sorry I can't help.

3 0
3 years ago
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