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iren [92.7K]
3 years ago
10

In the triangle below, what is the length of the side opposite the 30 degree angle

Mathematics
1 answer:
victus00 [196]3 years ago
6 0

Answer:

The correct answer is option A. √3

Step-by-step explanation:

From the figure we can see that aright angled triangle.

Points to remember

If a right angled triangle with angle 30°, 60° and 90° then the sides are in the ratio, 1 : √3 : 2

<u>To find the length of side opposite to 30°</u>

Let 'x' be the side opposite to the 30°, the we can write,

x : 3 : Hypotenuse = 1 : √3 : 2

Therefore x = 3/√3 = √3

The length of side opposite to the 30° is √3

The correct answer is option A. √3

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0=-2y+10-6x<br> 14-22y=18x
Inessa05 [86]

Answer:

x=2,y=−1

Step-by-step explanation:

Solve for y in the first equation.

y=−9x/11+7/11

0=−2y+10−6x

Replace all occurrences of y with −9x/11+7/11 in each equation.

0=−48(x−2)11

y=−9x11+711

Solve for x in the first equation.

x=2

y=−9x/11+7/11

Replace all occurrences of x with 2 in each equation.

y=−1

x=2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2,−1)

The result can be shown in multiple forms.

Point Form:

(2,−1)

Equation Form:

x=2,y=−1

5 0
2 years ago
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y = -x + 21 y = -2
Kamila [148]
-x+21=-2x+30
-x+2x=-21+30
x=9
-(9)+21=12


y=12
4 0
3 years ago
Help please
geniusboy [140]
The length of a rectangle is 4 cm less than twice the width. express as an integer the maximum width of the rectangle when the perimeter is less than 78 cm.
5 0
3 years ago
Keisha went into a park at 1:30 pm she hiked for 1 hour 35 minutes. Then she went to the picnic area for 45 minutes and left the
nata0808 [166]

Answer:

3:50pm

Time Keisha went to the park- 1:30pm

Time spent for hiking- 1hour 35 minutes

Time spent at the picnic area- 45 minutes

1: 30pm

<u>+1. 35mi</u>n

<u> 2: 65pm</u>

But 60 minutes is 1 hour so the 65 will be changed to 1 hour 5 minutes making it

3: 05pm

3: 05pm

<u>+0: 45min</u>

<u> 3: 50pm</u>

Hence the time Keisha left the park was 3:50pm

3 0
3 years ago
Find the perimeter of the figure
Anna11 [10]
The perimeter is 64 yards.
6 0
3 years ago
Read 2 more answers
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