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Flauer [41]
3 years ago
11

The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg

Mathematics
2 answers:
11Alexandr11 [23.1K]3 years ago
8 0
The longer leg is the leg adjacent to the larger angle

so 60 

length of longer leg = 4 sin60 = 2sqrt(3) 

Veronika [31]3 years ago
7 0

Answer:

2\sqrt{3} units is the longer leg

Step-by-step explanation:

Definition: 30 -60 -90

In 30-60-90 triangle,

the length of the hypotenuse is twice the length of the shorter leg; and

the length of the longer leg is \sqrt{3} times the length of the shorter leg.

As per the statement:

The length of the hypotenuse of 30 -60 -90 triangle is 4

Length of hypotenuse = 4 units

then, by definition we have;

length of shorter leg = 2 units

then;

the length of the longer leg is \sqrt{3} times the length of the shorter leg.

⇒Length of longer leg = 2\sqrt{3} units

Therefore, the length of longer leg is, 2\sqrt{3} units

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25
DIA [1.3K]

If the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

Given that the perimeter of the equilateral triangle be 18 cm and the perimeter of all the three triangles be 46.4 cm.

We are required to find the width of the rectangle.

Rectangle is basically the shape which is having opposite sides equal to each other.

Perimeter of equilateral triangle=3 *side

3* side=18

side=18/3

side=6

Since it is on the length of the rectangle so the length of rectangle be

6 cm.

Perimeter of all the three triangles=2*width of the rectangle+1 length+perimeter of 1 equilateral triangle.

T1 and T2 are the other triangles.

Suppose the width of the rectangle be x.

Perimeter=2*x+6+18

46.4=2x+24

2x=46.4-24

2x=22.4

x=11.2

So,the width of the rectangle is equal to 11.2 cm.

Hence if the perimeter of the equilateral triangle is 18 cm then the width of the rectangle be 11.2 cm.

Learn more about perimeter at brainly.com/question/19819849

#SPJ9

6 0
2 years ago
Hey Guys!
zaharov [31]
<h3>Answer: D)  -3</h3>

Explanation:

Recall that y = f(x) since both are outputs of a function.

If k = 2, then f(x) = 2 leads to y = 2 being a horizontal line drawn through 2 on the y axis. This horizontal line only crosses the cubic curve at one spot. The same can be said if k = 0 and k = -2. So we can rule out choices A,B,C.

On the other hand, if k = -3, then f(x) = -3 has three different solutions. This is because the horizontal line through -3 on the y axis crosses the cubic at 3 different intersection points.

7 0
2 years ago
Read 2 more answers
Plzz helppp it's due today​
juin [17]

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

  • hypotenuse -> x
  • opposite side to 30˚ -> 4

Angle

  • 30˚

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

7 0
3 years ago
Read 2 more answers
Solve the inequality. Check your solutions.<br> 5t +6&gt;21
Andreas93 [3]

Answer:

t > 3 or (3,∞)

Step-by-step explanation:

7 0
3 years ago
A school rent a bus for 90 bucks if 72 students ride the bus what is the cost per student​
Masja [62]

Answer:

$1.25

Step-by-step explanation:

90 / 72 = the cost per student

90 / 72 = 1.25

6 0
3 years ago
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