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masya89 [10]
3 years ago
13

What is the value of x?

Mathematics
1 answer:
fredd [130]3 years ago
3 0

Answer: 4

Step-by-step explanation:

Well, first you need to use the 30-60-90 special triangle property to find out the length of the hypotenuse triangle with the side with the length 2√3.

The 30-60-90 property states that if the hypotenuse is x, then the leg opposite to 30 degrees has the length of x/2 and the leg opposite to 60 degrees has the length of (x√3)/2. So if the leg opposite to 60 degrees has a length of 2√3, the hypotenuse can be found with this equation: 2√3=(x√3)/2, and when you solve this equation, you should get x=4.

Now that you have figured out the hyptenuse of the 30-60-90 triangle, you can use that leg to find the length of the other leg in the 45-45-90 triangle. Since both of the legs are opposite to the same degree angle, they are both congruent, and the value of x in the problem is 4.

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If M = 5x2 + 7x - 4 and N = -3x2 - 4x + 5, then M - N equals
Alinara [238K]

Answer

8x^2+11x-9

Step-by-step explanation:

That is the answer :))

4 0
3 years ago
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l
AlexFokin [52]

The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.

<h3>What is a Rhombus ?</h3>

Rhombus is a quadrilateral with all the sides equal to each other.

It is given that d₁ and d₂ are the lengths of the diagonals.

and Area = a

a = (1/2) d₁ * d₂

  • 2a = d₁ * d₂

       d₁ * d₂ = 2a

       It can be written as

        d₁= 2a/d₂

a = (1/2) d₁ * d₂

  • d₁ * d₂ = 2a

        d₂= 2a/d₁

Therefore Option 2 and 5 are the correct answer.

The options of this question are:

1.  d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2A/d₁

To know more about Rhombus

brainly.com/question/27870968

#SPJ1

3 0
2 years ago
A Statistics class is estimating the mean height of all female students at their college. They collect a random sample of 36 fem
Butoxors [25]

Answer: = ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 65.3

Standard deviation r = 5.2

Number of samples n = 36

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

65.3 +/-1.645(5.2/√36)

65.3 +/-1.645(0.86667)

65.3+/- 1.4257

65.3+/- 1.4

= ( 63.9, 66.7)

Therefore at 90% confidence interval (a,b)= ( 63.9, 66.7)

4 0
3 years ago
What is the inverse of the function f (x) = 3(x + 5)2 – 4, such that x ≤ –5?
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The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.


3 0
2 years ago
What are the coordinates of the point (-9, 4) after a 90 degree rotation followed by a translation 3 units right?
oksian1 [2.3K]
(-9,1) should be the answer not completely sure tho
3 0
2 years ago
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