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3 years ago

Geometry, please answer question ASAP

Mathematics

2 answers:

german3 years ago

6 0

Answer:

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

10 is twice 5, not twice 5/2. This does not check.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Iteru [2.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

$A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1$

True

$C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\$

True

$D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6$

True

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3 years ago

nathan smiled at 50 people one day and recorded that 36 people smiled back at him.Based on his observations how many people shou

Olegator [25]

Given :

Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.

To Find :

How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.

Solution :

Ratio of people smiled by total number of people is :

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Now, it is given that we have to use the given conditions.

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3 years ago

Find the area of a triangle with a base length of 3 units and a height of 4 units.

svetlana [45]

Answer:

$6$ square units

Step-by-step explanation:

The area of a triangle can be calculated by multiplying the triangle's base by its height, and then dividing the result by $2$ . As an algebraic expression, this would be $\frac{bh}{2}$ , where $b$ is the triangle's base and $h$ is the triangle's height. In this case, we know that $b=3$ and $h=4$ . Therefore, the area of this triangle is $\frac{3*4}{2} =\frac{12}{2} =6$ square units. Hope this helps!