If a shape is a regular pentagon with five sides, which of the following must be

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

3 years ago

in a parking lot there are motocycles and cars. you count 98 wheels, and your friend counts 30 vehicles. how many cars are there

jarptica [38.1K]

There are 22 card and 8 motorcycles

6 0

2 years ago

I need the correct answers help pls

Aleksandr [31]

The answer is -3x^2+18x-30

7 0

2 years ago

Ann Landers – who wrote a daily advice column appearing in newspapers across the country – once asked her readers, "If you had i

elena55 [62]

Answer:

It shows that the survey is meaningless because of voluntary response bias.

Step-by-step explanation:

This survey in the question provides a very good example of voluntary response bias and this often overrepresents negative opinions. Now, the people who chose to respond were most likely parents who were very unhappy, and so, there is very little chance that the 10,000 respondents were representative of the population. Knowing more about her readers, or taking a sample of the sample, would not have helped.

Thus, we can conclude that ;The survey is meaningless because of voluntary response bias.

8 0

3 years ago

Linda throws a dart that hits the square shown below: What is the probability that the dart hits a point in the circle?

Kazeer [188]

Answer:

78.5%

Step-by-step explanation:

Hope this helps ;) ❤❤❤

5 0

3 years ago