What is the length of line segment CD?

Mathematics

1 answer:

zzz [600]3 years ago

7 0

(-2,2), (4,-4). There are two common ways to attack this problem. The distance formula and Pythagorean theorem. I would use Pythagorean. make line segment cd the hypotenuse of a right triangle. legs would be 6 units and 6 units. a^2+b^2=c^2. 6^2+6^2=c^2. c^2=36+36. c^2=72. c=sq root of 72. c=8.5

You might be interested in

A polling company reported that 33% of 2302 surveyed adults said that they play basketball. Complete parts (a) through (d) be

Evgen [1.6K]

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

$33\% \text{ of } 2302$ = $\frac{33}{100}\times 2302$

= 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

= $\frac{272}{2302}\times 100$ = 11.82% ≈ 12%