All categories

2 years ago

The figure shows a square with sides of length 1 and a diameter of length x.

Mathematics

2 answers:

alexandr1967 [171]2 years ago

7 0

Answer:

√2 units

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

Alenkinab [10]2 years ago

5 0

9514 1404 393

Answer:

x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

x² = 1² + 1²

x² = 2

x = √2 . . . . . . the length of the diagonal (diameter)

_____

<em>Additional comment</em>

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

You might be interested in

The number of lines of symmetry of an equilateral triangle is _______.

Reika [66]

Answer:

An equilateral triangle has three lines of symmetr

Step-by-step explanation:

letter d

8 0

2 years ago

There are 4 white marbles and 6 blue marbles in a bag. Jamie will randomly pick two marbles out of the bad without replacing the

zepelin [54]

Step-by-step explanation:

Total marbles = 10

No of white marbles = 4

No of blue marbles = 6

Probability of 2 white marbles = 4/ 10 = 2/5

8 0

3 years ago

A soft drink machine outputs of29 ounces per cup. The machines output is normally distributed with with a standard deviation of

Nataly_w [17]

Answer:

You will use the z score to find this so need a z score chart.

Step-by-step explanation: Remember to take what you want (35 ounce) minus the mean( 29) then divide by the standard deviation(4). Then you look up this number on the z score chart to find your probability of less than 35 ounces. You could then do the same thing using 34 ounces since your final answer will be between these two numbers.

3 0

2 years ago

PLEASE HELP ITS A TEST PLEASE PLEASE HELP!!!

german

Answer:

if it is a test why are u cheating

Step-by-step explanation:

4 0

2 years ago

The numbers on a football field indicate 10 yard increments. You walk around the perimeter of a football field between the pylon

Roman55 [17]

Answer:

5,333 square yards.

Step-by-step explanation:

Football fields have standard 100 yards length, if you walk the perimeter of a football field you will walk the twice the length and twice the width. Therefore, the width of the field can be found as follows:

$306.667 = 2L +2W\\W = \frac{306.667 - 2*100}{2} \\W= 53.33$

The area of the playing field is the product of the length by the width

$A = L*W\\A= 100*53.33\\A=5333$

The area of the playing field is 5,333 square yards.

5 0

2 years ago