9514 1404 393
Answer:
(d) 36 feet
Step-by-step explanation:
Use your sense of geometry.
The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.
That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.
The measure is about 36 feet.
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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...
d^2 = 20^2 +30^2 = 1300
d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet
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* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.
Answer:
Mean = $123
Standard deviation = 10190
Variance = 1698
Step-by-step explanation:
Mean=?
= sum of all numbers/ Total numbers
a = 93+173+107+125+56+163+144 / 7 = 861/7 = $123
Standard deviation=?
we know that = Sqareroot [ Sum (y)²] / N
we need deviation:
= x-a = y ; y²
= 93-123 = -30 ; 900
=173-123 = 50 ; 2500
=107-123 = -16 ; 256
=125-123 = 2 ; 4
=56-123 = -67 ; 4489
=163-123 = 40 ; 1600
<u> =144-123 = 21 ; 441</u>
Sum of y² = 10190.
= Square root [ 10190 / 7 ]
= 38.1
Variance = ?
= Sum ( y)² / N-1
= 10190 / ( 7-1)
= 10190 /6
= 1698
37 Celsius = 98.6 Fahrenheit
212 Fahrenheit =100 Celsius
-40 Celsius = -40 Fahrenheit
-273 Celsius = -459.4 Fahrenheit
32 Fahrenheit = 0 Celsius
Not positive but hope it helps
Answer:
d=√73=8.544
Step-by-step explanation:
Find distance (d) between market (0,8) , court house(6,5) and library(6,-1)
d between two pint is :
d=√(x2-x1)²-(y2-y1)²
d between market and court house:
d=√(6-0)²+(5-8)²
d=√36+9=√45 = 6.7082 ≅6.71 rounded to the nearest hundredths
d between courthouse and the library:
d=√(6-6)²+(-1-5)²
d=√36=6
the distance that Runner A ran=6.71+6=12.71
the distance from the library to the school:
d=√(6-(-2))²+(-1-(-4))²
d=√8²+3²
d=√64+9
d=√73=8.544 ( rounded to the nearest hundredth)
Runner B went 8.544 further than Runner A before stopping at school ( which is the distance between the library and the school.
