Answer:
The value of x is 8cm. The length of 3 sides are 8cm, 15cm and 17cm.
Step-by-step explanation:
Using Pythagoras' Theorem, a²+b² = c² :
Let a be x cm,
Let b be x+7 cm,
Let c be 2x+1 cm
x² + (x+7)² = (2x+1)²
x² + x² + 14x + 49 = 4x² + 4x + 1
2x² + 14x + 49 = 4x² + 4x + 1
Then, move all the variables to one side and solve it to find the value of x :
4x² + 4x + 1 - 2x² - 14x - 49 = 0
2x² - 10x - 48 = 0
2(x² - 5x - 24) = 0
x² - 5x - 24 = 0
(x-8)(x+3) = 0
x - 8 = 0
x = 8 cm
x + 3 = 0
x = -3 cm (rejected)
Substitute the x value into the length of a,b and c :
a = x
= 8 cm
b = x + 7
= 8 + 7
= 15 cm
c = 2x + 1
= 2(8) + 1
= 16 + 1
= 17 cm
Answer:
see explanation
Step-by-step explanation:
A
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Here diameter = 12 , then radius = 12 ÷ 2 = 6 , then
A = π × 6² = 3.14 × 36 = 113.04 m²
B
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius )
Here C = 28.26 , then
2πr = 28.26 ( divide both sides by 2π )
r = 
= 
= 4.5 in
What is the modulus of 2 – 3i?
to make a perpendicular function from another we must take its slope and make two transformations
the slope of y=1/3x is 1/3
the transformations:
1.
reverse the number
2.
and change the sign
ok we have the slope now need the general equation of the line
where m is the slope , b a cut point and (x,y) a point
so, we have the slope=-3 , and the point (2,-3) we can replace to find b
now we can replace b and the slope to have the final equation
Answer:
There is a 3/95 probability that a granola bar is chosen one choice after the other without replacement.
Step-by-step explanation:
The probability of choosing a granola bar without replacing the first bar is 4/20, or 1/5. 4 represents the number of granola bars, and 20 represents the total snacks. Then there are 19 snacks and 3 granola bars which represents the 3/19 chance of getting a granola bar the second time without replacing it.
To find the probability of both of those events happening, multiply them.
(1/5) * (3/19) = 3/95.
