Answer:
the answer is 10
Step-by-step explanation:
because there are more pink than all
Answer:
3√10
Step-by-step explanation:
27² + y² = x²
⇒⇒⇒ y² = x² - 27² ----------------- [ 1 ]
3² + y² = z²
⇒⇒⇒ y² = z² - 3² ----------------- [ 2 ]
<u>Equate [ 1 ] and [ 2 ] :</u>
x² - 27² = z² - 3²
x² - z² = 27² - 3²
x² - z² = 720 ----------------- [ 3 ]
x² + z² = 30²
x² + z² = 900 ----------------- [ 4 ]
[ 3 ] - [ 4 ] :
-2z² = -180
z² = 90
z = √90
z = 3√10
Answer:
All numbers can be written as a product of the prime numbers that conform them.
A) Find two numbers with a common factor of 3 only.
for example:
2*3 = 6
7*3 = 21
Both numbers have the factor 3 in them, and because the other two numbers are primes, we can be sure that the 3 is the only common factor.
B) Write a pair of numbers with a common factor of 2, 3 and 6.
Here we can write:
2*3*2 = 12
3*2*5 = 30
Those two numbers have the common factors 6, 2 and 3.
C) Write a pair of numbers with common factors of 3, 6 and 9.
3*2*3 = 18 (has the factors 2, 3, 3*2 = 6, 3*3 = 9)
-3*2*6 = -36
Both have the common factors 3, 6 and 9 (and they share more common factors like 2, this happens because 6 = 3*2, so if 6 is a common factor, 2 also must be)
Answer: Time t = 33.0 seconds
Step-by-step explanation:
Given that the vertical distance H between the dock and the top of the boat's mast t seconds after its first peak is modeled by the function
H(t) = 5cos( 2π/3 t) − 35.5H
Where the maximum vertical distance = 5
At the down position, H(t) = 0
5cos( 2π/3 t) − (35.5/100)H = 0
5cos( 2π/3 t) − 0.355 × 5 =0
5cos( 2π/3 t) − 0.1775 = 0
5cos( 2π/3 t) = 0.1775
cos( 2π/3 t) = 0.1775/5
cos( 2π/3 t) = 0.355
2π/3 t = cos^-1 (0.355)
2π/3 t = 69.2
2πt = 69.2 × 3
2πt = 207.6
t = 207.6/2π
t = 33.0 seconds
You answer is: she will make $363
