See the picture attached to better understand the problem
we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1
applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2
substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2
the answer isthe hypotenuse is (3√2)/2
Answer:
x = 1 and x = -1
Step-by-step explanation:
Next time, please separate the equations with a comma or semicolon. Thanks.
We can substitute 4x for y in the quadratic equation x^2 + y^2=17:
x² + (4x)²=17.
Then x² + 16x² = 17, or
17x² = 17, or x² = 1. There are two solutions: x = 1 and x = -1.
Let
Present age of Sana = s
Present age of Mona = m
Sana is senior to Mona by 18 years
s=m+18............(1)
After 6 years
Sana will be = s+6
Mona will be = m+6
Then
Sana will be twice as old as Mona
(s+6)=2(m+6)
s+6=2m+12
s=2m+12-6
s=2m+6.............(2)
Put the value of s from (2) to (1)
2m+6=m+18
2m-m=18-6
m=12
Put the value of m in (1)
s=m+18
s=12+18
s=30
Present age of Sana = s = 30 years old
Present age of Mona = m = 12 years old
Answer:
C) Multiply the previous number of dots by 2.
Please mark me as brainliest:)
Find 15% of $8
Simply do this by multiplying 0.15 and 8
0.15 * 8 = 1.2
This means you left a $1.20 tip on top of your original $8
$8 + $1.20 = $9.20