Phthagorean theorme is
a^2+b^2=c^2
where you have a right triangle and c =hypotonuse( normally the longest side, and opposite of right angle)
a and b are the legs
so we are given
one leg=8
hypotonues=10
subsitute
leg=a or b so just subsitute for one
subsitutt for b
a^2+8^2=10^2
expand
8^2=64
10^2=100
a^2+64=100
subtract 64 from both sides
a^2=36
square root both sides
a=6
answe ris 6 feet
Hello!
This is right because the goal of solving a quadratic equation is to isolate the variable and then solve it. First you multiply - 8/3 to both sides to isolate s and the you solve the equation by multiplying - 8/3 to - 6
Answer:
x = 4, y = 9
Step-by-step explanation:
The angles in a square are right, that is 90°
The diagonals bisect the angles , then
6x + 21 = 45 ( subtract 21 from both sides )
6x = 24 ( divide both sides by 6 )
x = 4
------------------------------------------------
The sides of a square are congruent , then
10y - 29 = 5y + 16 ( subtract 5y from both sides )
5y - 29 = 16 ( add 29 to both sides )
5y = 45 ( divide both sides by 5 )
y = 9
Only
<span>c) (-10,0)
because that is the only point in the shaded region.
</span>
Answer:
0.242
Step-by-step explanation:
p = 0.08, q = 1 − p = 0.92, and n = 1000.
The mean and standard deviation are:
μ = p = 0.08
σ = √(pq/n) = 0.00858
The z score is:
z = (x − μ) / σ = -0.70
Using a calculator or z score table, the probability is:
P(Z < -0.70) = 0.242
