9514 1404 393
Answer:
x = 4
Step-by-step explanation:
Corresponding segments of similar triangles are proportional. Here, the similar triangles are ...
ΔABC ~ ΔADE
so the relationship between the sides is ...
BC/BA = DE/DA . . . . . . we put the unknown value in the numerator
x/4 = 12/(4+8)
x = 4(1) = 4
The length of side x is 4.
Answer:
9
Step-by-step explanation:
Well, if it is increasing at a fixed rate of 2 mm/s, then the volume would still be increasing at a rate of 2 mm/s when the diameter is 80 mm, if I understand your question correctly.
Note:xy means x times y and x(y) means the same thing
so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0
squareroot(y-1)+3=y
isolate the squareroot
subtrac 3 from boht sides
squareroot(y-1)=y-3
square both sides (since they are equal, you should be able to square both sides and still make it true)
(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5
0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0
therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work
let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true
y=5
Answer:
p hat≈N(0.34,0.0273)
Step-by-step explanation:
Given information p=0.34
Number of random samples=300
The sampling distribution of p hat is
p∧≈N(0.34,\sqrt{\frac{0.34(1-0.34)}{300}})
≈N(0.34,0.0273)