9514 1404 393
Answer:
a) CD = 5.7
b) ED = 3.05
Step-by-step explanation:
Triangle ABE is similar to triangle ACD by AA similarity. This means we can write the proportions ...
a) CD/BE = AC/AB
CD = BE(AC/AB) = 3.8(12.3/8.2)
CD = 5.7
__
b) ED/AD = BC/AC
ED = AD((AC -AB)/AC) = 9.15(12.3 -8.2)/12.3
ED = 3.05
Answer:
Step-by-step explanation:
The sum of adjacent angles traversed by a line must equal 180 degrees.
128+x=180
x=52
Answer:

Step-by-step explanation:
To solve this problem we need to be familiar with the formula for the surface area of a cone:

We are given the length of a side and the diameter, to calculate the radius divide the diameter in half:

To calculate the height of the cone, we must use the Pythagorean Theorem:

We can treat the side length as the hypotenuse
, the radius as the base
, and solve for height
. Set the expression up like this:

Now we can plug into our original formula:

Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer:
3 ounces of water
Step-by-step explanation:
Ratios are equivalent:
6:4 is equivalent to 3:2