Answer:
Given: BD is an altitude of △ABC .
Prove: sinA/a=sinC/c
Triangle ABC with an altitude BD where D is on side AC. Side AC is also labeled as small b. Side AB is also labeled as small c. Side BC is also labeled as small a. Altitude BD is labeled as small h.
Statement Reason
BD is an altitude of △ABC .
Given △ABD and △CBD are right triangles. (Definition of right triangle)
sinA=h/c and sinC=h/a
Cross multiplying, we have
csinA=h and asinC=h
(If a=b and a=c, then b=c)
csinA=asinC
csinA/ac=asinC/ac (Division Property of Equality)
sinA/a=sinC/c
This rule is known as the Sine Rule.
Answer:
x = 3.53 ft
y - 3.53 ft
z = 3.53 ft
Step-by-step explanation:
given details
volume = 44 ft^3
let cardboard dimension is x and y and height be z
we know that area of given cardboard without lid is given as
A = xy + 2xy + 2yz
xyz = 44 ft^3
To minimize area we have
A = xy + 2x (44/xy) + 2y(44/xy)
A = xy + (44/y) + (44/x)
we have
................1
..............2
from 1 and 2
xy(y-x) = 0
xy = 0 or y = x
from geometry of probelem
x ≠ 0 and y ≠ 0
so y = x
x^3 = 44
x = 3.53 ft = y
z = 44/xy = 3.53
Step One: Line Up All the Digits. First, line up all of the numbers according to their place value.
Step Two: Multiply by the Ones Digit. ...
Step Three: Add a Zero Place Holder. ...
Step Four: Multiply by the Tens Digit. ...
Step Five: Add the Two Answer Rows Together.
Answer:first one
hope this helps
The first decimal place has the digit 0
the second decimal place has the digit 7
the third decimal place has the digit ....either 1 or 2.
this depends on the forth one, if it was 5 or higher, the third digit would be 2
since the fourth digit is 3, which is lower than 5, we don't have to change the third digit : it remains a "1"
so the answer is 0.071
