Answer:
<C = 133 degrees
Step-by-step explanation:
<B = 90 - 43
<B = 47
<C = 180 - 47
<C = 133 degrees
Answer:
A.
Step-by-step explanation:
tan x= 6/8
usually tan θ = perpendicular / base
So,
we get perpendicular = 6, base = 8
Now using Pythagorean Theorem to find hypotenuse
hyp² = base² + Perp²
hyp² = 8² + 6²
hyp²= 64 + 36
hyp²=100
Taking sq root on both sides
hypotenuse = 10
Now
sin θ = Perpendicular / Hyp
sin x = 6 / 10
Now
cos θ = base / Hyp
cos x = 8 / 10
When you're given a point and the slope of a line, it is often easiest to write its equation in
point-slope form.
This is

, where

is the ordered pair for the point you are given and m is the slope.
Here, you would write

. Then, you simplify to get to
slope-intercept form, which is

, where b is the y-intercept.
The correct answer is A.
Answer:
A 100 lb person will weight 40 lb on Mars
Step-by-step explanation:
Given:
Weight on Mars directly varies as its weight on earth.
Let weight on Mars be = 
Let weight on Earth be = 
Its known that:
∝ 
Thus
where
is constant of proportionality.
when
, then 
thus, we have
dividing both sides by 95.
∴ 
Thus when
,
would be calculated as


∴
(Answer)
∴ A 100 lb person will weight 40 lb on Mars.
Answer:
let the daughter age be x
let mother age be 3x
Step-by-step explanation:
x+3x= 80
4x = 80
x= 80\4
x=20
daughter age is 20
mather age= 80 -20
= 60
daughter age 20
mother age 60