Answer: The value of other side is 7.8 inch.
Explanation:
It is given that the isosceles triangle has angle measures 50°, 50°, and 80°. The side across from the 80° angle is 10 inches long.
Let the given length of other equal sides be x.
The side across from the 50° angle is x inches long.
Law of sine,





Therefore, the value of other side is 7.8 inch.
Let us say that:
x = invested at 7%
y = invested at 8.5%
and that:
<span>x + y = 12,000</span>
We can also say that:
0.07 x + 0.085 y = 900
Therefore:
0.07 x + 0.085 (12000 – x) = 900
0.07 x + 1020 – 0.085 x = 900
- 0.015 x = -120
x = $8000
so y is:
y = 12000 – 8000
y = $4,000
$8000 is invested at 7% annual interest while $4000 is invested at 8.5%
Answer:
4.9
Step-by-step explanation:
We can use the following equation to solve

Reduce


or 4.9
In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.
Let's start with the first equation.

Cross multiply both sides of the equation.


Subtract 6x on both sides of the equation.


Divide both sides of the equation by -5.


Therefore, the slope of the first equation is 4/5.
Let's now simplify the second equation.

Add x on both sides of the equation.


Divide both sides of the equation by -4.


Therefore, the slope of the second equation is -5/4.
Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.
Answer:
Danielle drove 3 hours
Step-by-step explanation:
Suppose Heather moved in the x direction.
Then Danielle moved in the opposite direction, that is, she moved in the -x direction.
Let's call
,
,
at the speed, distance and time that I code Heather
Let's call
,
,
at the speed, distance and time Danielle codes.
Observe the following diagram:
(x) Heather <------
--------- hospital ----------
-----------> Danielle (-x)
So:


We know that after 4 hours the distance between Heather and Danielle was 290 km.
That is to say:

We know that 


We already know
, the distance from the hospital to Heather, so we can find
and thus know 
So:

Then:
