We are concern about the vector (x-x0, y-y0, z-z0)
equaling to 5.
This happens
when √(x-x0)^2 + (y-y0)^2 + (z-z0)^2 = 5
Square
both side:
(x-x0)^2
+ (y-y0)^2 + (z-z0)^2 = 25 , a sphere
Which you will
recognize as a circle of radius one centered at (x0, y0, z0)
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Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.

Multiply both sides by 100.


Divide both sides by 50.


The amount invested at 7% is
.
The amount invested at 8% is

The amount invested at 9% is

Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
Answer: 45.5yds
Step-by-step explanation:
- the radius is simply half of the diameter so: 91 / 2= 45.5yd
- so the radius is 45.5yds
hope this helps :)
Answer:
1
Step-by-step explanation:
AC = 5, ao AB = 2.
This means B = -1+2 = 1.
Answer:

Step-by-step explanation:
Given: 
To find: angle to the nearest degree
Solution:
A triangle is a polygon that has three sides, three angles ,and three vertices.
Trigonometry explains the relationship between the sides and angles of the triangle.
The angle can be expressed in two forms: degrees or radians.
