Rate 5 meters per every four seconds
30÷5=6
6×4=24
24 is the answer
Answer: y = x/4 + 2
Y equals one fourth x plus two.
Step-by-step explanation:
There seems to be a typo on answer choice c.
Slope intercept form is y= mx + b
m is the slope. b is the y-intercept.
The y-intercept is given here in the coordinate (0,2) It is +2
Slope is rise/run.
Rise: Difference in given y-values is 4-2 = 2.
Run: Difference in x-values is 8-0=8.
So the slope is 2/8 = 1/4
The equation is y = 1/4 x + 2
Multiply the radius by 2 that make the diameter 18 then multiply 18 by 3.14 which equals about 56.54 inches
This problem involves the uses of the Pythagorean Theorem as well as the use of Sine.
To start we need to identify what we know and what we don't know. We know that there are two triangles. We are given 2 sides lengths and an angle in one and only an angle in the other. They share one side meaning when we are given 2 sides in one triangle it will be easy to get the third side. What we don't know is the side length of CB DB or CD. We need to find CB in order to find CD.
<em>Pythagorean Theorem for side length CB:</em>
12^2-6^2=√108
√108=10.4 (average)
So CB is equal to 10.4
<em>Sine Calculation for side length CD:</em>
Since we have angle 56* we will use the length we found which will be the opposite side from the angle and then input x for our hypotenuse CD in order to solve.
sin 56* = 10.4/x
sin 56* × x = 10.4/x × x
sin 56*x = 10.4
/sin 56* /sin 56*
x = 12.544....
or 12.6 (average)
So, to conclude, our answer for CD is 12.6cm.
Hope I helped!
Answer:
Step-by-step explanation:
You have what is called "perfect squares" so you can use the "difference of squares formula to factor:
So,
you can work the equation backward now and you will get your original equation.
