Answer:
6√2
Step-by-step explanation:
Given,
θ = 45
Opposite side = 6
To find : - Hypotenuse
Formula : -
sin θ = Opposite side / Hypotenuse
[ The value of sin 45 = 1 / √2 ]
sin 45 = 6 / Hypotenuse
1 / √2 = 6 / Hypotenuse
Cross multiply,
Hypotenuse = 6√2
Answer:
y = 4/5x-18/5
Step-by-step explanation:
First we find the slope from the given points (-3,-6) (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2 - -6)/(2 - -3)
(-2+6)/( 2+3)
4/5
The slope intercept form of an equation is
y = mx +b where m is the slope and b is the y intercept
y = 4/5 x +b
Substitute a point into the equation to find b
-6= 4/5(-3) +b
-6= -12/5 +b
Add 12/5 to each side
-6 +12/5 = -12/5 +12/5 +b
Get a common denominator
-30/5 + 12/5 = b
-18/5 =b
The equation is
y = 4/5x-18/5
Answer:
Step 1: Distribute
to
and 
Step 2: Subtract from both sides of the equation 
Step 3: Add to both sides of the equation
Step 4: Divide both sides of the equation by 
Step-by-step explanation:
Step 1: Apply the Distributive Property. Then you must distribute
to
and 
Then:

Step 2: You must apply the Subtraction property of Equality and subtract
from both sides of the equation. Then:

Step 3: You must apply the Addition property of Equality and add
to both sides of the equation. Then:

Step 4: You must apply the Division property of Equality and divide both sides by
. Then:

2.625 is 21/8 into a decimal