Volume = Length × width × height
V = 4×4×8 = 128 cubic ft
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (- 2, 7)
m = 
= 
= - 1, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (4, 1), then
1 = - 4 + c ⇒ c = 1 + 4 = 5
y = - x + 5 ← equation of line
So first tyler has to purchase his guitar. 300-140=160. he has 160 dollars to spend on the music club. Tyler can afford the membership for 13 months and he will have $4.65 left
Answer:
5√2
Step-by-step explanation:
This triangle is a 45 - 45- -90 triangle which is a special trig triangle. This triangle has side lengths which are always the lengths or a a multiple of 1 - 1 - √2.
Since the side length which is longest is 10, this corresponds to the side length √2. Look for a number which when multiplied with √2 gives 10.
√2*√50 = √100 = 10.
The triangle has scaled up the parent triangle by a factor of √50. This means the other sides are 1*√50 = √50 = 5√2
This simplifies to 5√2 since √50 = √25*√2 = 5√2.
