Answer:
13 inches
Step-by-step explanation:
the volume of a prism is (L)(w)(h)
height=2
width=4
length=?
2(4)(x)=104
8x=104
x=13 inches.
Answer: 84%
Step-by-step explanation:
1. You divide: 63/75
2. Your answer is 0.84
3. You convert it into a percent by moving the decimal two times to the right
4. You get 84%
y = 4x - 2
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 )
let ( x₁, y₁ ) = (5, 18) and (x₂, y₂ ) = ( - 3, - 14 )
m =
=
= 4
the partial equation is y = 4x + c
to find c substitute either of the 2 given points into the partial equation
using (5 , 18) then 18 = 20 + c ⇒ c = 18 - 20 = - 2
y = 4x - 2 is the equation in slope- intercept form
Answer:

Step-by-step explanation:

Solve the brackets first.

Division comes next.

Cancel the negative signs.

Multiply the terms.


Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = 
= 
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is
, and the height of the tree is 10 m, then the distance, d, across the river would be;
d = 
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.