Answer:
0.3
Step-by-step explanation:
hopes this helps
Answer:
- 3
Step-by-step explanation:
Using the law of logarithms
x = n ⇔ x = 
let
(
) = n
(
) = n, then
= 
Since bases are the same on both sides then equate the exponents
⇒ n = - 3 → (4)
Answer:
1/168
Step-by-step explanation:
First, solve for the numerator.
-5/7÷30
-5/7÷30/1
(use keep, change flip)
-5/7x1/30=-5/210
-5/210=-1/42
Now use keep change flip again
-1/42÷-4/1
-1/42*-1/4=1/168
In Luke's drawing, the height of the fountain is 4 cm. It is obtained after finding the real height of the fountain using the scale used by Isabella.
<h3>What is a scale?</h3>
A scale, in mathematics, is a ratio of the dimensions in a drawing to the actual dimensions. The formula is
<em>Scale = dimension in the drawing : actual dimension</em>
Given
- The scale from the fountain to Isabella's drawing is 6 m to 3 cm
- The height in Isabella's drawing = 5 cm
- The scale from the fountain to Luke's drawing is 5 m to 2
What is the height of the fountain in Luke's drawing?
The scale used by Isabella
= 3 cm : 6 m
= 3 cm : 600 cm
= 1 : 200
The actual height of the fountain
= dimension in the drawing × scale
= 200 × 5
= 1.000 cm
The scale used by Luke
= 2 cm : 5 m
= 2 cm : 500 m
= 1 : 250
The height in Luke's drawing
= the actual height ÷ scale
= 1.000 ÷ 250
= 4 cm
Hence, in Luke's drawing, the height of the fountain is 4 cm.
Learn more about scale here:
brainly.com/question/16870997
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Answer:
see explanation
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 )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)
m =
= b - a
y = (b - a)x + c
(a)
with coefficient of x being b - a
(b)
The line crosses the y- axis at (0, a ) ⇒ c = a
y = (b - a)x + a