Answer:
The width of the frame must be 12 inches (15in by 12in)
Step-by-step explanation:
Given
See attachment for painting and frame
Required
Determine the dimension of the frame
To do this, we make use of the following scale ratio.
For the painting,
For the frame,
Since she wants to maintain the same ratio; both scale must be the same.
i.e.
Express as fraction
Make w the subject
<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>
Answer:
The first four terms of the sequence is : A) 7, 17, 37, 77.
Step-by-step explanation:
The given function f(n) = 2 x f(n − 1) + 3
Also, f(1)= 7
<u>FOR n= 2</u>
f(2) = 2 x f(2-1) + 3 = 2 x f(1) + 3
= (2 x 7) + 3 = 14 + 3 = 17
⇒f(2) = 17
<u>FOR n= 3</u>
f(3) = 2 x f(3-1) + 3 = 2 x f(2) + 3
= (2 x 17) + 3 = 34 + 3 = 37
⇒f(3) = 37
<u>FOR n= 4</u>
f(4) = 2 x f(4-1) + 3 = 2 x f(3) + 3
= (2 x 37) + 3 = 74 + 3 = 77
⇒f(4) =77
So, the first four terms of the sequence are 7, 17, 37, 77.
A) is the correct option.
Answer:
34.72 feets
Step-by-step explanation:
Using the relation :
Length of tree / shadow of tree = height of melody / shadow of melody
From the details given in the question :
Let height of tree = h
h / 62 = 5.6 / 10
Cross multiply
h * 10 = 62 * 5.6
h = 347.2 / 10
h = 34.72 feets
Hence, the height of tree is 34.72 feets
10 weeks, 10 times 2 is 20, and 5 times 10 is 50, divided by 2 is 25, add 20 to 25 which is 45
Answer:
The coordinates of the Midpoint of AB will be: (1/2, 5)
Step-by-step explanation:
Given the points
Finding the midpoint between (-2, 6) and (3, 4)
Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)
