6 foot makes 4.5 foot shadow
1 foot makes=4.5/6
so 50 foot =4.5/6*50 = tree makes 37.5 foot shadow
A perfect fifth above a note has a frequency ratio of 3 to 2.
Therefore, we can set the proportion:
164.81 : x = 2 : 3
which gives:
x = <span>164.81 </span>× 3 ÷ 2
= 247.21
Hence, the perfect fifth above E₃ will have a frequency of 247.21Hz which corresponds to a B₃.
Answer:
Plese read the complete procedure below:
Step-by-step explanation:
The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)
a)
1 -6 3 26 -24 |<u> 1 </u>
<u> 1 -5 -2 24</u>
1 -5 -2 24 0
The remainder is zero, then (a-1) is a factor of the polynomial
b)
1 -6 3 26 -24 |<u> 2 </u>
<u> 2 -8 10 72</u>
1 -4 5 36 48
When p(a) is divided by (a-2) the remainder 28/p(a)
1 -6 3 26 -24 |<u> - 4 </u>
<u> -4 40 172 -792</u>
1 -10 43 198 -816
When p(a) is divided by (a-2) the remainder -816/p(a)
c) I attached an image of the long division below:
Answer:
it is 18
Step-by-step explanation:
to find the scale factor divide 48 by 32 to get 1.5, and then multiply the diameter given which is 12, by 1.5 to get 18
Answer:
Step-by-step explanation:
1 in=2 ft
Bedroom 1
scale
17.5 in ×12.5in
actual
(17.5×2)×(12.5×2)
or
35 ft×25 ft
Living Room
scale
17.5 in×17.5 in
actual
35 ft×35 ft
Bathroom 1
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Kitchen
scale
17.5 in ×12.5 in
actual
35 ft×35 ft
Bedroom2
scale
12.5 in ×12.5 in
actual
25 ft×25 ft
Entryway
scale
12.5 in×12.5 in
actual
25 ft×25 ft
Bathroom 2
scale
12.5 in×5 in
actual
25 ft×10 ft