Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer:
Seven numbers.
Step-by-step explanation:
Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.
Lets look into numbers which are odd and single digit.
1 =
∴ Sum of the number is
3 =
∴ Sum of above number is
5 =
∴ Sum of above number is
7=
∴ Sum of above number is
Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.
∴ Numbers are:
Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:
Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:
Reduce the right:
Cross multiply:
So, the value of x is 11.4
And we're done!