B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.
We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.
We get the following fraction
6 375/1000
We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200
Let's divide by 5 again:
6 15/40
Let's divide by 5 again:
6 3/8
Or we could have divide by 125 from the get go and get the same results.
Answer:
35-7x
Step-by-step explanation:
Multiply parenthesis by -7
Answer:
10
Step-by-step explanation:
cos(30) = b / c
c = b / cos(30)
c = 5xsqrt(3) / 0.866
c = 10
Answer:
24mm
Step-by-step explanation:
since it's a similar triangle, we solve;
EH/EG=DH/DG
EH=56mm;
EG=44.8mm;
DH=35mm;
DG=X+4.
Fix them,
56/44.8=35/x+4
cross multiply
56(x+4)=35×44.8
56x+224=1,568
collect the like term
56x=1,344
divide via by 56
56x/56=1344/56
x=24mm
Check/ verify
EH/EG=DH/DG
56/44.8=35/24+4
56/44.8=35/28
CROSS MULTIPLY OVER THE EQUAL SIGN.
56×28=35×44.8
1,568=1,568
THAT'S CORRECT.
Answer: If the center of rotation is changed, the pentagon maps back onto itself only one time, when the value of a is 360 degrees that is, when the pentagon completes a full rotation. (just a heads up if your going to copy and paste, change it up a bit because this is word for word :) hope it helped!)
