Answer:
4⅝
Step-by-step explanation:
7¾ − 3⅛
Write as improper fractions.
7¾ = (7×4+3)/4 = 31/4
3⅛ = (3×8+1)/8 = 25/8
31/4 − 25/8
Find the common denominator (in this case, 8).
62/8 − 25/8
Subtract:
37/8
Convert to proper fraction. 8 goes into 37 4 times with a remainder of 5.
37/8 = 4⅝
Answer:
Question 16: 44 inches
Question 18: 10, 24, 26
Step-by-step explanation:
<em><u>Question 16:</u></em>
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.
125^2 = 117^2 + b^2
15,625 = 13,689 + b^2
15,625 - 13689 = b^2
1936 = b^2
√1936 = b
44 = b
<em><u>Question 18: </u></em>
Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.
The answers are 10, 24, 26
c^2 = a^2 + b^2
26^2 = 10^2 + 24^2
676 = 100 + 576
676 = 676
Is it a true or false answer? If it is then the answer would be false because the left side 0 does not equal to the right side 37,which means the given statement would be false
Answer:
π4;3π4
Step-by-step explanation: Trig table gives:
sinx=√22 --> arc x=π4
Unit circle gives another arc x that has the same sin value:
x=π−π4=3π4