Answer:
4.75 pounds
Step-by-step explanation:
Before the termites: 5 pounds
After the termites: 1/4 of a pound
Amount that the termites took: x
5 - x = 1/4
Add x to both sides of the equation
5 = 1/4 + x
Subtract 1/4 from both sides of the equation
4 3/4 = x
4 3/4 = 4.75
The termites took 4.75 pounds from the log
Hope this helps :)
Answer:
sin Φ/(sin Φ + cos Φ) = 12/17
Step-by-step explanation:
sin Φ = 12/13
then sin Φ + cos Φ = 12/13 + 5/13
= 17/13
So , sin Φ/(sin Φ + cos Φ) = 12/13 ÷ 17/13
= 12/13 × 13/17
= 12/17
Answer:
The diameter of the circle must be equal to the diagonal of the square.
Step-by-step explanation:
In order to draw a square inscribed with in the circle, the diameter of the circle must be equal to the diagonal of the square.
a) Draw a circle with center O
b) Draw the diameter of the circle with end points A and B
c) Draw perpendicular bisector of diameter AB intersecting the circle at point C and D
d) Now connect point A, B, C and D
Answer:
x= 3/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x−2(x+1)=
1
/4
5x+(−2)(x)+(−2)(1)=
1
/4
(Distribute)
5x+−2x+−2=
1
/4
(5x+−2x)+(−2)=
1
/4
(Combine Like Terms)
3x+−2=
1
/4
3x−2=1
/4
Step 2: Add 2 to both sides.
3x−2+2=
1
/4
+2
3x=
9
/4
Step 3: Divide both sides by 3.
3x/
3
=
9
/4
/3
x=
3
/4