Answer:
26 inches
Step-by-step explanation:
We are given;
- An inscribed circle whose area is 407 square inches
- In this case, we need to know that an inscribed in a square touches the four sides of the triangle.
- Therefore, the diameter of the circle is equivalent to the side of the square.
We are given the area as 507 square inches
But;
Area of the circle = pi × r²
Thus we can get the radius of the circle;
Thus;
507 in² = 3 × r²
r² = (507 ÷ 3)
= 169
r =√169
= 13 inches
But, Diameter = 2 r
Thus; Diameter = 2 × 13
= 26 inches
But, in this case, diameter = side of the square
Therefore, the side of the square is 26 inches
the ratio of 28 gallons to 56 gallons is 2:1
Yes they are both the same thing
Answer:
Step-by-step explanation:
Let the height of the street lamp be x
Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.
- sin 40° = x/20
- x = 20sin 40°
- x ≈ 12.86 ft
#27.
First cross multiply
2 (2a-3) = 3 (a-1)
next use the distribute property on both sides
4a - 6 = 3a - 3
combine like terms, subtract 3a from both sides and add 6 to both sides
a = 3
#28
cross multiply
3x = 4, then divide both sides by 3
x = 4/3
#30
add 1/4 to both sides
3/x = 1/2 + 1/4, find a common denominator for the right side fractions
3/x = 2/4 + 1/4 = 3/4
therefore, x = 4
