Answer:
2. multiply 3/4 by 8
Step-by-step explanation:
3/4 ÷ 1/8
Copy dot flip
3/4 * 8/1
24/4
6
Answer:
y = 5
Step-by-step explanation:
WY is the perpendicular bisector of XZ and so divides ΔWXZ into 2 congruent triangles ΔWXY and ΔWZY
Hence WZ = WX ← corresponding sides, thus
5y - 8 = 2y + 7 ( subtract 2y from both sides )
3y - 8 = 7 ( add 8 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
x ≈ 49.7°
Step-by-step explanation:
Since, the given triangle is an isosceles triangle,
Two sides having measure 17 units are equal.
Opposite angles of these equal sides will be equal.
Measure of the third angle = 180° - (x + x)°
By sine rule,
[Since, sin(180 - θ) = sinθ]
cos(x) = 
x = 49.68°
x ≈ 49.7°
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.
