X=10 first u do 35-5 then u do 30/3 to get 10
Answer:
4, 5 and 6
Step-by-step explanation:
Add 19 to both sides:
-4x > 52
Divide by -4
x > -13 (Flip the sign when multiplying or diving by a negative)
4, 5 and 6 satisfy this
Answer:
6kg
Step-by-step explanation:
kg are bigger than g
Answer: 4
There are three different ways to find the remainder. Since I don't know which lesson you are working on, I will show you all three methods.
<u>Long Division:</u>
<u>3x + 7 </u>
2x - 1 ) 6x² + 11x - 3
- <u>(6x² - 3x)</u> ↓
14x - 3
- (<u>14x - 7)</u>
4
<u>Synthetic Division:</u>
2x - 1 = 0 ⇒ x = 
| 6 11 -3
<u>| ↓ 3 7</u>
6 14 4
<u>Remainder Theorem:</u>
2x - 1 = 0 ⇒ x =
f(x) = 6x² + 11x - 3
f() = 6()² + 11() - 3
= 6(
) + 
- 3
= 
+ - 
= 
= 4
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
