Answer:
You have one algebraic expression. It can be simplified by adding and subtracting like terms within it.
You have two algebraic expressions and are asked to add or subtract them. After adding or subtracting, you’ll end with one final algebraic expression.
Answer:
Four-thousand two-hundred and nine
hope this helps =3
<span>An actor invested some money at 9% simple interest, and $42,000 more than three times the amount at 12% per annum. </span><span>What we are after is amounts of interest invested at 9% and at 12%. Let's call them x and y respectively.
x=42000 at 9% = </span>$3,780.00 = $45,780.00
y=3x42000 at 12% = $15,120.00 = $141,120.00
x+y=$186,900.00
Answer:
-9.56
Step-by-step explanation:
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
<u>Solution for (a)</u>
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h
/3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
<u>Solution for (b)</u>
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
