Answer: 37.64
Step-by-step explanation:
Given data:
Height of the cone = 4feet
Radius of the cone = 3feet
Therefore:
Perimeter of a cone = 1/3 * π * r*h
= 1/3 * 22/7 * 3² * 4
= 0.333 * 3.14 * 9 * 4
= 37.64 feet
The perimeter of the The cone and plane is 37.64feet
-10 ≥ 2x + 14
-24 ≥ 2x [subtract 14 from both sides]
2x ≤ -24 [read right to left]
x ≤ -12 [divide both sides by 2]
Check:
Let x = -13 (It is ≥ -12)
Is this true: -10 ≥ 2(-13) + 14 ?
-10 ≥ -26 + 14 ?
-10 ≥ -14 ?yes
Let x = -11 (it is not ≥ -12)
Is this false:: -10 ≥ 2(-11) + 14 ?
-10 ≥ -22 + 14 ?
-10 ≥ -8 ?yes
Draw a straight line from the mid point of one side to the opposite vertex.
Use the Pythagorean Theorem to find the length of this line. Let b = this line (the height).
a^2 + b^2 = c^2
3^2 + b^2 = 6^2
9 + b^2 = 36
b^2 = 27
b = 5.2
Now use this formula to find the area of this triangle.
A = 1/2bh
Answer:
158 quarters
54 dimes
Step-by-step explanation:
Let d = no. of dimes
q = no. of quarters
10d = value of all the dimes since each dime is worth 10 cents
and 25q = value of all the quarters since each quarter is worth 25 cents
$44.90 = 4490 cents
10d + 25q = 4490 d + q = 212
<u> - 10d - 10q = -2120</u>
15q = 2370
q = 158 quarters d + 158 = 212
d = 54 dimes
Answer:
perfect square trinomial methodIf a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered? Summary: If a polynomial has three terms, x2 + 12x + 36, the perfect square trinomial method can be considered to find the factor of the expression.
