Answer:
r = 5 feet
Step-by-step explanation:
see attached for reference
recall that volume of a circular cone is given by
V = (1/3) πr²h, where
V = volume = given as 50π ft³
r = radius (we are asked to find this)
h = height of cone = given as 6 feet
Substituting the above known values into the equation:
V = (1/3) πr²h
50π = (1/3) π (r²)(6)
50π = π (r²)(2) (divide both sides by 2)
25π = π r² (divide both sides by π)
25 = r²
r = ±√25
r = ±5 (since radius cannot be negative, we select the positive value
r = 5 feet
<span><u>Answer </u>
A) 〖128.6〗^o
<u>Explanation </u>
The question requires us to find the interior angle of a regular heptagon.
To do this first calculate the exterior angle of that polygon.
The sum of exterior angles is 360o. A heptagon has 7 sides.
So, one exterior angle = 〖360〗^o/7=〖51.4〗^o
interior angle+exterior angle=〖180〗^o
exterior=180-51.4=〖128.6〗^o
</span>
<span>Tax rate is 4.5 percent of the item cost
so if you buy shoes that cost 63.20 you have to pay 4.5 percent of this value as tax
so write 4.5 percent as a fraction or decimal
then multiply it by the item cost.
Therefore, </span><span>63.20 x .045 = $2.84</span>
Answer:
The answer is (-4) and (-7).
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3>
<u>To </u><u>Find</u>;</h3>
<h3>
<u>Formula</u>;</h3>
Now, for common difference (d)
d = a₂ – a₁ = 2 – 5 = -3
d = a₃ – a₂ = (-1) – 2 = -3
Here, common difference is same everywhere.
So, for fourth term or n = 4
aₙ = a + (n – 1) × d
a₄ = 5 + (4 – 1) × (-3)
a₄ = 5 + 3 × (-3)
a₄ = 5 – 9
a₄ = -4
Then, for fifth term or n = 5
a₅ = 5 + (5 – 1) × (-3)
a₅ = 5 + 4 × (-3)
a₅ = 5 – 12
a₅ = -7
Thus, The fourth term is (-4) and fifth term is (-7).
<span>(x−5)^ 2 = (x-5)(x-5) = x^2 - 10x + 25 (answer)</span>
