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Dmitry [639]
2 years ago
5

Jessie has a piece of wood that is 8 feet long he needs to cut pieces that are seven eighths of a foot long how many pieces will

he be able to make
Mathematics
2 answers:
juin [17]2 years ago
4 0
He will be able to make 9 1/7 pieces:)
pochemuha2 years ago
3 0
He would make 9 and 1/7 pieces
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Find Sn for the arithmetic series 5+7+9 + … and determine the value of n for which the series has sum 165.
SVETLANKA909090 [29]

Answer:

see explanation

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[2a + (n - 1)d ]

where d is the common difference and a is the first term

here d = 9 - 7 = 7 - 5 = 2 and a = 5, hence

S_{n} = \frac{n}{2}[(2 × 5) + 2(n - 1) ]

                        = \frac{n}{2}(10 + 2n - 2)

                        = \frac{n}{2}(2n + 8)

                        = n² + 4n

When sum = 165, then

n² + 4n = 165 ← rearrange into standard form

n² + 4n - 165 = 0 ← in standard form

(n + 15)(n - 11) = 0 ← in factored form

equate each factor to zero and solve for n

n + 15 = 0 ⇒ n = - 15

n - 11 = 0 ⇒ n = 11

but n > 0 ⇒ n = 11



4 0
3 years ago
I can’t figure out the surface area. Someone please help !! :)
Ilia_Sergeevich [38]
<h3> Answer:</h3><h2>surface area is 227•1</h2><h2>volume is 321•7</h2>

Step-by-step explanation:

diameter is 8•5

radius is d/2

8•5/2

=4•25

surface area = 4πr^2

4×22/7×4•25×4•25

=1589•5/7

=227•1

Volume= 4/3πr^3

4/3×22/7×4•25×4•25×4•25

4/3×22/7×76•76

=321•7

Hope it helps

plz mark as brainliest

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2 years ago
Given f(x) = sin x and g(x) = cos x, find f(g(pi/2)) = 0. show all steps.
Nana76 [90]
Heya !

Check the attachment.
Hope it helps you :)

6 0
3 years ago
What is the actual slope of this line?
andriy [413]
-4 is the slop of the line
8 0
2 years ago
Please help, I can’t seem to figure this out.
Mamont248 [21]

I got 2.1  please rate 5 stars and thanks

8 0
3 years ago
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