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algol13
3 years ago
7

75° 38 54 +24°52′15"

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

  100° 31' 09"

Step-by-step explanation:

There are 60 seconds in a minute, and 60 minutes in a degree.

  75°38'54" +24°52'15" = (75+24)° (38 +52)' (54 +15)"

  = 99° 90' 69"

  = 99° 91' 09" . . . . . turn excess seconds into a minute

  = 100° 31' 09" . . . . turn excess minutes into a degree

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Find the area of the shape shown below.
SCORPION-xisa [38]
The correct is 40 hope I helped
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3 years ago
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Which of the following is an equation for the plane through the point (1, 1, −1) and parallel
Bas_tet [7]

The given plane, x-y+z=3, has normal vector \vec n = \langle1,-1,1\rangle. Any plane parallel to this one has the same normal vector.

Let (x,y,z) be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

\langle x,y,z\rangle - \langle 1,1,-1\rangle = \langle x-1, y-1, z+1 \rangle

and this is perpendicular to \vec n.

So the equation of the plane is

\langle x-1, y-1, z+1 \rangle \cdot \vec n = 0 \implies (x-1) - (y-1) + (z+1) = 0 \implies \boxed{x - y + z = -1}

or equivalently,

\boxed{-x + y - z = 1}

6 0
1 year ago
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drek231 [11]
A, C, And D

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7 0
3 years ago
Should Shrek get into smash bros ultimate. Explain why or why not
faust18 [17]

Answer:

1. & 3.

Step-by-step explanation:

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7 0
2 years ago
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David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
2 years ago
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