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Travka [436]
3 years ago
7

Measure the diameter of the quarter to the nearest eighth of an inch. (Hint: The diameter is the length of the quarter, going th

rough the center.)
Measure the diameter of the quarter to the nearest eighth of an inch. (Hint: The diameter is the length of the quarter, going through the center.)









1\2 inch
5\8 inch
3\4 inch
7\8 inch

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

Answer:

5/8

Step-by-step explanation:

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Decide which item is the better purchase in the scenario below.
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The 3oz is better than the 20
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3 years ago
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x < 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
lys-0071 [83]
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

=> 3i - 4j + 6k
4 0
4 years ago
How far is football field to the park? *show your work*
nalin [4]

Answer:

10.95 miles

Step-by-step explanation:

a = Park\ to\ Home\\\\b = Park\ to\ Football\ Field \\\\t_{h} = Park\ to\ Library\\\\t_{h} = \sqrt{a^{2} - 2^{2} } \\\\t_{h} = \sqrt{b^{2} - 10^{2} } \\\\b = \sqrt{12^{2} - a^{2} }  \\\\-----------\\\\a^{2} - 2^{2} = 12^{2} - a^{2} - 10^{2} \\\\2a^{2} = 144 - 100 + 4 = 48 \\\\a = \sqrt{24} = 4.9\ miles \\\\-----------\\\\b = \sqrt{144 - 24}  = \sqrt{120}  = 10.95\ miles

6 0
4 years ago
Solve the equation. If necessary, round to the nearest tenth.
ludmilkaskok [199]

Answer:

Your answer for this is =1±√2

Step-by-step explanation:

Hope this is helpful :)

6 0
3 years ago
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