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liubo4ka [24]
3 years ago
5

Given O below, the arcs AB and CD must be congruent.

Mathematics
2 answers:
PtichkaEL [24]3 years ago
7 0

Answer:

true

Step-by-step explanation:

Romashka-Z-Leto [24]3 years ago
4 0

Answer:

Option A true is the answer.

Step-by-step explanation:

The given circle there are two arcs AB and CD.

Angles formed by these arcs at the center arc 30°

Formula of length of arc = r × θ

where r = radius of the circle

and θ = angle formed by arc at the center.

mAB = OA × (30°) [ By formula ]

similarly mCD = DC × (30°)

Since OA = OC = r (radii of the circle )

So mAB = mCD

Therefore, statement is true.

Option A true is the answer.

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How did u get 4/3. Because I’m confused
Svet_ta [14]
What’s the original question and I can help!
5 0
3 years ago
A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. mater
BartSMP [9]
Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

7 0
3 years ago
PLEASE HELP!!
Natasha2012 [34]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1/y = -3x/2+ 3 and rewrite it in the form of y = p/ q+x
Aleks [24]

1/y = -3x /2 + 3

mulytiply each term by 2y:-

2 = -3xy + 6y

y = 2 / -3( (x - 2)

y = -0.667 (-2 + x)

7 0
3 years ago
The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
2 years ago
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