The light's coverage area is given mathematically as i.e. Area=
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = { where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region= {where d is the radius of region}
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Answer: Linear model and H'(t) = 9 units.
Step-by-step explanation:
Since we have given that
In 2000, amount spent = $100 billions
In 2010, amount spent = $190 billions.
So, rate of increase would be
So, linear model for H(t) would be
So, H'(t) would be 9.
Hence, linear model and H'(t) = 9 units.
Answer:
The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
Step-by-step explanation:
<u><em>The missing table in the attached figure</em></u>
step 1
Find the cost per child at Mr. Bob’s Buffet
we know that
The cost per child or unit rate is the same that the slope of the linear equation
From the graph take two points
(0,0) and (4,60)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute
step 2
Find the cost per child at Sally’s Pizza Safari.
From the data in the table
we have
(4,50) and (6,75)
<em>Find the slope</em>
The formula to calculate the slope between two points is equal to
substitute
step 3
<u><em>Verify each statement</em></u>
case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is true
Because
The cost per child is $15 at Mr. Bob’s Buffet
The cost per child is $12.50 at Sally’s Pizza Safari
The difference is $2.50 per child
case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is false (see the explanation)
case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari
The statement is false (see the explanation)
case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.
The statement is false (see the explanation)
Answer:
The Area of shaded portion is 314000 cm²
Step-by-step explanation:
Given as :
The circle is drawn with radius = r = 10 cm
Two portion of circle is shaded
∵ two portion is shaded means whole the circle is shaded now
Let The area of shaded portion = A = area of circle
∵ Area of circle = A = π × radius²
where π = 3.14
Or, A = 3.14 × r²
Or, A = 3.14 × (100)²
Or, A = 3.14 × 10000
Or, A =
I.e A = 314000 cm²
So, The Area of shaded portion = A = 314000 cm²
Hence, The Area of shaded portion is 314000 cm² Answer