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Ulleksa [173]
2 years ago
13

The scatterplot shows the relationship between the number of calories and the number of grams of fat in food items at a fast-foo

d restaurant.
Based on the scatterplot, what is the best prediction of the number of calories in a food item that contains 27 grams of fat?​

Mathematics
1 answer:
docker41 [41]2 years ago
6 0

Answer: 550 calories

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In figure find the area of the red part.​
larisa [96]

Step-by-step explanation:

Given : A rectangle 4 x 8 , a semicircle

Diagonal intersecting semicircle  

To Find :Area of red part

<h3>Solution:</h3>

Angle AC make AB   α = ∠BAC

tan α = BC/AB = 4/8 = 1/2

=> α = 26.565°

∠ECA = ∠BAC = α

EC = EF = 4

=> ∠CEF = 180° - 2α

∠AED = 45°  as   AE is  diagonal of Square of side  4

=> ∠AEF  + 180° - 2α + 45° = 180°

=>  ∠AEF =  2α - 45°  = 8.13°

in Left side area  between square  and circle is split in 2 Equal parts

(1/2) area - area AFG = area of Red part

in Left side area  between square  and circle  = 4² - (1/4)π4²

= 3.4336 sq unit

half  =  1.7168 sq unit  

Now find area AFG = area ΔAEF - sector EGF

area ΔAEF  

AE = 4√2  , EF = 4    angle = 8.13°

area ΔAEF   = (1/2) 4√2 * 4 sin 8.13° = 1.6 sq unit

area  sector EGF  = (8.13/360)π4² = 1.135  sq unit

area AFG  = 1.6 - 1.135  = 0.465 sq unit

Area of Red part = 1.7168 - 0.465 sq unit

= 1.2518 sq unit

= 1.252  sq unit

= 1.25 sq unit.

Hope this helps!!

5 0
2 years ago
Read 2 more answers
2) You hired an interior designer from Atlanta Interior Design Inc. to help decorate the new game
Sonja [21]
Maybe 833. I don’t know if I’m correct or not plz tell me
4 0
3 years ago
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Which is equal to -(4 - 5)2 + 1?
DiKsa [7]

Answer:

It is equal to 3

Step-by-step explanation:

Follow PEMDAS to find the answer

Parenthasis first

- ( -1 ) * 2 + 1

No exponents

Multiplication ( left to right)

1 * 2 + 1

2 + 1

No division

Addition

3

No subtraction

At the end, you get 3

4 0
2 years ago
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PLEASE HELP, if u could look at my answer it says 48 inches is that correct if it's not could you tell me the right answer.​
andreev551 [17]
Yes I believe it is correct but not sure
4 0
3 years ago
the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units
S_A_V [24]

24 +24 = 48

11 + 11 = 22

48 +22 = 70

 the perimeter cannot be 60 with dimensions of 24 & 11

5 0
3 years ago
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