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Aloiza [94]
2 years ago
7

You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​

Mathematics
1 answer:
romanna [79]2 years ago
4 0
<h3>Answer:  1/6</h3>

====================================================

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

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Simplify the following expression and justify each step in your simplification. 5(7-x)+6x(3x+4)
Mariulka [41]
35-5x+18x^2+24x 
Simplify:
18x^2+19x+35
8 0
3 years ago
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Solve the triangle given two angles and one side.
Rasek [7]

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

_____

The rounding requirement got cut out of your picture, so we can't help you with that.

3 0
3 years ago
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
3 years ago
Read 2 more answers
Three parcels weigh 2 pounds. Two parcels weigh the same. The lightest weight is 5/8 pound lighter than the heaviest weight. How
tankabanditka [31]
Its D if you want to give it a shoot but im 75% sure is D hope you got it right. :)
4 0
3 years ago
A weather station in Antarctica reports that the temperature is currently -44 °C and has been rising at a constant rate of 4.5 °
-Dominant- [34]

Answer:

-17

Step-by-step explanation:

4.5*6=27

so -44++27

6 0
3 years ago
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