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avanturin [10]
3 years ago
14

Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa

me amount of the giant cookie what is the actual size of their piece?
Mathematics
1 answer:
frozen [14]3 years ago
8 0

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

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Q4 Find the missing angle x
BaLLatris [955]

Answer:

Step-by-step explanation:

X = 1/2 arc QS

arc QS is  

360 =145+105+QS

110 = QS

so X is 1/2 QS

X= 55°

5 0
3 years ago
Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti
olga2289 [7]

Answer:

2\frac{2}{3}

Step-by-step explanation:

Given the information

  • 4 containers of 4 different colors
  • 1/3 of each color left over
  • She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color  were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However,  8/3 = 2\frac{2}{3}  > 2\frac{1}{2}  

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:  2\frac{2}{3}

Hope it will find you well

7 0
3 years ago
Calculate the slope of the line passing through the two colored points below. (1,4) (-1,-1)
leonid [27]

Answer:

Slope = \frac{5}{2}

Step-by-step explanation:

We can define the slope as the "change in y values" divided by the "change in x values".

By change in, we mean, 2nd point MINUS the first point values.

The points given is:

(1,4)  &  (-1,-1)

<u>Change in y value:</u>

-1 - 4 = -5

<u>Change in x value:</u>

-1 -1 = -2

Slope is -5/-2 = 5/2

There is no answer choice. The correct answer is 5/2

6 0
3 years ago
4. (10 points) From the given triangle:
katrin2010 [14]

Answer:

sinθ =  y/r        sinθ = \frac{-6}{10} = \frac{-3}{5}

cosθ =  x/r       cosθ = \frac{8}{10} = \frac{4}{5}

tanθ =  y/x       tanθ =  \frac{-6}{8} =\frac{-3}{4}

cscθ =  r/y       cscθ = \frac{-5}{3}

secθ =  r/x       secθ =  \frac{5}{4}

cotθ = x/y       cotθ = \frac{4}{3}

explanation:

r = \sqrt{(8)^{2}+(-6)^{2}  }

r = 10

x = 8

y = -6

r = \sqrt{(4)^{2}+(3)^{2}  }

r = 5

x = 4

y = 3

7 0
3 years ago
Consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
g100num [7]

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

4 0
3 years ago
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