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omeli [17]
3 years ago
12

Sarah had 8 guests at her birthday party. She cut her round cake into 12 equal slices. 8 of the slices were eaten. What is the a

ngle measure of the cake that was left?​
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:120°

Step-by-step explanation:

Given

cake is cut into 12 equal pieces

We know the top view of cake is similar to circle .

So, if a circle is divided into 12 equal parts then

each part subtend an angle of

∅ = 360/12 = 30%

If 8 slices were eaten , then 4 slices are remaining

These 4 slices measure subtend equal angle at the center therefore

4 slice measure a total of 4 × ∅

➡️ 4 x 30°

➡️ 120°

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tensa zangetsu [6.8K]

Explanation:

First you had to square from both sides of equation form.

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

Then you expanded form.

(\sqrt{x-6+2})^2=x-4

x-4=36

6^2=6*6=36

Solve by equation form.

x-4=36

Add by four from both sides of equation form.

x-4+4=36+4

Simplify.

x=40

Verified solutions.

x=40 \boxed{TRUE}

Final answer: \boxed{x=40}

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

7 0
3 years ago
Help please. this doesn't make sense ​
saveliy_v [14]

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

5 0
2 years ago
If the zeros of a relation are x = Ź and x = 1 , determine the min/max value.
wel

Answer:

69

Step-by-step explanation:

im big brain B)

3 0
3 years ago
6x-1=11 solve equation
marin [14]

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

5 0
3 years ago
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djyliett [7]

Answer:

0.07

Step-by-step explanation:

The hundredths place is the place between the tenths and thousandths place. For example, the digit in the tenths place in 0.073 is 7.

To round to the nearest hundredth, we look to the digit right of the hundredth digit, 7. We notice that the digit in the thousandths place is 3. When rounding, if a number is 4 or less, we change that digit to a 0, along with the digits beyond it. If a number is 5 or more, we bump up the digit to the next number. Since 3 is less than 4, we change 0.073 to 0.07.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

8 0
2 years ago
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