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ella [17]
3 years ago
5

Mathematics 25 points

Mathematics
2 answers:
jeka57 [31]3 years ago
8 0

Answer:

The angle from the centre of Ann's slice is 60 degrees.

Step-by-step explanation:

If the size of the slices is proportional to the ages of the children eating the cake, then the sum of their ages equal to 360 degrees (since the cake is a circle).

So to work out the angle of Ann's portion, we find a fraction for Ann's age over the total of all of their ages. So:

5/(5 + 10 + 15) = 5/30

Now since we know their ages are proportional to the slices of cake, we can find the same value for the fraction 5/30 that is out of 360 to work out the angle. Let's call the angle representing Ann's slice x. So know we can create an equation:

5/30 = x/ 360

5/30 * 360 = x

x = 60

Andre45 [30]3 years ago
8 0

Answer:

60 degrees.

Step-by-step explanation:

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vodomira [7]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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What is the exact value of sin -840
dsp73
First subtract  2 revolutions from the - 840 :-    (- (840-720)  = -120

This gives  sin -120  which is in the 3rd quadrant of the unit circle

sin -120  =  - sin 60  = - sqrt3/2
7 0
3 years ago
Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
Lubov Fominskaja [6]

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

8 0
3 years ago
2 If m please help me
Nadusha1986 [10]

Answer:

x = 18

m∠HCB = 36

Step-by-step explanation:

The measure of angle FBC is 8x and the measure of angle HCB is 2x. If you add the measures of both angles it will equal to 180 degrees. This can be represented in an equation:

8x + 2x = 180

10x = 180

Divide both sides of the equation by 10 to isolate the x:

10x/10 = 180/10

x = 18

Now that we know the value of x, we can find the measure of angle HCB:

2x

2(18)

36

The measure of angle HCB is 36.

I hope this helps :)

8 0
3 years ago
A candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randoml
Otrada [13]

Answer:

Option B

Step-by-step explanation:

Given that a  candy manufacturer is interested in the distribution of colors in each of its packages of candy sold. The manufacturer randomly sample packages from multiple batches at one factory.

Because he resorts to only one factory, there may be bias in the sample.  Other factories may have different processes of the settings and also if a diversified sample is taken then it is likely to represent the whole population, and hence results would be more accurate

Option A is incorrect since only one factory was done

C and D are not selected because one factory result cannot be generalised to all other factors in the same country or outside.

So answer would be

B) No, because the other factories may have different processes or the settings

7 0
3 years ago
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