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Zigmanuir [339]
3 years ago
7

I need the answer for number 10 please!

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

3x + 4y = 833

6x + 4y = 1058

II - I

3x = 225 --> x = 75

3*75 + 4y = 833 --> y = 152


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A 14 inch pizza (diameter is 14) was cut in to 8 pieces. What is the angle measure of each slice? *
Luda [366]

Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

4 0
3 years ago
Where is 2/4 on the number line with a number line of on 3 ticks?
KIM [24]
2 to the left is 3 your very welcome hope this helps
4 0
3 years ago
What is the radius of the circle x2+y2=12
valkas [14]

Answer:

Step-by-step explanation:

x²+y²=r²

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7 0
3 years ago
Which set of ratios below is not equivalent to 3:4?
Anika [276]

Answer: 54to,

​4

​

​3

​​ ,108to,

​83

​

​60

​​ ,24

Step-by-step explanation:

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{15}{20}},246to×9,

​12

​

​9

​​ ,9to×12,

​20

​20

​

​15

​​  

​

​15

​​ ,24

6 to 9, 9/12 9 to 12, 15/20 15/20, 24

+ − .   ln > <

× ÷ /   log ≥ ≤

( )    logx = %

1 Simplify  \frac{15}{20}

​20

​

​15

​​   to  \frac{3}{4}

​4

​

​3

​​ .

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{3}{4}},246to×9,

​12

​

​9

​​ ,9to×12,

​20

​4

​

​3

​​  

​

​15

​​ ,24

2 Convert 20\frac{3}{4}20

​4

​

​3

​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

​c

​

​b

​​ =

​c

​

​ac+b

​​ .

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{20\times 4+3}{4}},246to×9,

​12

​

​9

​​ ,9to×12,

​

​4

​

​20×4+3

​​  

​

​15

​​ ,24

3 Simplify  20\times 420×4  to  8080.

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{80+3}{4}},246to×9,

​12

​

​9

​​ ,9to×12,

​

​4

​

​80+3

​​  

​

​15

​​ ,24

4 Simplify  80+380+3  to  8383.

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{\frac{83}{4}},246to×9,

​12

​

​9

​​ ,9to×12,

​

​4

​

​83

​​  

​

​15

​​ ,24

5 Simplify  6to\times 96to×9  to  54to54to.

54to,\frac{9}{12},9to\times 12,\frac{15}{\frac{83}{4}},2454to,

​12

​

​9

​​ ,9to×12,

​

​4

​

​83

​​  

​

​15

​​ ,24

6 Simplify  \frac{9}{12}

​12

​

​9

​​   to  \frac{3}{4}

​4

​

​3

​​ .

54to,\frac{3}{4},9to\times 12,\frac{15}{\frac{83}{4}},2454to,

​4

​

​3

​​ ,9to×12,

​

​4

​

​83

​​  

​

​15

​​ ,24

7 Simplify  9to\times 129to×12  to  108to108to.

54to,\frac{3}{4},108to,\frac{15}{\frac{83}{4}},2454to,

​4

​

​3

​​ ,108to,

​

​4

​

​83

​​  

​

​15

​​ ,24

8 Invert and multiply.

54to,\frac{3}{4},108to,15\times \frac{4}{83},2454to,

​4

​

​3

​​ ,108to,15×

​83

​

​4

​​ ,24

9 Use this rule: a \times \frac{b}{c}=\frac{ab}{c}a×

​c

​

​b

​​ =

​c

​

​ab

​​ .

54to,\frac{3}{4},108to,\frac{15\times 4}{83},2454to,

​4

​

​3

​​ ,108to,

​83

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3 0
3 years ago
Read 2 more answers
If f(x)=5X2-2 and g(x)= x+1, find (f - g)(x).
Daniel [21]

Answer:

5x² - x - 3

Step-by-step explanation:

note that (f - g)(x) = f(x) - g(x)

f(x) - g(x)

= 5x² - 2 - (x + 1) ← distribute

= 5x² - 2 - x - 1 ← collect like terms

= 5x² - x - 3

6 0
3 years ago
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