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rodikova [14]
3 years ago
14

Michelle had a balance of -$43 in her account. The bank charged her a fee of $15 for having a negative balance. What is her new

balance?
Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
-43 - 15 = -58
Hope this helps!

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Which number line represents the solutions to |x - 2|= 6?
Alexeev081 [22]

Answer:8 and -4

Step-by-step explanation:

[x-2]=6 ,x-2 =6 ,x=8 and x-2=-6 ,x=-4

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Find the volume of a right circular cone that has a height of 17.7 cm and a base with a diameter of 15.8 cm. Round your answer t
Lelu [443]

Answer:

1156.8cm^3

Step-by-step explanation:

The volume of a cone is given as:

V =\frac{1}{3}  \pi r^2h

where r = radius

h = height of cone

The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).

Its volume is:

V = \frac{1}{3} * \pi = 7.9^2 * 17.7\\ \\V = 1156.8cm^3

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Find the exact area of the shaded region
GREYUIT [131]

Answer:

B: 192pi - 144

Step-by-step explanation:

Area of the sector = (120/360) * pi * r^2

Area of the sector = 1/3 * pi * 24 * 24

Area of the sector = 192 * pi

Now to find the area of the triangle.

The triangle is an isosceles triangle That means two of its sides are equal. They are equal to the radius of the circle, which is 24.

the small angles are equal to

2x + 120 = 180    Subtract 120 from both sides

2x = 60               Divide by 2

x = 60/2

x = 30

The height of the triangle is derived from sin(30) = opposite / hypotenuse

sin(30) = 1/2

hypotenuse = 24

1/2 = opposite / hypotenuse

1/2 = opposite / 24                      Multiply both sides by 24

1/2 * 24 = opposite

opposite = 12

The height = 12

r = 24

Area of the triangle = 1/2 * 12 * 24

Area of the triangle = 144

So the area of the shaded area = 192*pi - 144 which looks like B

8 0
3 years ago
Help me please thanks
Vilka [71]
The answer is

2x - 3 + 15 / 5x + 1
A is the answer
5 0
3 years ago
Solve this proportion: 1/c+5=2/3
Fittoniya [83]
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\frac{1}{c+5} = \frac{2}{3} \\\\2(c+5) =3\\\\2c+10=3\ \ |\ subtract\ 10\ to\ both\ sides  \\\\ 2c=3-10 \\\\2c=-7 \ \ | \ divide \ both \ sides\  by\  2 \\\\c=-\frac{7}{2}\\\\c=-3.5
6 0
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