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makvit [3.9K]
2 years ago
5

Solve: I -12 I - I 3 I =

Mathematics
2 answers:
Alborosie2 years ago
8 0

Answer: A

Step-by-step explanation:

-12 is made positive so the equation is turned to 12-3 which is 9

hammer [34]2 years ago
7 0

Answer:

d

Step-by-step explanation:

You don't need a exp so put the answer in

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Calculaye the perimeter and area of these composite shapes
lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

A = a * b

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2

Thus, the total area isA_ {t} = 156 \ cm ^ 2

Answer:

The perimeter of the figure is 64 centimeters.

A_ {t} = 156 \ cm ^ 2

4 0
3 years ago
A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually.
Ghella [55]
A) A=500(1+0.015)^t
b)800=500(1.015)^t
800/500=1.015^t
t=log(800/500)/log(1.015)
t=31.6 years
3 0
3 years ago
A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you
lorasvet [3.4K]

Answer:

Step-by-step explanation:

The first step is to determine the areas of the inner and the bigger circles.

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents the radius of the circle.

π is a constant whose value is 3.14

Considering the inner circle,

diameter = 148.4 cm

Radius = 3 inches

Area = 3.14 × 3² = 28.26 inches²

Considering the bigger circle,

Radius = 7 inches

Area = 3.14 × 7² = 153.86 inches²

The area between the bigger and inner circles is

153.86 - 28.26 = 125.6 inches²

Probability = number of favourable outcome/number of total outcome.

the probability you land inside the bigger circle but outside smaller circle is

125.6/153.86 = 0.82

3 0
3 years ago
Find the factorization of each of the following number:<br> A.18 B.24 C.38 D.81
const2013 [10]

Answer:

A: (3^2)*2

B: (2^3)*3

C: 2*19

D: (3^2)*9

Step-by-step explanation:

We have:

A) 18= 3*3*2= (3^2)*2

B) 24=2*2*2*3=(2^3)*3

C) 38 = 2*19

D) 81 =3*3*9=(3^2)*9

6 0
3 years ago
Teacher's salaries in Georgia are normally distributed with an average salary of $52,000 with a standard deviation of $12,000. W
suter [353]

Answer:

81.85%

Step-by-step explanation:

We have the following information:

mean = m = 52000

standard deviation = sd = 12000

a = 40000

b = 76000

we need to find the probability between a and b, that is:

P (a <x <b) = P (40,000 <x <76000)

P [(40000 - m) / sd <(x - m) / sd <(76000 - m) / sd]

replacing

P [(40000 - 52000) / 12000 <z <(76000 - 52000) / 12000]

P (-1 <z <2)

P (z <= -1) - P (z <= 2)

We look for this value of z, in the attached table:

0.9772 - 0.1587

P = 0.8185

In other words, the probability is 81.85%

8 0
3 years ago
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