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3 years ago

If a circle has a diameter of 30 meters, which expression gives its area in

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

C. 15²π

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Diameter: d = 2r
Area of a Circle: A = πr²

Step-by-step explanation:

Step 1: Define

d = 30 m

Step 2: Find Area

Substitute [D]: 30 m = 2r
Isolate r: 15 m = r
Rewrite: r = 15 m
Substitute [AC]: A = π(15 m)²
Rearrange: A = 15²π

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Working her way through school, Kathy works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Jo

trapecia [35]

Answer:

Kathy worked 11 hours at job A and 12 hours at job B, the week she made US$ 146.70.

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Rate per hour of Job A = US$ 5.70

Rate per hour of Job B = US$ 7.00

Earnings received by Kathy during the week = US$ 146.70

Total time worked by Kathy during the week = 23 hours

Hours at job A = x

Hours at job B = 23 -x

2. Let's find how many hours Katy worked at each job:

This is the equation that we'll use:

5.70x + 7 (23 - x) = 146.70

5.70x + 161 - 7x = 146.70

- 1.3x = 146.70 - 161 (Subtracting 161 at both sides)

-1.3x = - 14.30

1.3x = 14.3 (Multiplying by - 1 at both sides)

x = 14.3/1.3 = 11 (Dividing by 1.3 at both sides)

Kathy worked 11 hours at job A and 12 hours at job B.

3. Proof of x = 11

5.70 x + 7 (23 - x) = 146.70

5.70 (11) + 7 (23 - 11) = 146.70

62.70 + 7 (12) = 146.70

62.70 + 84 = 146.70

146.70 = 146.70

The value of x = 11 is correct.

Note. I provided the same answer to question 13954115.

3 0

3 years ago

Please help I’ll mark you as brainliest if correct!

Harrizon [31]

Answer:

45 matches up in enough hours yes so G!

The answer is g!

Step-by-step explanation:

Hope i helped! Your welcome!

7 0

2 years ago

Read 2 more answers

Find x. special 17 A. 22 B. 113√2 C. 116√2 D. 33

vladimir1956 [14]

The value of x in the triangle is (a) 22

<h3>How to solve for x?</h3>

The complete question is in the attached image.

From the attached image of the triangle, we have:

$\sin(45) = \frac{x}{22\sqrt 2}$

Evaluate sin(45)

$\frac{1}{\sqrt 2} = \frac{x}{22\sqrt 2}$

Solve for x

$x = \frac{22\sqrt 2}{\sqrt 2}$

Divide

x = 22

Hence, the value of x is (a) 22

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2 years ago

Find the volume of the pyramid. in.3

Papessa [141]

Answer:

1.5

Step-by-step explanation:

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3 years ago

Instructions: Match each equations with correct type of event.

Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

P(A)P(B|A) - Dependent event
P(A)+P(B) - Mutually exclusive events
P(A and B)/P(A) - Conditional events
P(A) . P(B) - Independent Events
P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

$\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}$

Hence the correct match are -

$\mathrm{P(A)P(B|A)\rightarrow}$ Dependent event
$\mathrm{P(A)+P(B)}\rightarrow$ Mutually exclusive events
$\mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow}$ Conditional events
$\mathrm{P(A) . P(B)\rightarrow}$ Independent Events
$\mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow}$ not Mutually exclusive events.

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2 years ago