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frez [133]
2 years ago
6

Follow the steps to find the

Mathematics
1 answer:
KIM [24]2 years ago
6 0

The area of the sector rounded to 4 decimal place is 78.6396 cm²

<h3 /><h3>How to find the area of a sector?</h3>

area of sector = ∅/ 360 × πr²

Therefore,

  • r  = radius
  • ∅ = 46 degrees.

Hence,

area of a sector = 46 / 360 × 3.14 × 14²

area of a sector = 46 / 360 × 3.14 × 196

area of a sector =   46 / 360 × 615.44

area of a sector =   28310.24 / 360

area of a sector = 78.6395555556

Hence,

area of a sector = 78.6396 cm²

learn more on sector here: brainly.com/question/27946869

#SPJ1

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What is the area of this<br> parallelogram?
saveliy_v [14]

Answer:140ft2

Step-by-step explanation: area= base times height

                                             Area=14ft . 10ft

                                             Area=140ft2

8 0
2 years ago
Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f
Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

P(A) = 0.1*0.8 + 0.25*0.2 = 0.13

Probability that a student is foreign and undergraduate:

10% of 80%. So

P(A \cap B) = 0.1*0.8 = 0.08

What is the probability that the student is an undergraduate?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154

0.6154 = 61.54% probability that the student is an undergraduate

8 0
3 years ago
Evaluate the expression 2ab 3+ 6a 3 - 4ab2 when a=2 and b=4.<br> a.176<br> b.180<br> c.215<br> d.216
Tom [10]
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 × 2^{6} + 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 × 2^{6} + 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 × 2^{6} + 3 × 2³ -2^{6})
Collect the like terms with a base of 2.
2(2^{6} + 3 × 2³)
Evaluate the power of 2³.
2(2^{6} + 3 × 8)
Evaluate the power of 2^{6}.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
5 0
3 years ago
In football, a kicker can score one point for the extra-point on a touchdown or three points for a field goal.
White raven [17]
I am not sure but i will try to help

In football, a kicker can score one point for the extra point on a touchdown or three points for a field goal. logan is a kicker for his high school football team. the record number of points scored by a kicker in a single game is 24
3 0
3 years ago
Tao Bergolts bank granted him a single-payment loan of $4,400 at an interest rate of 12 percent. The term of the loan is 172 day
jolli1 [7]

Answer: $ 14736 (approx)

Step-by-step explanation:

Since,  Maturity value is the amount payable to an investor at the end of a holding period of debt instrument.

And, It is defined as, V= P(1+r)^n

Where, P is the principal amount,

r is the interest rate

And, n is the time period.

Here, P=  $4,400 r=  12 % and n = 172/365

Thus, Maturity value for this loan,

V = 4400(1+12)^{172/365}

⇒V= 4400 × 3.34908932078 = 14735.9930114 ≈ 14736


6 0
3 years ago
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