Can y'all help me please!

Alekssandra [29.7K]

(5 / 3) * PI = 300 degrees
Sector area = (central angle (degrees) / 360) * PI * radius^2
Sector area = (300 / 360) * 3.14 * 36
Sector area = (5/6) * 3.14 * 36
Sector area = 30 * 3.14
Sector area = 94.2 square feet

Source: http://www.1728.org/radians.htm

8 0

4 years ago

Multiply and simplify the following complex numbers? (4- 2i).(-5 +4i)

Ronch [10]

Answer:

-12 +26i

Step-by-step explanation:

Multiple using the FOIL Method, then combine the real and imaginary parts of the expression.

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7 0

3 years ago

There are 320 students in a school. 16 come to school by car. 96 walk to school. Estimate the probability that a particular stud

lorasvet [3.4K]

Answer:

a. The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

$P(A)=\frac{number of favorable cases}{number of possible cases}$

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: $P(A)=\frac{16}{320}$

P(A)= $\frac{1}{20}$ = 0.05, which equals 5%

The probability that a particular student arrives by car is $\frac{1}{20}$ = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: $P(A)=\frac{96}{320}$

P(A)= $\frac{3}{10}$ = 0.3, which equals 30%

The probability that a particular student walks to school is $\frac{3}{10}$ = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: $P(A)=\frac{224}{320}$

P(A)= $\frac{7}{10}$ = 0.7, which equals 70%

The probability that a particular student does not walk to school is $\frac{7}{10}$ = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: $P(A)=\frac{208}{320}$

P(A)= $\frac{13}{20}$ = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is $\frac{13}{20}$ = 0.65, which equals 65%.

6 0

3 years ago

Im not really good at seventh grade math I need some help!!

Darina [25.2K]

Answers:

1/2a= 8

Multiply by 2/1 on both sides

1/2(2/1)a= 8(2/1)

Cross out 1/2 and 2/1 equals to a

a= 16

4n= 32

Divide by 4 for both sides

4n/4= 32/4

n= 8

3x= 36

Divide by 3 for both sides

3x/3= 36/3

x= 12

m/3= 2

Multiply by 3/1 for both sides

3/1*m/3= 2(3/1)

Cross out 3/1 and 3 becomes m

m= 6

x-8= 12

Move -8 to the other side. Sign changes from -8 to +8

x-8+8= 12+8

x= 20

48= 3k

Divide by 3 for both sides

48/3= 3k/3

k= 16

13/b= 0

Multiply by 1/13 for both sides.

13/b( 1/13)= 0(1/13)

b= 0

39= 13y

divide by 13 for both sides

39/13= 13y/13

y= 3

5 0

3 years ago

Rearrange the formulae to make x the subject: ay/x - dx= wx Thanks in advance

Lina20 [59]

Answer:

$\frac{ay}{x} - dx = wx$

multiply x through out:

$ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay$

factorise out x²:

${x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d}$

take square root on both sides:

$\sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} }$

3 0

3 years ago

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