MATHEMATICS HIGH SCHOOL

The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.14°
28°
42°
71°

Answers

Answer 1
Answer:

Answer:

The measure of angle C is 28°

Step-by-step explanation:

Given the area of triangle ABC is 3√2 square inches.

we have to find the measure of angle A if b=9 m and c=2 m

As area of triangle can be calculated as

Area=(1)/(2)* b* c* \Sin C

3\sqrt2=(1)/(2)* 9* 2* \sin C

\sin C=(3\sqrt2 * 2)/(9* 2)=(\sqrt2)/(3)

C=sin^(-1)((\sqrt2)/(3))=28.125\sim 28^(\circ)

Option 2 is correct.
Answer 2
Answer: The answer is 28 degrees. 

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The government’s claims that students earn an average of $4,500 during their summer break from studies. A random sample of students gave had a sample average of $3,975 and a 95% confidence interval was found to be $3,525 < µ < $4,425. This interval is interpreted to mean that:a. because our specific confidence interval does not contain the value $4500 there is a 95% probability that the true average summer earnings is not $4500.b. if we were to repeat our survey many times, then about 95% of all the confidence intervals will contain the value $4500.c. if we repeat our survey many times, then about 95% of our confidence intervals will contain the true value of the average earnings of students.d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Answers

Answer:

d. there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

Step-by-step explanation:

95% confidence interval  $3,525 < µ < $4,425 suggests that (choice d) there is a 95% probability that the true average earnings are between $3525 and $4425 for all students.

This result also suggests that (choice a) the true average summer earnings is not $4500, because our specific confidence interval does not contain the value $4500. But 95% probability is about the interval $3,525 < µ < $4,425, not the value $4500.  

(A) this relation is a function

(B) this relation is not a function

Answers

Answer:

(b) this relation is not a function because this relation is a one to many ,functions are only many to one and one to one

what is the ratio of 9:45, 19:38, 24:40, 14:28, 8:20, 15:20, 9:15, 19:180, 18:27, 36:60, 12:30, 32:54, 13:65, 15:30, 12:15, 12:20.

Answers

9 : 45 =  3 : 15 = 1 : 5
19 : 38 = 1 : 2
24 : 40 = 12 : 20 = 6 : 10 = 3 : 5
14 : 28 = 1 : 2
8 : 20 = 4 : 10 = 2 : 5
15 : 20 = 3 : 4
9 : 15 = 3 : 5
19 : 180 = 19 : 180
18 : 27 = 6 : 9 = 2 : 3
36 : 60 = 18 : 30 = 9 : 15 = 3 : 5
12 : 30 = 4 : 10 = 2 : 5
32 : 54 = 16 : 27
13 : 65 = 1 : 5
12 : 15 = 4 : 5
12 : 20 = 6 : 10 = 3 : 5

Need help I'm super confused

Answers

Angles 1 and 4 need to be congruent, as if they are equal then that means angles 2 and 3 are also equal :)

A store buys an item for $50 and marks it up 100%. What is the price?

Answers

Answer

     = $100


Explanation

Profit =  selling price  -  buying price

percentage profit = profit/buying price × 100%

100% = profit /$50

Profit = 100% × $50

           = 100/100 × $50

             = 1 × $50

              = $50

Selling price = buying price + profit

                     = $50 + $50

                     = $100

$100 

100% would be doubling it.

How do I solve 2x+3y=7, x-y=1

Answers

2x+3y=7
x-y=1

2x+3y=7
x=1+y

2*(1+y)+3y=7
x=1+y

2+2y+3y=7
x=1+y

5y=5       |(:5)
x=1+y

y=1
x=2

CHECK:
2x+3y=7
x-y=1

2*2 + 3*1 = 7     

x-y = 1
2-1 = 1
2x+3y=7                                               
2(2)+3y=7                                                                                              
4+3y=7
subtract 4 from both sides                  
3y=3                                             
divide both side by 3                          
y=1
 
2x+3y=7
2x+3=7
2x+3y=7
subtract 3y from both sides
2x=7-3y
divide both side by 2
x=3.5-1.5
x=2                                     

then you do the x-y=1

x-y=1
2-1=1
1=1

in the end both answers are 1 so that means that i did it right. that means that x=2 and y=1
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