Solve the triangle.

B = 36°, a = 38, c = 18

Answers

Answer 1

Answer: Using cosine law.

b= sqrt(38^2 + 18^2 - 2(38)(18) Cos 36)
using calculator solve.
b = sqrt (1444 + 324 - 1106.75)
b = 25.75

Answer 2

Answer:

Finishing the answer above:

B=36

a=38

c=18

b=25.7

a-b-c (SSS) {a^2=b^2+c^2-2ab(CosA) [Law of Cosines]

38^2=25.7^2+18^2-2(25.7)(18)(CosA)

1444=660.49+324-925.2(CosA)

1444=984.49-935.2(CosA)

459.51=-935.2(CosA)

-0.491349443969204=CosA

A=119.43

b-B-C (SAA) {(SinC)/c=(SinB/b)} [Law of Sines]

(SinC)/18=(Sin36)/25.7

(SinC)/18=0.022871021489979

SinC=0.411678386819631

C=24.31

A=119.43

B=36

C=24.31

a=38

b=25.7

c=18

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Marie Daggett went to her bank each week and opened a club account. She deposited $21.75 per time period. If she made 12 deposits before interest was credited, how much would she have deposited before interest was credited?

Answers

Answer: $261.00

Step-by-step explanation:

Given: The amount Marie Daggett deposited per time period = $21.75

The number of deposits she made before interest was credited= 12

Therefore, the total amount she would have deposited before interest was credited= $12*\$21.75$

Hence, the total amount she would have deposited before interest was credited= $\$261.00$

she goes 12 times to the bank and made a deposit of $21.75 each time, therefore she have deposited:

deposit = 12*21.75 = $261

The antagonist usually brings __________ to the __________.peace . . . main character
irony . . . plot
conflict . . . protagonist
resolution . . . setting

Answers

The correct answer would be conflict and protagonist. The antagonist usually brings conflict to the protagonist. A protagonist is the main character in the story who always embodies the good character and always brings peace and order in the story. An antagonist is the character in the story that acts as the enemy or opponent of the protagonist who is always against his/her intentions.

conflict . . . protagonist

Hope it helps

1. What is the slope of the line that passes through the points (-2, 5) and (1, 4)?a. -3
b. -2
c. -1/3
d. 1/3

2. A line has a slope -5/3. Through which two points could this line pass?

a. (12,13) (17, 10)
b. (16, 15) (13, 10)
c. (0, 7) (3, 10)
d. (11, 13) (8, 18)

3. The pair of points (6,y) and (10, -1) lie on a line with slope 1/4. What is the value of y?

a. -5
b. -2
c. 2
d. 5

4. What is the slope of a vertical line?

a. -1
b. 0
c. 1
d. Undefined

5. The table below gives the best cost per person to rent a fishing charter boat. Find the rate of change given that it is a constant. Also explain what the rate of change means for this situation.

People l Cost ($)
2 l 110
3 l 165
4 l 220
5 l 275

a. 1/55
b. 110/1
c. 1/275
d. 55/1

Answers

1. (-2,5)(1,4)
slope = (4 - 5) / (1 - (-2) = -1 / 3

2. (11,13)(8,18)

3. (6,y)(10,-1)
slope = (-1 - y) / (10 - 6) = (-1- (-2) / 4 = 1/4
y = -2

4. undefined

5. (2,110)(3,165)
slope = (165 - 110) / (3 - 2) = 55/1
this basically means that to rent a charter boat, it will cost 55 per person

At 8:00 am, a building casts a shadow 75 feet long. The angle where the ray from the sun met the ground is 50°. How tall is the building?

Answers

the angle of elevation of shadow from building is 50 degrees
tan 50=height of building/length of shadow=h/75
h=75tan50=75(1.192)=89.38 feet
the height of the building is 89.38 feet

Solve by using the perfect squares method.* x2 – 12x + 36 = 0

Answers

$x^2 -12x + 36 = 0\n \n (x-6)^2= 0 \n \n x-6=0 \n \n x=6$

x2 - 12x + 36 = 0
x2 - 2*x*6 +6^2 = 0
(x-6)^2 = 0
x-6 = 0
x = 6

Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93.5. Which of the following correctly depicts the z-statistic for this data?0.28
0.36
1.98
2.63