1) Solve for Side A

2) Solve for Angle B

1) Solve For Side A2) Solve For Angle B

Answers

Answer 1

Answer:

1) 42.51

2) 39.76

Answer 2

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46


Related Questions

A cell phone company charges a flat rate of $2.50 per month, with an additional charge of $0.15 per minute. How many minutes did Laura talk on her cell phone if her monthly bill was $72.25?

Answers

Answer:

465 minutes

Step-by-step explanation:

First things first, you have to make an equation! It would be...

2.50+0.15m=72.25

Keep in mind that m stands for minutes.

Now let's solve it!!

First let's subtract 2.50 from both sides.

0.15m=69.75

Now, let's divide 0.15 on both sides!

m= 465

465 minutes!!

Hope this helped!! :D

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

the power of a should be 3.

Identify the polygon that has vertices J(12,−4), U(0,−4), S(4,3), and T(8,3), and then find the perimeter and area of the polygon.

Answers

Answer:P= 16 + 2\|65 units; A= 56 units2

Step-by-step explanation:

Solve the simultaneous equations
x
+
y
=
5
x
=
1
+
y

Answers

Answer:

Step-by-step explanation:

Givens:

Eq. 1 )  x + y = 5

Eq 2 )  x = 1 + y  

plug x into Eq 1 from Eq 2

(1+y) + y = 5

algebra them out

2y = 4

y = 2

then

x + 2 = 5

x = 3

14 cm
9 cm
10 cm
What is the area of the parallelogram?
A
1260 sq cm
B
140 sq cm
С
90 sq cm
D
70 sq cm

Answers

Answer:

b140

Step-by-step explanation:

14*10=140 that's all

Answer:

the answer is B

Step-by-step explanation:

because 14*10 is 140

The diagonals of a square bisect the opposite angles.

Would that statement be True or False?

Answers

Answer:

the statement will be true

The answers would be true

True or False The slope of a line can be found by finding the quotient of the change in y and the change in x.

Answers

Answer:

false

Step-by-step explanation:

Answer fast Use the net to determine the total surface area
270 in
310 in
330 in
350 in

Answers

Answers is 1000 in. Hope this helped

pleaseeee helppp mee!!!!

Answers

Answer:

C

Step-by-step explanation:

If each of the 4 siblings expect to pay the same (share equally), then y is the cost of the meal, 3 is the extra fee for each meal, so each expects to pay  y + 3 for a meal.  Figure C shows 4 such payments, all equal to each other.

PLEASE HELP ME IF YOU CAN, I REALLY NEED IT! THANK YOU!!

The diameter of a circle is 69 yards. The circle's circumference is about ___ yards.

Use 3.14 for ​

Answers

Step-by-step explanation:

diameter=69

radius=diameter/2=34.5

circumference=2πr

2×3.14×34.5216.66 yards

stay safe healthy and happy..

Which is a number that can be written as a fraction in the form /?

Answers

Answer:

the third one/second one

Step-by-step explanation:

jogging burns 21 calories in 10 minutes determine how many calories are burned per hour?

Answers

Answer:

126 burned calories per hour

There are 60 minutes in 1 hour, so ir you multyply 21 x 6 your answer will be 126.

Answer:

126

Step-by-step explanation:

there are 60 minutes in an hour so divide 60 by 10 to get 6 and multiply by 21 to get 126

If anyone wants to do these, here you go! P.S. I already did these and the first person to get them all correct gets a brainiest.

Answers

Answer:

5. 1/9? 6. -22? 7. -2? 8. -15? 9. -5? 10. 5?

Brandon left at 2:10 p.m. to walk to the park. It took him 7 minutes to walk there.
What time did Brandon get to the park?
O A. 2:17 p.m.
B. 3:07 p.m.
C. 7:03 p.m.
D. 9:10 p.m.

Answers

Answer:

A. 2:17 p.m.

Step-by-step explanation:

7 minuets more than 10 minuets is 17.

Answer:

A 2:17

7 minutes plus 10 is 17 so it would be 2:17

someone please helppp

Answers

Answer:

you can use SSA to prove congruence. side DE and AB are congruent, and C and F are both right angles

Answer:

yes, that information is sufficient

Step-by-step explanation:

when y is given, you can prove that the triangles are congruent by RHS axiom. R- right angle H-hypotenuse S- side

Find a point 1/5 of the way between points A (-6,-4) and B (-1,6).

Answers

9514 1404 393

Answer:

  (-5, -2)

Step-by-step explanation:

That point P can be found from ...

  P = A + 1/5(B -A)

  P = (4/5)A +(1/5)B = (4A +B)/5

  P = (4(-6, -4) +(-1, 6))/5 = (-24-1, -16+6)/5 = (-25, -10)/5

  P = (-5, -2)

Answer:

the answer is (-5,-2)

Step-by-step explanation:

:))

Find the number of ways the digits 0,1,2 and 3 can be permuted to give rise to a number greater than 2000​

Answers

Answer:

12

Step-by-step explanation:

You have to have the 2 or 3 as the first digit.

After that, the other 3 digits can be done in 3! = 6 ways.

So, the total is 2*3! = 12

the answer is 12 heheieej

What is the volume of a cylinder with a base radius of 7in. and a height of 12in?

Answers

Answer:

1847.26 cubic inches

Step-by-step explanation:

The volume of a cylinder is given by the formula:

V = Ah

Where V is the volume of the cylinder, A is the area of the base, and h is the height of the cylinder. The area of the base can be shown as the formula for the area of a circle:

A = πr²

Where r is the radius of the circle.

Now, find the area of the base of the cylinder:

A = π(7)²

A = 153.93804

Next, plug this value into the equation for volume, substituting h for the height of the cylinder; 12 inches.

V = 153.93804(12)

V = 1847.26

Volume is given in cubic units, and the units for this cylinder are inches, so this cylinder has the following volume:

1847.26 cubic inches

Custodian at Movie Theater
pay:$9.95
per hours: 15.25 hours per week
how much do they make in a-
week_
month_
year_​

Answers

Answer:

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Step-by-step explanation:

Custodian at Movie Theater

pay:$9.95

per hours:

15.25 hours per week

How much do they make in

1) a- week

1 week = 15.25 hours

Hence,

1 hour = $9.95

15.25 hours = x

Cross Multiply

x = 15.25 × $9.95

x = $151.7375

Approximately = $151.74

2) A month

There are 4 weeks in a month

1 week = $151.74

4 weeks = x

Cross Multiply

x = 4 × $151.74

x = $606.96

3) A year

There are 52 weeks in a year

Hence,

1 week = $151.74

52 weeks = x

Cross Multiply

x = 52 × $151.74

x = $7890.48

Therefore, they made in :

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

What is the exact value of CSC -60
(CSC = Cosecant)

Answers

Answer:

Solution given:

cosec 60=1/sin60=1/[√3/2]=2/√3 or ⅔√3

a recipe calls for 5/8 cup of sugar for every 5 teaspoons of vanilla. what is the unit rate in cups per teaspoon

Answers

Answer:

1/8 cups per teaspoon

Step-by-step explanation:

5/8 cup sugar per 5 teaspoons of vanilla

(5/8 ) divide in 5 will give us how much per 1 teaspoon

(5/8)/5 = (5/8) * (1/5) = 5*1/ 8*5 = 1/8

Which of the following are quadrilaterals?
[A] triangles
[B] pentagons
[C] parallelograms
[D] none of these

Answers

Answer:

C

Step-by-step explanation:

beccause it has four sides

(quad) ,

THE ANSWER TO THE QUESTION IS C

Please help AND NO LINKS OR U WILL BE REPORTED!
Identify the reference angle ∅ for each given angle, Ф.

When Ф = 300°, ∅=______degrees
When Ф = 225°, ∅=______ degrees
When Ф = 480°, ∅=______degrees
when Ф = -210°, ∅= ______ degrees

Answers

Answer:

See below for answers

Step-by-step explanation:

300° is in Quadrant IV, so its reference angle is 360°-300°=60°

225° is in Quadrant III, so its reference angle is 225°-180°=45°

480°=120° is in Quadrant II, so its reference angle is 180°-120°=60°

-210°=150° is in Quadrant II, so its reference angle is 180°-150°=30°

What is the distance between two points(2,-6)(-7,1)

Answers

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex](x_{1}, y_{1} )[/tex] is your first set of coordinates : (2, -6)

[tex](x_{2}, y_{2} )[/tex]is your second set of coordinates : (-7, 1)

What is the area of the figure?

Answers

Answer:

252 square inches.

Step-by-step explanation:

Split the Cube into three shapes.

You can make the biggest cube 12 by 15 and mutliply those together.

That would be 180.

Now you are left with 2 other smaller cubes.

3 * 6 = 18

6 times 9 = 54

The Final Answer is 252 square inches.

Jesus deposited $10,000
into a savings account.
He gets 0.1% in interest
over 5 years. What is the
total amount in interest
that Jesus gets?

Answers

300 because u have to dived and take away 50 from it

Stephanie spent $16 on product and supplies for a lemonade stand. She charged $2 for a cup of lemonade. The graph below can be used to represent Stephanie's profit, y, after selling x number of cups of lemonade.

Answers

Answer:

A. The y-intercept represents the amount of money Stephanie has. She started at -16 because she spent $16.

B. The x-intercept is the amount of cups of lemonade she sold. On the graph, it shows that after 8 cups, she made 16 dollars back. She didn't make any profit sense she started at -16.

C. The slope represents how much she made after so many cups of lemonade were sold. It was after 8 cups of lemonade were sold that she started making a profit.

Step-by-step explanation:

Write the equations of each line in slope-intercept form.

Answers

Answer: is this history

Step-by-step explanation:

What are the steps to solving the area of this compound shape?

Answers

Step-by-step explanation:

2Li+2H2O—>2LiOH+H2

Calculate the mass of reacted lithium when H2 is 6.02 * 10 ^ 23 molecules.

I really need the answer with all the calculation please.

Gerardo makes $18 per hour at Starbucks. Tomorrow he is going to receive a raise totalling 20% of his hourly wage. What will he be making per hour straying tomorrow.

Answers

to get his wage for the next day, you would do 18x1.2, which equals 21.6, so he would now be making $21.6 per hour.

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