In the following triangle, find the values of the angles B and B, which are the
best approximations to the solutions to this ambiguous case?
10
8.2
8.2
)45°
B
BY
A. B = 55° or B = 125°
B. B = 67° or B = 102.2°
C. B = 62.4° or B = 117.6°
D. B = 59.6° or B = 120.40

In The Following Triangle, Find The Values Of The Angles B And B, Which Are Thebest Approximations To

Answers

Answer 1

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

Answer 2

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

What is triangle ?

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

[tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}[/tex]

So,

According to the given triangle,

We get,

[tex]\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}[/tex]

We get,

[tex]Sin B=\frac{Sin 45^0}{8.2} *10[/tex]

On solving we get,

[tex]SinB= 59.58^0\ \ or\ \ SinB= 120.42[/tex]

i.e.

[tex]SinB= 59.6^0 \ \ or\ \ SinB'= 120.40[/tex]

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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Related Questions

2 / 7 - x = 5/4 what is the value of 'x'​

Answers

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7      -2/7

    x=27/28

The relationship between the number of pounds (lb) of trail mix and the price
in dollars is shown in the graph. What is the unit price of trail mix?


A. 1 lb/$8
B. $8/1 lb
C. $1/8 lb
D. $16/2 lb

pls answer quickly since this is a quiz :)) picture included above

Answers

i think it should be B, let me know if it’s right

please help me didn’t show up

Answers

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

The function m is given in three equivalent forms. Which form most quickly reveals the vertex

Answers

Answer:

m (x) = -2(x-6)^2 +18

Step-by-step explanation:

Solve this equation
√x - 7= √x - 7​

Answers

Answer:

Search on mathaway

Step-by-step explanation:

Just use photomath lollll

two cords.
AD=92 and BC=140
What does m

Answers

Do you have a visual I can go based off of?

Factor the following trinomial:

Answers

Answer:

D

Step-by-step explanation:

Given

n² - n - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the n- term (- 1)

The factors are - 7 and + 6 , since

- 7 × + 6 = - 42 and - 7 + 6 = - 1 , then

n² - n - 42 = (n - 7)(n + 6) ← in factored form

Solution :-

Given,

n^2 - n - 42

We need to factorise it.

So let's start !!

Two factors are -7 and 6.

Therefore,

n^2 - 7n + 6n - 42 n (n - 7) + 6 (n - 7) (n - 7) (n + 6)

A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters

PLEASE NO LINKS!

Answers

Answer:

154 m^2

Step-by-step explanation:

Area of a circle:  A = (pi)(radius)^2

Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2

shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on saturday he earned at least $160 in all.Write an inequality and find the minimum number of hours to the nearest hour

Answers

Answer:

Write the equation of each inequality. 5. 6 ... What are the smallest values of consecutive integers that will make this true. ... Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He needs to earn $160 in all. To the nearest hour, what is the least number of hours Stan.

Step-by-step explanation:

Inequalities Exit Ticket Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday. He earned at least $160 in all. Write an inequality and find the minimum number of hours, to the nearest hour, ... additional $100 in tips waiting tables on Saturday He earned at least $160 in all

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

Given that, Shnaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday he earned at least $160 in all.

What is a inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of hours be x.

Now, 7.55x+100≥160

Subtract 100 on both the sides of inequality, that is

7.55x+100-100≥160-100

⇒ 7.55x≥60

Divide 7.55 on both the sides of inequality, that is

7.55x/7.55 ≥ 60/7.55

⇒ x ≥ 7.94

7.94≈8

The inequality for the given situation is 7.55x+100≥160. Therefore, the minimum number of hours x ≥ 8.

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Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?

Answers

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

please help! odfpfpsdfsdlfsdfnlkfn pleaseeeeee

Answers

Answer:

x = 13

Step-by-step explanation:

Since the two given angles are vertical angles, we know (5x) = 65.

Divide both sides by 5 : 5x = 65    and we get x = 13

                                             5

PLEASE HELP I don't understand this stuff yet. Brainliest give away!

Answers

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

Pls help. Due in 5 mintues pls.

Answers

It would be 18 days because you would have to look at the factors of 6 and 9. 6 times 3 is 18 and 9 times 2 is 18. Both have 18 in common in the first 2/3 numbers. Hopefully this makes sense.

Identify fractions greater than 3/5

Answers

not sure on the options but any fraction that when you divide is greater than .6 ( divided 3/5) would work!

Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.

Answers

Answer:

The answer is already in the correct formation, there is nothing to change.

Answer:

 the person above is right.

10) What is the value of x in the figure below?

Answers

Answer:

x=68

Step-by-step explanation:

let y equal the vertical angles

49+55+ y= 180

y=76

vertical angles are equal

35+76+x=180

x=68

 What is the volume of this cone?

Answers

Answer:

C) volume = 84.8 m³

Step-by-step explanation:

volume = 1/3πr²h = 1/3(3.14)(3²)(3) = 84.8 m³

Answer:

[tex]volume = 28.3m^3[/tex]

Step-by-step explanation:

[tex]volume \: of \: cone = \frac{1}{3} \times 3 \times 3.14 \times { 3}^{2} = 28.3{m}^{3} [/tex]

If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

La suma de tres ángulos iguales es igual a 254° 25´ 54” ¿Cuánto mide cada uno de ellos?
La suma de dos ángulos es igual a 76° 35´. Si uno de ellos mide 27° 43´36”. ¿Cuánto mide el otro?
Porfa y gracias

Answers

Answer:

ugxitskydkydmyydktdlydoyzlyzittxltzljxkg

Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?

A.
(-3, 0)

B.
(2, -5)

C.
(-3, -10)

D.
(2, -10)

Answers

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Flora drew the following graph to answer the question. What was her mistake when she drew her graph? (NO LINKS)

Answers

Answer:

Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

How long is a string reaching from the top of a 13-ft pole to a point on the 3 points ground that is 7 ft from the base of the pole?

Answers

Answer:

14.76 ft

Step-by-step explanation:

L²= 13² + 7²

L² = 169 + 49 = 218

L = √218 = 14.76 ft

Answer:

14.8

Step-by-step explanation:

We use the Pythagoras theorem because the string and the pole are making a right angle triangle

7^2+13^2=c^2

49+169=c^2

218=c^2

14.8=c

You have read 25 pages of a book. You plan to read an additional 10 pages each night. Write the explicit formula to represent the number of pages you will read after n nights.

Answers

Answer:

p=10n+25

Step-by-step explanation:

Let's have p represent the number of pages you will read. If you read 10 pages per night, then you are multiplying 10 by the number of nights, which gives you 10n. Because you have already read 25 pages, you want to add to the 10n to give you the equation of p=10n+25

Answer:

Pages= 25 + 10n

Step-by-step explanation:

Since the starting point is 25, that remains constant. 10n represents 10 pages per night.

please help


dgfhkcgfkgnglhgdh

Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45

Please help I have been stuck for a while now

Answers

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

David and his dad are building a room in the basement. They want the
room to have an area of 150 ft?. If one wall is 11.25 ft. long, how long must the other
wall be? Show your work.

Answers

Since you’re trying to find the area the equation would be 150=11.25x and you divide by 11.25 to get x alone and you would get 13.33333 so about 13 1/3

solve for x
20
33
14

Answers

Step-by-step explanation:

by basic proportionality therom

x/33=14/20

20×x=14×33

20x=462

x=462/20

x=23.1

The value of x from the triangle is x = 22.1

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the triangle be ABC and ADE

The triangles ΔABC ≅ ΔADE

Now , Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

So , the ratio of the sides will be

AD / AB = AE / AC

Substituting the values in the equation , we get

14 / 20 = x / 33

Multiply by 33 on both sides of the equation , we get

The value of x = ( 14 x 33 ) / 20

The value of x = 462 / 20

The value of x = 23.1

Therefore , the value of x is 23.1

Hence , The value of x from the triangle is x = 22.1

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It is customary to leave a 15% tip for a waiter/waitress. Suppose your meal costs $22.50, What would you tip the wait person? How much totalwould you pay for the meal?

Answers

Answer:

$25.88

Step-by-step explanation:

Given data

Cost of meal= $22.50

Tip= 15%

Let us find 15% of $22.50

=15/100*22.50

=0.15*22.50

=3.375

Hence the amount you would pay in total is

=3.375+22.5

=$25.88

Which speeds are equal to 1/2 mile per hour? Mark all that apply.
5/6 mile/5/12 hour
1/4 mile / 1/2 hour
1/10 hour / 1/5 mile
3/8 mile / 3/4 hour
2/3 hour / 1/3 mile
4/5 mile / 4/10 hour
/

Answers

answer :

3/8 mile / 3/4 hour

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