State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24

Answers

Answer 1

Answer:

One

Step-by-step explanation:

Find the value of B

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{b}{sin(B)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{24}{sin(B)}[/tex]

sin (B) = [tex]\frac{24}{23}[/tex]Sin(61)

step 2

Find the measure of angle C

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

61 + 65.87 + C = 180

C = 53.13

step 3

Find the value of c

Applying the law of sines

[tex]\frac{a}{sin(A)}[/tex] = [tex]\frac{c}{sin(C)}[/tex]

substitute the given values

[tex]\frac{23}{sin(61)}[/tex] = [tex]\frac{c}{sin(53.13)}[/tex]

c = [tex]\frac{23}{sin(61)}[/tex]SIN (53.13)

C=21.04 units

so

there can only be one value for each measurement, therefore there can only be one triangle

Answer 2

Answer:

The answer is 2 triangles

Step-by-step explanation:

I took the test.


Related Questions

The distance between point A(2,3) and point B(6,1) is ?

Answers

Answer:

[tex]2 \sqrt{5} [/tex]

decimal form: 4.47213595

Answer: 395 km

lol they want it to be 200 characters long what I look like ? Lol

if 60% people in a city like cricket 30% like football and the remaining like other games
. 50 . ​

Answers

Answer:

is that supposed to be a question

cómo se resuelve?

a) 3X+Y=16
5X-Y=24

b) 5X+4Y=35
2X+2Y=16

c) X+Y =21
3X+7Y=107​

Answers

The answer is:

A

Hope that helps you

help please :( help me :)​

Answers

Answer:

0.7

Step-by-step explanation:

-4 - x1

3 - y1

2- x2

-1- y2

-1 - 3

2 - -4

-4

6

-4/6 = 0.7

Answer:

-4/6

Step-by-step explanation:

-1-3/2-(-4)=-4/6

need help with solving equations

Answers

Answer:

1) -2

2) 6

3) -9

Step-by-step explanation:

1)2/5(x+7)=2(x+3)

2/5x+2.8=2x+6

2/5x=2x+3.2

-1.6x=3.2

x=-2

2)2x+6=2/3x+14

2x=2/3x+8

1 1/3x=8

x=6

3)40+2x=6-8x-56

40+2x=-8x-50

90+2x=-8x

90=-10x

x=-9

Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden. What is his unit rate
per hour for weeding these rows of his garden?
The unit rate is
rows per hour or
1.

Answers

Answer:

3 rows/hour

Step-by-step explanation:

It is given that, Jose takes 120 minutes to weed 6 equal rows of vegetable plants in his garden.

120 minutes = 2 hours

We need to find the unit rate per hour for weeding these rows of his garden. It can be calculated as follows :

[tex]R=\dfrac{6}{2}\\\\R=3\ \text{rows/hour}[/tex]

So, the rate for weeding these rows of his garden is 3 rows per hour.

Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation for his upcoming orchestra concert. He spends the other 1/4of the hour practicing scales. If he spends 2/5of his practice time on musical pieces playing one of the orchestra pieces, Excerpts from Pirates of the Caribbean, how much of the hour does he spend playing that music?

Answers

Answer:

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Step-by-step explanation:

Given

[tex]Time = 1\ hour[/tex]

[tex]Musical\ Pieces = \frac{3}{4}\ hour[/tex]

[tex]Practicing\ Sales = \frac{1}{4}\ hour[/tex]

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = [tex]\frac{2}{5}[/tex] of music practice time

Substitute [tex]\frac{3}{4}\ hour[/tex] for music practice time.

So, we have:

[tex]Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour[/tex]

[tex]Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour[/tex]

[tex]Orchestral\ Time = \frac{3}{10}\ hour[/tex]

Find the value of y. images attached.

Answers

Answer:

The answer is option D

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of y

To find the value of y we use tan

[tex] \tan(28) = \frac{y}{35} \\ y = 35 \tan(28) \\ y = 18.6098301...[/tex]

We have the final answer as

18.61

Hope this is helps you

Find the value of x.

X

(x-58)

Answers

Answer:

119 degree

Step-by-step explanation:

The both x and x-58 are coincident to each other so they have sum of 180 degree.

So,

x + x-58 = 180

2x= 180+58

x= (180+58)/2

x= 119

Answer:

As you should know, the sum of angles of any triangle is 180º, as a quadrilater is two times a triangle, the sum of its angles is 360º

So we know the sum of its angles is 180º and we know there are two angles of 90º, one indicated with a square.

The other two angles measuer x and x - 58, and, if we know that they sum 360, we can do an equation.

90 + 90 + x + (x - 58) = 360

122 + 2x = 360

2x = 360 - 122

2x = 238

x = [tex]238/2[/tex]

x = [tex]119[/tex]

Sowe know one angle measueres 119º and the other 61º

In cross country, the team score is determined by the place each individual runner finishes. (For example, 1st place is one point, 16th place is 16 points, etc.) In their latest meet, the boys cross-country team scored 55 points. If there were five runners on the team and each runner finished one after another, what places did they come on? Explain your reasoning and support your answer. *

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that there were five rummers in the team;

Each runner finished one after the other

Total. Points scored =. 55

Let the positions of each runner be :

1sr runner = p

2nd runner =.p + 1

3rd runner =.p + 2

4th runner =.p + 3

5th runner =.p + 4

(1st + 2nd + 3rd + 4th +. 5th) runner = 55

(p + p + 1 + p + 2 + p + 3 + p + 4) = 55

5p + 10 = 55

5p = 55 - 10

5p = 45

p = 9

Hence,

1st runner = 9th

2nd runner = 9 + 1 = 10th

3rd runner = 9 + 2 = 11th

4th runner = 9 + 3 = 12th

5th runner = 9+ 4 = 13th

Reema spends $19.25 on 100 lead pencils. what is the price of one pencils? round the answer to the nearest penny.​

Answers
$0.02
$0.19
$1.93
$19.25

Answers

0.19 it’s B and I know cause it’s common sense

Answer:

0.19 aka B

Step-by-step explanation:

My rank is 27 out of 667 students for my senior class...what rank would I be considered? Top 10th, top quarter, top half, or bottom half. (I filling this out for an app btw)

Answers

The answer would be too quarter:)

Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D

Answers

901

ILY EPICFARTS2021 THANKS FOR ALL THE POINTS

IF f(x) = -3x – 2; FIND f(3)
Your answer
IT fill
TATT

Answers

Answer:

f(3) = -3(3) - 2

Step-by-step explanation:

3f = -3 x 3 -2

3f = -9 - 2

3f = -11

f = 3.6 (rounded)

A hiker started the day at an elevation of 800 feet. He climbed 200 feet in elevation to his first rest stop, hiked down 400 feet in elevation to his second rest stop, and climbed 500 feet in elevation to his third rest stop. What is the average elevation of his three rest stops

Answers

Answer:

The average elevation of his three rest stop is 900 ft

Step-by-step explanation:

The elevation at which the hiker started = 800 feet

The extra height to which he climbed on his first rest stop = 200 feet

The height down which he climbed to his second rest stop = 400 feet

The height to which he then climbed to his third rest stop = 500 ft

Given that the hiker started at 800 ft, we have;

His height at his first rest stop = 800 + 200 = 1,000 ft

His height at his second rest stop = 1000 - 400 = 600 ft

His height at his third rest stop = 600 + 500 = 1,100 ft

Therefore, the average elevation, hₐ, of his three rest stop is given as follows;

hₐ = (The sum of the three elevation)/(The number of elevation)

hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3  = 900 ft

The average elevation of his three rest stop = 900 ft.

Complete the equation of the line through(−6,−5),(-4,-4)

Answers

Answer:

y=ax+b

bring in (-6,-5)

=>-5=-6a+b

=>6a-5=b

bring in (-4,-4)

=>-4=-4a+b

=>4a-4=b

b=6a-5=4a-4

6a-5=4a-4

2a=1

a=1/2

then b=6*(1/2)-5=-2

y=ax+b

=>y=(1/2)x-2

-2 (2x + 11) = 5x + 14

Answers

Answer:

x=-4

Step-by-step explanation:

First, write the expression and distribute.

-2(2x+11)=5x+14

-4x-22=5x+14

Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.

-4x-22=5x+14

+4x      +4x

-22=9x+14

Now, subtract 14 on both sides.

-22=9x+14

-14        -14

-36=9x

Divide both sides by 9.

-36=9x

/9   /9

-4=x  or  x=-4 (they both mean the same thing)

Have a wonderful day! I hope this helped :3

The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The

Answers

Answer:

27

Step-by-step explanation:

Given that:

Green shirt = 81 students

White shirt = 54 students

Orange shirt = 27 students

The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.

Factors of :

81 : 1, 3, 9, 27, 81

54 : 1, 2, 3, 6, 9, 18, 27, 54

27: 1, 3, 9, 27

The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27

Help me solve this problem please

Answers

Answer:

x=-10

Step-by-step explanation:

15-2(x+5)=25

multiply the 2 by the x and 5 and you get

15-2x-10=25

since the 15 and the negative 10 are on the same side you add them together and get

5 -2x= 25

-5       -5

-2x =20

Then divide the -2/20= -10

Answer:

x = -10

Explanation:

15 - 2 ( x + 5 ) = 25

Distribute 2 through the parentheses

15 - 2x - 10 = 25

Subtract the numbers

5 - 2x = 25

Move constant to the right-hand side and change its sign

-2x = 25 - 5

Subtract the numbers

-2x = 20

Subtract both sides

x = -10

What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7

Answers

Answer:

y=x+5

Step-by-step explanation:

Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.


You are baking a casserole. The recipe calls for of a cup of beans to
make 5 servings. How many cups of beans would you need to make 25
servings?

Answers

The answer would be 5 cups

A hardback book cost $7.00 more than a paperback book. Write an expression for the total cost of 1 paperback book and 3 hardback books

Answers

Answer:

Tc=3x+(x-7)

Step-by-step explanation: So, the Tc stands for total cost. The x stands for the variable for the hardback books and the x-7 is the price of the paperback book. You could introduce another variable, but that might be more confusing

You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?

Answers

Answer:

297.50

Step-by-step explanation:

This would be considered a markdown because the guitar is on sale.

Which situations accurately describe a ratio of ? Select all that apply.

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.
Tobias picked five daisies and eight roses.
Aly painted eight trees for every three birds.
For every eight shots, Micah made five baskets.
Please help :/

Answers

If the ratio is 5/8, or 8/5

Tobias picked five daisies and eight roses.

For every eight shots, Micah made five baskets.

If the ratio is 5/13, or 13/5

Sally found five green fruit loops in her cereal bowl, out of every thirteen pieces.

If the ratio is 8/3, or 3/8

Aly painted eight trees for every three birds.

Explain why the graph of the quadratic function ()=2++5 crosses the y-axis by does not cross the x-axis

Answers

Answer:

The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.

Step-by-step explanation:

A store sells 6 cans of soup for $2.40. How much would it cost to buy 13 cans of soup?

Answers

13 cans of soup cost $5.20


2.40•2 is 4.80
And then to find the price of one can u divide 2.40 by 6 and get 0.40
Add 4.80 and 0.40 together and u get 5.20

Find an expression which represents the difference when (10x-6y)(10x−6y) is subtracted from (7x-4y) in simplest terms.

Answers

the answer for this is 3x-2y

Answer:-3x+2y

Step-by-step explanation:

What is the solution to 4 x + 6 less-than-or-equal-to 18?

help
<3

Answers

Answer:

x is less-than-or-equal to 3

Step-by-step explanation:

4(3)+6 =18

disregard question..............................................................................................................................

Answers

Answer:

whats the question.

Step-by-step explanation:

let me know

Rewrite the equation by completing the square.
X^2+8x+12=0

Answers

Answer:

(x + 4)² - 4 = 0

Step-by-step explanation:

Given

x² + 8x + 12 = 0

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 8x

x² + 2(4)x + 16 - 16 + 12 = 0

(x + 4)² - 4 = 0

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