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


Find the area

10.4 in
6 in
6 in
6 in

Answers

24in and have a good day

Find the area of a circle with radius,
r = 5.68m.
Give your answer rounded to 2 DP.

Answers

Answer:

101.35

Step-by-step explanation:

pir^2

pi5.68^2

32.2624

pi(32.2624)

about 101.355

if triangle ocd ≅ triangle JAL, then which of the following statements are true?

Answers

Answer:

I III and IV

Step-by-step explanation:

According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Given :

Triangle OCD ≅ Triangle JAL

The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.

So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/10629211

What is 3/5 as a percent?

Answers

Answer:

3/5 as a percent is 60% hope that helps

The temperature at 6:00 am in New York was -7 °C. At 2:00 pm the
temperature in New York was 7 °C. What was the change in the temperature
temperature?

Answers

Answer

10 degrees c

Step-by-step explanation:

14 degrees Celsius because to get from -7 to 7 you need to add 7 to get to 0, then another 7 to get to 7.

help please! absolute value equations! ​

Answers

Answer:

n = -1                       n = -7

Step-by-step explanation:

5| 2n+8| +3 = 33

Subtract 3 from each side

5| 2n+8| +3-3 = 33-3

5| 2n+8| = 30

Divide by 5

5/5| 2n+8| = 30/5

| 2n+8| = 6

An absolute value equation has two solutions, one positive and one negative

2n+8 = 6              2n+8 = -6

Subtract 8 from each side

2n+8-8=6-8          2n+8-8 = -6-8

2n = -2                    2n = -14

Divide by 2

2n/2 = -2/2            2n/2 = -14/2

n = -1                       n = -7

Somebody help me plssss

Answers

Answer:

The last one 4x4

Step-by-step explanation:

Answer:

last one, D.

Step-by-step explanation:

I need help pls help me!!






Answers

I think the answer is D

A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?

Answers

Answer:

5 cents

Step-by-step explanation:

If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents

8 6/12 decimal form

Answers

Answer:

8.5

Step-by-step explanation:

6 is half of 12 so I guessed 8.5

I need help with this urgently!!

Answers

Answer:

c

Step-by-step explanation:

your welcome

helppppppp asaaaaap
8 fiction books
3 non-fiction books
4 historical drama books
Joe will randomly choose 1 book to read from the shelf. What is the probability that he will choose a non-fiction book?
a.0.8
b.0.267
c.0.2
d.0.533

Answers

Answer:

0.2 (C)

Step-by-step explanation:

8 + 3 + 4 = 15

3 divided by 15 equals 0.2.

3 represents non-fictions books and 15 represents total amount of books.

I need help pls!!!!!​

Answers

Answer: they aren’t

Step-by-step explanation:

The angles and lengths are not proportional so they are not similar.

Answer:

They are not similar

Explanation:

Even though they would look very similar if they were turned the same way the back of one of them is at a 90 degree angle while the other is at a more acute angle so no they are not similar.

David drives 4.8 miles to Musanze and a further 6.7 miles to Gisenyi. Work out how far he drives in total.

Answers

Answer:

11.6 miles

Step-by-step explanation:

Well all u do is add 4.8+6.7=11.5

The ratio of peanuts to crackers is 2:5. If a bag contained 30 peanuts, how many crackers would the bag contain?

Answers

Answer:

12:30

Step-by-step explanation:

12:30 is the correct answer

You can divide 30 and 5 to get 6, and multiply the 2 by 6 so it'll be equal.

Hope it helped.

Is 9 4/9 greater than less than or equal to ✓144

Answers

Answer: less than

Step-by-step explanation:

Because the square root of 144 is 12 it would be greater than 9 4/9. So 9 4/9 is less than 12

It’s less than. Jensen

According to a​ report, ​% of murders are committed with a firearm. ​(a) If murders are randomly​ selected, how many would we expect to be committed with a​ firearm? ​(b) Would it be unusual to observe murders by firearm in a random sample of ​murders? Why?

Answers

Full question attached

Answer:

A. 230.4

B. 3.23

Explanation:

1. if 78.26% of murders are committed with firearms, 300 murders selected at random would be expected to have been committed with 300*0.7826= 230.4 firearms

2. To find how unusual this figure is, we find standard deviation from the mean 230.4

Standard deviation = x-u/N

=254-230.4/7.311= 3.23 rounded

Therefore 254 is unusual

7.311 is calculated √np(1-p)

The price of dinner was $24.80. The sales tax was 8%. The server was given a 15% tip (calculated after tax was added). What was the total cost of the meal?
A
$5.70

B
$25.03

C
$30.50

D
$30.80

Answers

Answer:

D. $30.80

Step-by-step explanation:

8/100=0.08

0.08*24.80=1.984

1.984+24.80=26.78

15/100=0.15

0.15*26.78=4.017

4.017+26.78=30.80

which could be the function graphed below

Answers

Answer:

B

Step-by-step explanation:


Which equation has a constant of proportionality equal to ?
1/2
Choose 1 answer:

Answers

Answer:it’s c or 3/6

Step-by-step explanation:

Answer:

C. y = 3/6x

Step-by-step explanation:

The number by the x is the constant of proportionality. 3/6 is the same thing as 1/2, because when you divide the numerator and denominator by 3 it equals to 1/2.

Please help quickly!

Answers

Answer:

A

Step-by-step explanation:

You are subtracting 2 from y every step.

During a movie, Leon ate 7/8 of a handful of snack mix, and Oscar ate 5/8 of a handful. How
much more did Leon eat?
Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Fraction eaten by Leon  = [tex]\frac{7}{8}[/tex]

Fraction eaten by Oscar = [tex]\frac{5}{8}[/tex]

Unknown:

How much more did Leon eat than Oscar = ?

Solution:

Since they both ate from the same snacks,

  Leon will eat =  [tex]\frac{7}{8}[/tex]  -  [tex]\frac{5}{8}[/tex]  more than Oscar;

   This gives;

                               [tex]\frac{7- 5}{8}[/tex]  = [tex]\frac{2}{8}[/tex]  = [tex]\frac{1}{4}[/tex]

Leon ate  [tex]\frac{1}{4}[/tex] more snacks than Oscar.

Solve: −3(k − 2) = −2

Answers

Answer:8/3

Step-by-step explanation:divide both sides by -3 2 negative make a positive add 2 to both sides simplify 2/3 +2 to 8/3

Answer:

The answer is

[tex] \huge \boxed{k = \frac{8}{3} } \\ [/tex]

Step-by-step explanation:

[tex]−3(k − 2) = −2 [/tex]

Expand the terms in the bracket

That's

[tex] - 3k + 6 = - 2[/tex]

Subtract 6 from both sides of the equation

We have

[tex] - 3k + 6 - 6 = - 2 - 6 \\ - 3k = - 8[/tex]

Divide both sides by - 3

[tex] \frac{ - 3k}{ - 3} = \frac{ - 8}{ - 3} \\ [/tex]

We have the final answer as

[tex]k = \frac{8}{3} \\ [/tex]

Hope this helps you

As x approaches infinity, for which function does f(x) approach negative infinity? Select all that apply. Select all that apply: f(x)=19x(3x+7)(x+12) f(x)=−23(x+4)(x−1)(x−5) f(x)=3x(x+4)(x+7)(x−9) f(x)=(4x−7)(3x+1)(2x−11) f(x)=−29x(2x+5)(2x−1)(x+8)(x−1)(x+4) f(x)=−45x(x+1)(x+5)(x+8)(2x+5)(2x−7)(4x+1)

Answers

Answer and explanation:

Please find answer and explanation attached

When dividing 592 by 9.25, how many zeros will be placed in the dividend?
one
two
three
four

Answers

Answer:

Two Zeros

Step-by-step explanation:

59200/925

Which is equal to  64

No doubt, the expeced answer is 2. This is because you would ordinarily change the problem to 59200/925 for long division by hand.

For this quotient, you don't need any, because the quotient is 64, a multiple of 4, so the numbers being subtracted are always integers.

_____

If you were dividing 591 by 9.25, you would need an infinite number of zeros—because the decimal portion of the quotient is a repeating decimal with a period of 3 digits.

There are 207 students in the 9 classes
at east middle. At this rate, how many students are in 6 classes ? use the radio table below to help you determine you answer ​

Answers

to find the rate first we divide the number of students by the number if classes as follows 207 ÷ 9 = 23 student in each class Then we multiply this rate by the number of classes to get 23 students × 6 classes = 138 students in 6 classes

In the video game Stunt Pilot, players gain and lose points based on how well they perform tricks in their airplanes. Kirk had 33 points in the game before getting – 18 points for losing control of his plane during a stunt. What is Kirk's score now?

Answers

Answer: 15

Step-by-step explanation: Well first you have to minus 33-18=15

Which of the following cannot be true about a linear pair of angles?

Answers

A linear pair of angles cannot add up to anything other than 180 degrees.

They cannot be complementary because complementary means add up to 90 degrees.

BRAINLY PLS HELP ME OUT ON THE 5,2 what the m value I beg you ASP

Answers

Answer:

hypotenuse = 5

height = 2

Using Pythagoras theorem,

5² = 2² + m²

=> 25 = 4 + m²

=> 25–4 = m²

=> √21 = m

=> m = 4.58

Value of m is 4.58

What is the image point of (7, 0) after a translation right 2 units and up 1 unit

Answers

Answer:

(9,1)

Step-by-step explanation:

The required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

As mentioned in the question, the image point of (7, 0) after a translation right 2 units and up 1 unit is to be determined.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

Here,
The image point of (7, 0) after a translation right 2 units and up 1 unit is given as,
= (x + x', y + y')
= (7 + 2, 0 + 1)
= (9, 1)

 

Thus, the required image of the point of (7, 0) after a translation right 2 units and up 1 unit is (9, 1).

Learn more about coordinate here:

brainly.com/question/13498438

#SPJ1

Other Questions
Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan? Which of the following are decomposers?O A. miceO B. snakesO C. fungiOD. spidersASAP 1.Sourcing: This rebellion against the Jamestown government was led by Nathaniel Bacon. He also wrote this document to gather support for this rebellion. Given this information, what kind of biases would we expect to find in this document?2.Corroboration: If you wanted to confirm the truth of these events and accusations that Nathaniel Bacon is referring to in his declaration, what other kinds of historical documents could you analyze? What amount of work is done on a cart that is pushed 4.0 meters across a floor by a horizontal 40-N net force? Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spendon clothing. How much money does she have left in her bank account now? Sally is 6 years older than Ali. Together the sum of their ages is 34. How old is each of them? find fk and f in the picture shown Which document would be issued to a limited company giving it permission to trade It takes 140 minutes to finish a 40-question math test. How many minutes does it take, on average, to solve each math problem? * O 2 1/2 minutes 4 1/4 minutes O 3/4 minutes O 32 minutes Your first job is to babysit a couple of times a week. You charge a flatfeet of $10 for transportation back and forth to the house plus $5.50per hour. Let t be the time in hours that you babysit. Write algebraic expression to define the amount of money you will make for t hours of work. The difference between Weather and Climate is... 1. Weather is day to day and Climate is week to week2. Weather is long term and Climate is day to day3.Weather is day to day and Climate is weather over a long period of time 4. Climate is weather and weather is climate. It was....... (an/a/the) windy evening. I was pretending as it was rewChoose the correct options from the brackets the complete the textin my room. Way down........ (in/at/on) my heart, I couldn't help feelthat there was something in what grandmother had said. The leavenmy grandparent's philosophy.......(was/were/has) working I couldsee that happiness, contentment and peace depended more uponorderliness, thoughtfulness and kindliness than upon genius. Spasmodeffort or keeping up appearances........(couldn'tl/could i can't......... (although/however/because) mother had been wonderfullycourageous father could hardly have claimed that virtue. what kind ofmother would have had to be in order to have filled expectations ofgrandmother ......... (was/is/were) difficult to imagine for me now to makeroom, 1 ........(would think/ did think/ would not have thought) so. AnywayI believed that I ...... (had learnt/ have learnt / am leant) much from myfamily. Then the door........ (was knocked? Knocked/ would knocked) and I5mmewas called by mother. Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at 27 1 4 27 4 1 minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent? Hurry plzzzz >_ whats the first step in being a true friend? Estimate and then solve the equation.x 1745 = 1315The estimated equation is .The estimated solution is x = .The actual solution is x = . 16.A number of brave & resolute men,determined to do all in their power to savetheir country from the ruin which theirenemies had plotted, in less than four hours,emptied every chest of tea on board the threeships commanded by the captains Hall,Bruce, and Coffin, amounting to 342 chests,into the sea!! without the least damage doneto the ships or any other property. Thematters and owners are well pleas'd that theirships are thus clear'd; and the people arealmost universally congratulating each otheron this happy event.-Boston Gazette, 1773 A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay. Which of these religions originated in Japan? What hindered Ashoka from going into Tibet?