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

Please help quickly!

Answers

Answer:

A

Step-by-step explanation:

You are subtracting 2 from y every step.

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

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.

What is 3/5 as a percent?

Answers

Answer:

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

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

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

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

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

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

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

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


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.

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

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.

I need help pls help me!!






Answers

I think the answer is D

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.

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.

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

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

8 6/12 decimal form

Answers

Answer:

8.5

Step-by-step explanation:

6 is half of 12 so I guessed 8.5

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.

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)

which could be the function graphed below

Answers

Answer:

B

Step-by-step explanation:


Find the area

10.4 in
6 in
6 in
6 in

Answers

24in and have a good day

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

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.

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 with this urgently!!

Answers

Answer:

c

Step-by-step explanation:

your welcome

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

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.

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