use the given measurements to solve triangle ABC. Round your answers to the nearest tenth. Show work.​

Use The Given Measurements To Solve Triangle ABC. Round Your Answers To The Nearest Tenth. Show Work.

Answers

Answer 1

Answer:

  b.  b = 15.0, A = 113.2°, C = 300°

Step-by-step explanation:

The given sides are either side of the given angle, so the Law of Cosines can be used to find the unknown side.

  b² = a² +c² -2ac·cos(B)

  b² = 23² +12.5² -2(23)(12.5)cos(36.8°) = 224.829

  b = √224.829 = 14.99 ≈ 15.0 . . . . . matches choice B

__

For the purpose of selecting the correct multiple-choice answer, this is sufficient working.

__

If you want to find the remaining angles, you can use the law of sines to find one of them. The smallest angle* will be ...

  sin(C)/c = sin(B)/b

  C = arcsin(c/b·sin(B)) = arcsin(12.5/14.9942·sin(36.8°)) ≈ 30.0°

Then angle A can be found from the sum of angles in a triangle:

  A = 180° -36.8° -30° = 113.2° . . . . . also matches choice B

_____

* We choose to find the smallest angle because the largest one may be more than 90°. The Law of Sines is ambiguous in that case. Finding the smaller angle first resolves the ambiguity immediately.


Related Questions

You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?

Answers

Answer:No change

Step-by-step explanation:

3*17=51 + 5*12=60

So 51+60=111. So in reality you would still need to pay $1.

Answer:

you still owe 1 dollar to the store

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Answers

Answer:

not sure if that is the Answers

The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.

Step-by-Answers

What is the value of 3 in 731.8?

Answers

Answer:

Tens

Step-by-step explanation:

the three is in the tens value

Answer:

value = 30

place = tens

Step-by-step explanation:

( attached for reference)

the digit "3" is in the tens place.

Hence the value is "3-tens" or 3 x 10 = 30

Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?

Answers

Answer:

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

Step-by-step explanation:

A simple interest rate account yields a return that follows the formula below:

[tex]return = C + C*r*t[/tex]

Where C is the invested money, r is the interest rate and t is the elapsed time in years.

While a compound interest rate account yields a return that follows the formula below:

[tex]return = C*e^{r*t}[/tex]

Therefore for the Simply Saving Bank she'll earn:

[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]

While the Capital Bank she'll earn:

[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]

She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.

The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?

Answers

Answer:

3.5°/hour

Step-by-step explanation:

Rate of change of temperature=change in temperature/Change in time

Change in temperature

=82° - 54°

=28°

Change in time=3:00pm - 7:00am

=8:00 hours

Rate of change of temperature=28°/8 hours

=3.5°/hour

Answer:

The rate of temperature change is 3.5 degree celcius per hour

Step-by-step explanation:

Here, we want to calculate the rate of change of temperature

Firstly, we calculate the number of hours it took the temperature to change

that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours

now let’s calculate the temperature rise = 82-54 = 28

The rate of temperature change is thus = change in temperature/ number of hours taken

= 28/8 = 3.5 degree celcius per hour

Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?

Answers

Answer:

54.

Step-by-step explanation:

8/6 = 72/ x where x is the number of raspberries.

8x = 6*72

8x = 432

x = 54.

20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!

Answers

Answer:

7.8

Step-by-step explanation:

Sine 50=6/x

x= 6/Sine 50

x=7.8

Answer:

h ≈ 7.8 cm

Step-by-step explanation:

Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:

sin50 = 6/h

sin50h = 6

h ≈ 7.8 cm

Given the following exponential function, identify whether the change represents growth or decay, & determine the percentage rate of increase or decrease
y = 250 (1.078) ^x

Answers

Answer:

The exponential function represents growth, the percentage rate of increase is 7.8 %

Step-by-step explanation:

Please see the attachment.

The exponential function represents growth, the percentage rate of increase is 7.8 %

Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only​

Answers

Answer:60

[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]

Expand the brackets and solve
3(2x+1)=x-7

Answers

6x+3= x-7
6x+10=x
10=-5x
-2=x

What is the awnser to(3+4)x6

Answers

Answer:

42

Step-by-step explanation:

(7)x6

42

Answer:

42

Step-by-step explanation:

Remember:

P arenthesess

E xponent

M ultiplictaion

D ivision

A ddition

S ubtraction

First,

3 + 4 = 7

Then,

7 x 6 = 42

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Can someone help me with this?
will mark as brainliest.



What angle corresponds to ∠M?



Answers

Answer: Angle B

Step-by-step explanation:

Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.

Answer: angle b .

Step-by-step explanation:

For how many teachers are both p Ar true and q false?
The diagram represents three statements about teachers:
p.9, andr
2.
OOOO
9
5
GA
7
9
2.
9
4.
6
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

C. 5

Step-by-step explanation:

Believe in me

cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4

Answers

Answer:

r = 5/3

Step-by-step explanation:

Olivia has $143 in the bank. She withdraws $40. Then she deposits &92. Write an addition expression to represent the situation. Then find the sum.

Answers

Answer & Step-by-step explanation:

Answer after you have shown organized work to get to the solution. 4. If you have ... content that you may have trouble with- search under 6th and 7th grade math. If you are ... Olivia has $143 in the bank. She withdraws. $40. Then she deposits $92. Write an addition expression to represent the situation. Then find the sum. 8

Three less than twice a number is seventeen. What is the number?

Answers

The answer is 20 I believe

the altitudes of a triangle intersect at the______

Answers

Answer:

the altitudes of a triangle intersect at the "orthocenter".

Step-by-step explanation:

The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.

If $5000 earns $6000 simple interest in 12 years, find the interest rate.

Answers

Answer:

2.2% interest

Step-by-step explanation:

The interest rate would be 10% per year

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice

Answers

[tex]2x - z - 5 + {2z}^{2} [/tex]

Step-by-step explanation:

The coefficient of x is 2= 2x

the coefficient of z is -1 which is = (-1)z= -z

the constant term is less than zero which means that the constant term is a negative number.

so the answer becomes

[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]

which is =2x-z-3

Answer:

2 x minus z minus 5 + 2 z squared

Step-by-step explanation:

pls help me any bit can help need it asap though. only need part lll the words cutt of are show work​

Answers

Answer:

y = 4/3 x - 3.

Step-by-step explanation:

III

y - 5 = 4/3(x - 6)

y = 4/3(x - 6) + 5

y = 4/3 x - 8 + 5

y = 4/3 x - 3.

Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.

A: Represente, por uma expressão algébrica, a medida de AÔB em graus.

B: Calcule a medida de BÔC e AÔB para x=9

Answers

Answer:

We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,

[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]

If [tex]x=9[/tex], then we use this value to find each angle.

[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]

Therefore, angles BOC and AOC measure 32°.

Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi

Answers

Answer:

We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]\frac{2}{6} \times 48[/tex]

[tex]16[/tex]

[tex]16 \times \frac{3}{8}[/tex]

[tex]\frac{48}{8}[/tex]

[tex]=6[/tex]

Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of the smaller to the larger?

Answers

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

The ratio of the areas of the similar triangles is 1 : 9

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 first triangle be represented as ΔABC

Let the second triangle be represented as ΔDEF

And , they are similar triangles

Now , the sides of one are three times as long as the sides of the other

Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:

a : 3a = b : 3b = c : 3c

Simplifying this, we get:

1 : 3 = 1 : 3 = 1 : 3

This means that the corresponding sides of the two triangles are in a ratio of 1:3

Now, let's use the formula for the area of a triangle:

A = ( 1/2 ) x base x height

The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:

(1/2) x 1 x 1 : (1/2) x 3 x 3

So , the ratio is 1 : 9

Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ2

There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?

Answers

Answer:

here

Step-by-step explanation:

The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.

Solve for a side in a right triangle

Answers

Answer:

1.88 = ?

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 20 = ?/ 2

Multiply each side by 2

2 cos 20 = ?

1.879385242 = ?

To the nearest hundredth

1.88 = ?

sin(Sin^-1 x) = x for -1 Please select the best answer from the choices provided
True?
False?
Thanks!

Answers

The answer will be ture

Answer:

True

Step-by-step explanation:

Zachary is solving the following equation.

Three-fourths (x minus 8) = 12

Which is the best first step to begin to simplify the equation?

Answers

Answer:

look below

Step-by-step explanation:

first distribute 3/4 into (x-8)= 3/4x-6

3/4x-6=12

then add 6 to both sides to get rid of -6

3/4x=18

Now multiply 4 times 18 to get rid of division (72)

now you are left with 3x=72, so you now divide by 3 and you get x=24

Answer:

The correct answer is C

Please help ! I really don’t understand:((

Answers

Answer: B

Step-by-step explanation:

just took that

Answer:

the answer is B

Step-by-step explanation:

PLEASE HELPPPPPPPPP
MARKING BRANLIEST

Answers

Answer:

A

A

5

Step-by-step explanation:

Rectangular Prism A

volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3

Rectangular Prism B

volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3

Answers:

A

A

5

what is the inverse of the function f(x)=2x-10 ?​

Answers

Answer:

1/2x +5

Step-by-step explanation: Right answer

Answer:

[tex]f^{-1} (x)=\frac{x+10}{2}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10[/tex]

[tex]y=2x-10[/tex]

[tex]y+10=2x[/tex]

[tex]\frac{y+10}{2}=x[/tex]

[tex]\frac{x+10}{2}=y[/tex]

[tex]\frac{x+10}{2}=f^{-1} (x)[/tex]

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