Solve the triangle.
С
a
b
a =5, b=3, c=4
А
B
C
A-°
(Type your answer in degrees. Round to one decimal place as needed.)

Answers

Answer 1

Answer:

  A = 90°

  B = 37°

  C = 53°

Step-by-step explanation:

Given three sides of a triangle, the Law of Cosines can be used to find the angles.

__

For angle A (the largest), we can use ...

  a² = b² +c² -2bc·cos(A)

Solving for A, we get ...

  A = arccos((b² +c² -a²)/(2bc)) = arccos((3² +4² -5²)/(2·3·4)) = arccos(0)

  A = 90°

We can use a similar equation for angle B:

  B = arccos((a² +c² -b²)/(2ac)) = arccos((25 +16 -9)/(2·5.4)) = arccos(4/5)

  B ≈ 37°

The sum of angles is 180°, so ...

  C = 180° -90° -37°

  C = 53°

Solve The Triangle.aba =5, B=3, C=4BCA-(Type Your Answer In Degrees. Round To One Decimal Place As Needed.)

Related Questions

In June, Sara sold 70% of her products in market fairs, and she sold the rest of her products via her website. She sold 120 products less on her website than in market fairs. What was the total number of products Sara sold?

Answers

Answer:

84 products

Step-by-step explanation:

If 16=4y then what is the value of y

Answers

isolate for y:

[tex]16=4y\\\\\frac{16}{4}=\frac{4y}{4} \\\\4=y[/tex]

The value of y is 4.

Isolate y:

16/4 = 4y/4

4= y

If f(x)=2x+5 , determine the value of f(3x) .

Answers

Answer:

Step-by-step ef(x)=-2x+5……i

and f(-3x)=?

let x=-3x so that

-2x+5=-3x

x=5

substitutinx x into… i

f(x)=-10+5=-5

f(5)=-5………ii

now f(–3x)=f(-15)

scrutinizing… ii ,we can propose that

f(-15)=15.

Thus f(-3x)=15xplanation:

f times x would equal to fx=2x+5 and i think we move the x move to the other side which makes it f=3x+5 and then we plug this equal into f(3x) (i think)  which makes it f(3x+f=3x+5)

When 3 is added to a certain number the result is multiplied by obtain one less than the number you started with. what is that number​

Answers

Step-by-step explanation:

coco with a smooth kind of drank that's definitely defeats the purse with a polish sausage you get from home depot

What is the volume of this figure?

Enter your answer in the box.

Answers

The volume of the figure shown in the image which consist of two rectangular prisms is equal to 3300 cubed feet.

How to find the volume of the composite figures?

To find the volume of the composite figures,

Separate the figure.Calculate the volume of the figure by which the composite figure is made of.Add the volume of all the individual figures to get the total volume of composite figures

The given figure consist of two figures. Both are rectangular prism in which one has 24 ft length (20+4), width of 5 ft and height of 25 ft.

The area of a rectangular prism is the product of length, width and height of it. Thus, the volume of the upper prism is,

V₁=24×5×25

V₁=3000 ft³

Lower prism has 4 ft length, width of 3 ft (8-5) and height of 25 ft. Thus, the volume of this prism is,

V₂=4×3×25

V₂=300 ft³

Thus, the volume of the figure shown in image is,

V=3000+300

V=3300 ft³

Hence, the volume of the figure shown in the image which consist of two rectangular prisms is equal to the 3300 cubed feet.

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find the volume of a cone with a diameter of 18 meters and a height of 20 meters

Answers

[tex] \huge \sf \color{pink}{A} \color{green}{N} \color{red}{S} \color{blue}{W} \color{orange}{E} \color{grey}{R}[/tex]

[tex]\large \underline{ \boxed{ \sf{✰ \: Important \: points }}}[/tex]

[tex] \pink{➢}[/tex] Diameter of cone = 18m

[tex] \pink{➢}[/tex]Height of cone = 20m

[tex] \pink{➢}[/tex]A surface of revolution formed by rotating a segment of a line around another line that intersects the first line.

[tex] \pink{➢}[/tex]Cone is basically formed by circular base

[tex]\underline{ \boxed{ \sf{➫\: Volume\:of\:cone = \frac{1}{3} {r}^{2} \pi \: h}}}[/tex]

[tex]\underline{ \boxed{ \sf{ ➪ \: r = radius}}} \\\underline{ \boxed{ \sf{ ➪ \: h = height}}}[/tex]

[tex] \pink{➢}[/tex] We know that radius is half of diameter

[tex] \sf \:➩ r = \frac{18}{2} \\ \sf \: ➩r = \cancel \frac{18}{2} \\ \sf \: ➩r = 9 \: \: \: [/tex]

[tex] \pink{➢}[/tex]Hence radius of cone in data given is 9m

➢ Let's substitute values according to formula

[tex]\sf \: → \frac{1}{3} \times {(9)}^{2}\times 3.14 \times20 \\ \sf→ \frac{1}{3} \times 81 \times 3.14 \times 20 \\ \sf \: → \frac{1}{ \cancel3} \times \cancel{81} \times 3.14 \times 20 \\ \sf→27 \times 3.14 \times 20 \\ \sf \: →1695.6m[/tex]

[tex] \pink{➢}[/tex] Hence volume of cone =1695.6m

Hope it helps !


Which statements can be used to compare the
characteristics of the functions? Select three options.
f(x) has the greatest maximum.
h(x) has the greatest x-intercept.
g(x) has the smallest minimum value.
All three functions share the same domain..
All three functions share the same y-intercept.

Answers

The true statements that can be used to compare the characteristics of the functions are: option B, C, and D.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

How to interpret the functions?

From the table of values for this discrete function (see attachment), we can deduce the following characteristics and points:

g(x) has the smallest minimum value of -204.All three functions share the same domain (-1, 0, 3, 8, 15).All three functions share the same y-intercept (2, 3, 2, -3, -10).

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find the slope intercept form of the line whose slope is 2 and passes through the point (-7,10)

Answers

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

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A 12-pack of soda costs $6.30 what is the cost per can

Answers

6.30 dollars / 12 sodas = $0.525 cents each soda

Answer:

So our goal is to determine the cost per can which we can find by dividing the amount of cans from the cost of the cans.  That would give us the price per can.

[tex]\frac{price}{cans}[/tex]

[tex]\frac{\$6.30}{12\ cans}[/tex]

[tex]\$0.525\ per\ can[/tex]

Hope this helps!  Please let me know if you have any questions

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and
15
%
15%15, percent answered “Yes.”
Based on this data, which of the following conclusions are valid?

Answers

The conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

We have the statement:

Wholesome Food Company asked all students on the baseball team at Ridgemont High School the question, “Do you like broccoli?” and 15% answered “Yes.”

The given conclusions:

15% of the outfielders on the baseball team like broccoli, but we cannot conclude anything aboutthe population.15% of all students on the baseball team at Ridgemont High like broccoli.15% of all students at Ridgemont High like broccoli.

There is no particular information given about who likes to eat broccoli, but based on the conclusion and statement, we can say:

15% of all students on the baseball team at Ridgemont High like broccoli.

Thus, the conclusion is that 15% of all students on the baseball team at Ridgemont High like the broccoli option second would be the correct choice.

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Jill planted five rows of watermelons in her garden with the same number in each row she planted a total 35 watermelons how many in each row

Answers

Answer:

7 watermelons were in each row.

7 watermelons in each row.

four hundred
eighty three million, six hundred thousand miles.

Answers

Answer:

400

83 000 000

600,000

-----------------------

483,600,000 miles

Pls ingore all of the questions below, but help me with the attached image
What is the only number that has the same number of letters as it's meaning? ...
What number doesn't have its own Roman numeral? ...
What is the only even prime number? ...
What is the smallest perfect number? ...
What is our current numerical system based on? ...
Is Pi a rational or irrational number?

Answers

The triangle in the image seems to be an isosceles triangle which means that two of the angles would be the same.

x would be 54° as well

to find the third angle, subtract all the angles from 180

[tex]180-54-54=72[/tex]

y would be 72°

Dylan lives about 27 miles from the mall. If he can drive at an average rate of 36 miles per hour through town, about how long does it take for Dylan to drive to the mall?

Answers

Answer:

45 minutes

Step-by-step explanation:

distance / rate = time

27 miles / 36 miles/hr = .75  hr    ( 45 minutes )  

If two data points are 10 and 20, what data point would make 30 the mean?​

Answers

Answer:

60

Step-by-step explanation:

The mean of a set of numbers is calculated by adding them all together and then dividing the sum by the amount of values in the data set. In this scenario, we know the mean is 30, and there are 3 numbers in the data set, 10, 20, and an unknown number (x).

Let's set up an equation with the information we have.

30 = (10 + 20 + x) / 3

Now we can multiply both sides by 3 ==>

90 = 10 + 20 + x

Combine like terms ==>

90 = 30 + x

Subtract 30 from each side ==>

60 = x

And now you have your answer!

The value of x = 60 would make the mean of the data set 30.

Im bad at word problems, so I need help please

Answers

Linear, because it would be a function something like y = .46 + .2x. Which is linear.

Help me answer this question :((((

Answers

Answer:

1

c

2

h

Step-by-step explanation:

1

For the first question, the mean is calculated by adding all the items together and dividing it by the amount of them.

In this case, we add 32000 to 4600 to create 36600, this is the cost for 6 cars. To find the mean, we divide by 6. 36600 divided by 6 is 6100

2

We are looking for the original fee of 50 on its own, alongside 10 lots of 25.

The only version that correctly represents this is 50 + 25(10)

Multiply by
3x10
Divide by
6
Add
2
Subtract
4

Answers

Answer:

1

Step-by-step explanation:

3x10=30

divided by 6

=3

+2=5

-4=1

Answer:

3

Step-by-step explanation:

3x10=30

30/6=5

5+2=7

7-4=3

my class is starting to learn angles

Answers

Answer:

below

Step-by-step explanation:

2/3=240

3/4=270

2/6=120

5/8=225

Well from basic Knowledge, 3/4 is 3 quarter turns of 90° each so 90°•3=270°. Then 5/8 can be broken into 2.5/4 so 2.5 turns or 90° so 90•2=180 + 90•.5=45. (180+45=225) then from process of elimination, 2/6 is 1/3, which is less than 2/3, so that would be 120, and 2/3 would be 240.

Luna rolls two number cubes labeled 1-6. What is the probability of rolling a sum of 5?

Answers

The probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

Luna rolls two number cubes labeled 1-6.

Total number of outcomes = 6×6 = 36

Total number of favorable outcomes = 4

Which is (1, 4), (2,3) (3,2), (4,1)

The probability will be:

= 4/36

= 1/9  or in percentage:

= 11.12%

Thus, the probability of rolling a sum of 5 is 1/9 or 11.12% if the Luna rolls two number cubes labeled 1-6.

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Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out 5 cards in a row which are all diamonds, without replacing any card to the deck?

Answers

Answer: 5/52 or 10.4 I think

Step-by-step explanation: 5/52 = 10.4

Please solve with explanation (high points)

Answers

a) From the Pythagorean theorem, we have

AC² = AB² + BC² = a² + a²   ⇒   AC = √2 a

and

AK² = AB² + BK² = a² + (2a)²   ⇒   AK = √5 a

ABCD and BKLC are perpendicular, so AC and CL are perpendicular and ∆ACL is a right triangle. By the Pythagorean theorem, we have

AL² = AC² + CL² = (√2 a)² + (2a)²   ⇒   AL = √6 a

Now,

AK² + LK² = (√5 a)² + a² = 6a² = (√6 a)² = AL²

which means ∆AKL satisfies the Pythagorean theorem and is a right triangle, so ∠AKL = 90°.

b) We know AC = √2 a and AK = √5 a. By the Pythagorean theorem, we find

CK² = BC² + BK² = a² + (2a)²   ⇒   CK = √5 a

By the law of cosines, we have

AK² = AC² + CK² - 2 AC CK cos(∠AKC)

6a² = 2a² + 5a² - 2√10 a² cos(∠AKC)

cos(∠AKC) = 1/(2√10)

∠AKC = arccos(1/(2√10)) ≈ 80.9°

Please help, will mark Brainliest!

1. Does the relationship between number of people and the bill appear to be weak, moderate or strong?


2. Does the relationship between number of people and the bill appear to be linear?


3. The equation of the line of best fit is Bill = 5.80 + 11.15 · People. (y=5.80+11.15x) Sketch this line on the scatterplot.


4. Interpret the slope of the line of best fit in the context of this problem.


5. Note that the points in the scatterplot do not all lie on the line. What could explain this variability?


6. Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?


7. There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay?

Answers

In the above scenario, for question 1 and 2, we can say that relationship does depict or appear to be fairly strong and also linear as the points on the graph doesn't move far from a line.

What is the relationship about?

Other answers are:

The answer to question 3 scatterplot graph is given in the image attached.

The  Interpretation of the slope of the line of best fit in the context of this problem is that the additional person added to the party will  bring or add about $11.15 to the bill above.

 The variability can be shown or explained by the differences that is seen in what the parties in the graph has ordered to eat or drink.

Since the party of 8 paid were said to have paid (95 - 82.50 =12.50) therefore, 12.50  is known to be less than the predicted amount.

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Identify the vertex, equation of the axis of symmetry, y-intercept, and zeros of the graph of a quadratic function.

Answers

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Vertex = (2, 1)Axis of symmetry : x = 2Y-intercept : -3Zeros : (1, 0) and (3, 0)

what is the meaning of a scale?​

Answers

Answer: A scale in charts can be characterized as the system of marks at settled intervals, which characterize the connection between the units being utilized and their representation on the graph.

Step-by-step explanation:

A bookstore sells 7 books for $99.75. Which table represents the relationship between
number of books and the total price?

Answers

Answer:

B.

Step-by-step explanation:

PLEASEEEE HELPPP I WILL MARK BRAINLESS JUST FOR HELPING ME PLSSSSS! …. Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

Answers

Answer:

x≥3 but without the line under the symbol

Step-by-step explanation:

Write the equation for the line in slope-intercept form.

Answers

Answer:

y = 4x + 3

Step-by-step explanation:

We are given the line shown in your question.

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1).

First, we need to find the slope of the line

The slope (m) can be found using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points to avoid confusion and mistakes before calculating.

[tex]x_1= 0\\y_1=3\\x_2=-1\\y_2=-1[/tex]

Now substitute these values into the equation for the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{-1-3}{-1-0}[/tex]

Subtract

m=[tex]\frac{-4}{-1}[/tex]

Divide

m = 4

The slope of the line is 4

Here is the equation of the line so far:

y = 4x + b

Now we need to find b

As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0

One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3

Substitute 3 as b in our equation

y = 4x + 3

Topic: finding the equation of the line

What’s the answer??????#9

Answers

Answer:

A)

Step-by-step explanation:Quadratics

[tex] \huge \tt \color{cyan}{➢}\color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }\color{cyan}{➢}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

a polynomial equation of the second degree is said to be as quadratic equation.quadratic:-a function, of the form y=ax²+bx+c.Standard form of quadratic equation is ax²- bx+c=0where a≠0

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\: solve }}}[/tex]

[tex] \purple{ \sf{⇒Given \:function}}[/tex]

⇒ y = -2(x-5)²-4

now 1st we have to solve (x-5)² by using algebraic identify (a-b)²= a²+b²-2ab here a=x nd b = -5(x-5)²x²-10x+25Now

⇒y = -2(x²-10x+25)-4

distribution of 2 with bracket

⇒ y= -2x²+20x-50-4

⇒ y= -2x²+20x-54

Hence option A (-2x²+20x-54) is right ans.....

[tex]\rule{70mm}{2.9pt}[/tex]

[tex] \red{ \underline{\underline{ \boxed{ \tt{✰ \: Option \: A \: ✓}}}}}[/tex]

Hope it helps !

PLEASEEEE HELPPPPP!!!

Answers

Answer:

You are right in that this function is not an odd function. For it to be odd it has to be symmetrical about the origin or equivalently -f(x) = f(-x) which is not the case here.

I can see an option button next to the graph so I assume that this is only one of the answer choices.

Can you provide the source of this question?

Step-by-step explanation:

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