In a triangle ABC, AC=24 cm, BC=30 cm, and m∠C=40°. Determine the area of the triangle. Round to nearest square centimeter.

Answers

Answer 1

Answer:

The area of the triangle is 231 cm² to the nearest square centimeter

Step-by-step explanation:

We can find the area of a triangle has the lengths of two sides and the measure of the included angle by using the trigonometry

A = [tex]\frac{1}{2}[/tex] × s1 × s2 × sinФ, where

s1 and s2 are the two sides of the triangleФ is the angle included between s1 and s2

In ΔABC

∵ AC = 24 cm

s1 = 24

∵ BC = 30 cm

s2 = 30

∵ m∠C = 40°

Ф = 40°

→ By using the rule of the area above

∵ A = [tex]\frac{1}{2}[/tex] × 24 × 30 × sin(40°)

∴ A = 231.4035395 cm²

→ Round it to the nearest square centimeter

A = 231 cm²

The area of the triangle is 231 cm² to the nearest square centimeter


Related Questions

What is the coefficient of y^3 in the expansion of (y+3) raised to the 4th power?
A. 1
B. 6
C. 4
D. 3

Answers

The answer to this problem would be 3 because a coefficient is a whole number so the coefficient would be D. 3.

An item has a listed price of $45. If the sales tax rate is 5%, how much is the sales tax (in dollars)?

Answers

Answer:

$42.75

Step-by-step explanation:

Which number is the smallest?
33/2, 555/3, 7/1000, 100, 50/1111, 150
A. 33/2
B. 555/3
C. 100
D. 50/1111
E. 7/1000
F. 150

5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1


10.34, 500/50, 10.4, 1000/100, 2000/250, 4000/400
A. 4000/400
B. 500/50
C. 10.34
D. 1000/100
E. 2000/250
F. 10.4

Answers

Answer:

E D C are the answers for the questions

Write the equation 3x+2=4x²​ in standard form.
Identify the values of a,b, and c that you would use to solve the equation using the Quadratic Formula.

Answers

Answer:

Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...

Missing: 4x²​ ‎| Must include: 4x²​

Step-by-step explanation:

Write the Equation in Standard Form 3x+2=4x^2. 3x+2=4x2 3 x + 2 = 4 x 2. To write an equation in standard form, move each term to the left side of the equation ...

Missing: 4x²​ ‎| Must include: 4x²​

A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? (2 points) A. Write a multiplication equation and division equation to represent the situation.

Answers

Answer:

x = 4/25

Step-by-step explanation

Amount of tangerines in bags sold = 25kg

If a customer bought 4kg of tangerines, the number of bags he bought is expressed as x;

4 kg = x bags

25 kg = 1 bag

Cross multiply

25 x = 4 * 1

25x = 4

Divide both sides by 25

25x/25 = 4/25

x = 4/25

Hence the required equation is x = 4/25

Answer:

So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4

Step-by-step explanation:

3(1−9a)+22a=2(2a−9)−15
i need a step by step explanation

Answers

Step-by-step explanation:

3(1-9a)+22a=2(2a-9)-15

3-27a+22a=4a-18-15

-27a+22a-4a=-18-15-3

-a=-36

a=36

Answer:

A= 4

Step-by-step explanation:

3(1-9a)+22a=2(2a-9)-15

3-27a+22a=2(2a-9)-15

3-5a=2(2a-9)-15

3-5a=4a-33

3-5a-3=4a-33-3

-5a=4a-36

-5a-4a=4a-36-4a

-9a=-36

-9a/-9 = -36/-9

A=4

I got this question wrong. My teacher said something about altitude, but I have not a clue how to do it

Answers

Answer:

cone shape and cm 3

area of shape

Step-by-step explanation:

3 cm ×8 cm

24

please follow me all friends who are watching me who made answer

need some help (Geo)​

Answers

Answer:

b

Step-by-step explanation:bb

Step-by-step explanation:

Angle 6 and Angle 3 must be supplementary to show that the 2 lines are parallel (D).

based on the information in the table wich of these key features is incorrect

Answers

3=0 and 6=0. You can only have one x for one y

PLEASE HELP ME WITH THIS QUESTION I NEEED HELP ASAPm

Answers

Answer:

one pound is 4 dollars and 12 pounds would cost 48 dollars

Of the 75 cars that Lindsay saw pass on the highway, 16% had an out-of-state license plate. How many had an out-of-state license plate?

Answers

Answer:

12

Step-by-step explanation:

75 * 0.16 = 12

Answer:

12 cars

Step-by-step explanation:

The family built a house that has a length and width in a ratio of 5: 4, what is the length and width of the house if the total area of ​​two identical floors is 160m2

Answers

Answer:

I hope it will help u , please Brain -list the question

Step-by-step explanation:

As given that

L:W=5:4

L/W=5/4

L=(5/4)W

hence we also know that

Area of rectangle= L*W

As given A=160m2

putt the value of A and L=(5/4)W in above equation ,

hence      160 = (5/4)W * W

W^2 = 160*4/5

W^2 = 32*4

W^2=128

taking square root  

W= +_ 11.3  

but length can't be negative so we take positive value of W  

W=11.3 m

Now for L putt in above equation,

L=5/4 * 11.3 = 14.12 m

What is the slope of the line?

Answers

Answer:

3

Step-by-step explanation:

down 3 over 1 3/1 or 3.

Hope this helps plz hit the crown ;D

2(x+1)= - 8x +12+ 10x -10

Answers

Answer:

all real numbers

Step-by-step explanation:

distribute the 2

2x+2=-8x+12+10x-10

combine like terms on each side

2x+2=2x+2

0=0

all real numbers

please help i have to get this all done by tommorw

Answers

Graph the inequality by finding the boundary line, then shading the appropriate area.

Jennifer's grade on a math quiz was a 85%. There were 20 questions on the quiz.

Answers

Answer:

She got 16/20 on the test

Step-by-step explanation:

Just divide 16/20 and the answer is 80%

the perimeter of a rectangle is (8x + 7y) feet, give two possible dimensions of the rectangle

please help ?? ​

Answers

Answer:

Two possible dimensions of the rectangle are 4x and 7/2 y.

Step-by-step explanation:

The Perimeter of a Rectangle

It's given the perimeter of a rectangle is

P = 8x + 7y

The formula to calculate the perimeter of a rectangle of dimensions L and W is:

P = 2W + 2L

Equating term by term, we can guess two possible dimensions of the rectangle:

2W = 8x

Dividing by 2:

W = 4x

And also:

2L = 7y

Dividing by 2:

L = 7/2 y

Thus, two possible dimensions of the rectangle are 4x and 7/2 y.

The whole number 24 is equivalent to ​

Answers

Answer:

24/1 please mark as brainliest

Answer: 24/1
Explanation: this would be 24/1 because when the denominator is a one whatever the top number is is a whole number.


What do you notice about dividing numbers with the same base?

Answers

Answer:

it's the one all the way to the right

Which expression best estimates. -18 1/4 ÷ 2 2/3 A. 18÷3 B. -18÷3 C.-18÷(-3) D. 18÷(-3)​

Answers

Answer:

the amswer is d hope this helps

1-:4(x-3)=5 what is x

Answers

Answer:

x = 23

Step-by-step explanation:

1/4(x-3)=5

Multiply both sides by 4.

x - 3 = 20

Add 3 to both sides.

x = 23

someone help 6th grade math i will give brainliest

Answers

The first one is 64. The second one is -64. Third is 10000

Answer:

The first on is 64.

The second one is -64.

The last one is 10,000.

Step-by-step explanation:

I hope this helps! :)

If A = 50 degrees, B = 62 degrees, and a = 4, find b.

Round to the nearest tenth.​

Answers

Answer:  4.6

=================================================

Work Shown:

Use the law of sines

b/sin(B) = a/sin(A)

b/sin(62) = 4/sin(50)

b = sin(62)*4/sin(50)

b = 4.61042489526572

b = 4.6

Make sure your calculator is in degree mode.

870 g of brass contains 40 percent zinic and the rest is copper.find the mass of zinic and copper in the alloy​

Answers

Step-by-step explanation:

Mass of Zinc = 870g * (40/100) = 348g.

Mass of Copper = 870g - 348g = 522g.

Mass of zinc = 40/100*870 = 348

Mass of Copper = 60/100*870 = 522

Therefore, the mass of zinic in the alloy is 348 and the mass of copper in the alloy is 522.

2 tickets cost $14. How many tickets can you buy with $63

Answers

Answer:

9 tickets

Step-by-step explanation:

If two tickets cost 14 dollars, then each ticket will cost 7 dollars

63/7=9

You can buy 9 tickets

Answer:

You can buy about 31 tickets

Step-by-step explanation:

Which of the following may be used as reasons in a two-column proof? Select all that apply.

Answers

Answer:

definitions, theorems, postulates, properties, and "given"

Step-by-step explanation:

Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.

Quotes and opinions are not statements of fact, and cannot be used in proofs.

Find the prime factor of the number 3825.​

Answers

Answer:

the answer is 3×3×5×5×17=3825 use prime factorization

Evaluate this expression when x is -250

-2x+400

Answers

Answer:

900

Step-by-step explanation:

-2(-250)+400

or, 500+400

=900

Please mark me as brainliest

you can now mark them as brainliest

If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then? her account balance is $-50 to start out with

Answers

Answer:

25

Step-by-step explanation:

because 75 - 50 = 25

The Clare account balance after the deposit of $75 will be $25.

What is subtraction?

To subtract in mathematics is to take something away from a group or a number of objects.

In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.

As per the given,

The account balance initial = -$50

The amount of deposition = $75

Total amount = -$50 + $75

⇒ $25

Hence"The Clare account balance after the deposit of $75 will be $25".

For more about subtraction,

https://brainly.com/question/1927340

#SPJ2

Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .

Answers

Answer:

y= 3/4x + 6.4

Step-by-step explanation:

If your teacher asks why it's so specific tell them you used desmos <3

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