If a = 20 mm, b = 12 mm, and m∠C = 80°, what is the approximate area of ABC?

Answers

Answer 1

Answer:

118.18 mm^2

Step-by-step explanation:

Sides a and b form angle C, so the information given is a side-angle-side (SAS) problem.

Use the formula [tex]A=\frac{1}{2}ab\sin{C}[/tex].

[tex]A=\frac{1}{2}(12)(20)\sin{80^\circ} \approx 118.18 \rm \,mm^2[/tex]


Related Questions

You roll a number cube once.
what is the theoretical probability that you roll a 3 or 4?

Answers

Answer:

3 = 1/6 chance 4 = 1/6 chance

Step-by-step explanation:

BECAUSE there are 6 numbers on a number cube and there is no ganruntee that it will land on 4 or 3 so its a 1/6 chance that it will land on them.

Answer:

1/6

Step-by-step explanation:

A dice (Number cube in this case) has six sides, in only which one side is three and one side is 4.

Point B has coordinates ​(​1,2​). The​ x-coordinate of point A is -8. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer:

The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

[tex]l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}[/tex] (1)

Where:

[tex]l_{AB}[/tex] - Length of the line segment AB.

[tex]x_{A}, x_{B}[/tex] - x-coordinates of points A and B.

[tex]y_{A}, y_{B}[/tex] - y-coordinates of points A and B.

If we know that [tex]l_{AB} = 15[/tex], [tex]x_{A} = -8[/tex], [tex]x_{B} = 1[/tex] and [tex]y_{B} = 2[/tex], then the possible coordinates of point A is:

[tex]\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15[/tex]

[tex]81 + (2-y_{A})^{2} = 225[/tex]

[tex](2-y_{A})^{2} = 144[/tex]

[tex]2-y_{A} = \pm 12[/tex]

There are two possible solutions:

1) [tex]2-y_{A} = -12[/tex]

[tex]y_{A} = 14[/tex]

2) [tex]2 - y_{A} = 12[/tex]

[tex]y_{A} = -10[/tex]

The possible coordinates of point A are [tex]A_{1} (x,y) = (-8, 14)[/tex] and [tex]A_{2} (x,y) = (-8, -10)[/tex], respectively.

the sides across from each other are called_____ sides

Answers

Answer: Vertical Angles are the angles opposite each other when two lines cross.

Step-by-step explanation:

Answer:

hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle

Step-by-step explanation:

Jane bought 5 hot dogs at h dollars each 3 soft drink at s dollars each what is the total cost in dollars of the hot dogs and the software drinks

Answers

Answer:

Total cost = $5h + $3s

Step-by-step explanation:

total cost of hot dog = price of hot dog x quantity of hot dog = 5 x $h

total cost of softdrink = price of softdrink x quantity of softdrink = $3s

total cost = $5h x $3s

3. Four pencils and two pens cost $0.74. Six pencils and five pens cost $1.53.
Find the cost of a pencil and a pen.

Answers

Answer: The cost of a pencil and a pen is 8 cents

62,53,44,35
find a20

Answers

Answer:

a20 = -108

Step-by-step explanation:

53 - 62 = -9

44 - 53  = -9

35 - 44  = -9

Then the intervall is -9

The first number is 63

63 + (19*-9) = 63 - 171 = -108

Simplify this radical.


Answers

Answer:

There is nothing else. There is no radical

A store is having a sale in which all items are 20% off. If p is the original price of an item, then the equation p - 0.2p = 0.8p can be used to find the sale price
find the sale price


help

Answers

Answer:

Answer Expert Verified

We are given that there is a 20% sale in the store. Moreover, the sale price of an item is p - 0.2p, where p is the price of the item. So, we get that, p - 0.2p is equivalent to 0.8p

What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)

Answers

Answer:

A.    (4x+1)(2x squared -2)  you would simply distribute the numbers.

4x(2x squared) + 4x(-2) + 1(2x squared) + 1(-2)

Step-by-step explanation:

How many students received Ds or Fs?

Answers

Answer:

15% of the students got d's, and 5% got f's.

Answer:

15% Of Students!

Hope that this helps!!! :)

How many square feet of outdoor carpet will we need for this hole

Answers

Answer:

36 square feet

Step-by-step explanation:

To get the answer you need to find the area of the triangle and subtract area of the rectangle.

7*12/2 = 42

42 - 3*2 = 36


What is the area 68ft,34ft,30ft,36ft

Answers

Answer:

168

____________________________

A trader bought 40 shirts for Birr 220 and sold them at Birr 72 each
Find the profit percentage.

Answers

Given:

Cost price of 40 shirts = Birr 220

Selling price of each shirt = Birr 72

To find:

The profit percentage.

Solution:

We have,

Cost price (CP) of 40 shirts = Birr 220

Selling price (SP) of each shirt = Birr 72

So, the selling price (SP) of 40 shirts is:

[tex]72\times 40=2880[/tex]

We need to find the profit percentage.

[tex]\text{Profit percentage}=\dfrac{SP-CP}{CP}\times 100[/tex]

[tex]\text{Profit percentage}=\dfrac{2880-220}{220}\times 100[/tex]

[tex]\text{Profit percentage}=\dfrac{2660}{220}\times 100[/tex]

[tex]\text{Profit percentage}=1209.09\%[/tex]

Therefore, the profit percentage is 1209.09%.

Please help me!!!! please

Answers

It’s C. It’s pretty easy, draw a graph number it to 10, than put a dot for every amount of numbers you see for a certain number. Hope this help. PASS THIS CLASS BRO !

which equation has both 4 and -4 as possible values of y?

Answers

Y2=16
Because
-4x-4=16
And
4x4=16

Mhanifa please help this is due soon !

Answers

Answer:

#1

Verify the ratios of corresponding sides are same

ΔABC and ΔXYZ

12/18 = 15/25.20.666 ≠ 0.595No

ΔDEF and ΔXYZ

10/18 = 14/25.20.555 = 0.555Yes#13

Define the scale factor and use it to fid the missing sides

Scale factor is:

k = 9/21 = 3/7

The other sides:

42*3/7 = 1835*3/7 = 15

what kind of number is 4

Answers

Answer: Its a whole number. It is a composite number.

Step-by-step explanation:

✨20 points✨
Madeline invests $25,000 in an account that offers a compound interest rate
of 9.5% per year. Which of the following is the correct equation for how much
Madeline will have after 8 years?

Answers

b

25,000 x (0.95)*8 means the interest changes every year and the interest is calculated of the annual rate

The correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex]  which is in option [tex](b)[/tex].

What is compound interest ?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest

Amount [tex]=P(1+\frac{R}{100})^t[/tex]

We have,

Principal [tex]=\$25,000[/tex]

Rate[tex]=9.5\%[/tex]

Time [tex]=8[/tex] years

Now,

Using the above mentioned formula,

Amount [tex]=P(1+\frac{R}{100})^t[/tex]

              [tex]=25000(1+\frac{9.5}{100})^8[/tex]

Amount [tex]=25000(1+0.095)^8[/tex]

So, the equation for final amount  is [tex]25000(1+0.095)^8[/tex].

Hence, we can say that the correct equation for how much Madeline will have after [tex]8[/tex] years will be [tex]25000(1+0.095)^8[/tex] which is in option [tex](b)[/tex] .

To know more about Compound interest click here

https://brainly.com/question/13155407

#SPJ3


Which of the following are always congruent?
Adjacent angles
O Vertical angles
O Adjacent AND vertical angles
O Complementary angles

Answers

Answer: Vertical angles.
Have a good day!
Answer:

Vertical angles

Explanation:

Vertical angles are always congruent, which means that they are equal. These Angles also share a vertex and are opposite from each other.





Determine the area of the trapezoid.

Answers

Answer:

A=87.5

Step-by-step explanation:

Hope im right and this helps you

Inspiration from Polo G!!

Answers

okayyyyyyyyyy??? bozo

Answer:

Oh that's great a.f

Step-by-step explanation:

Is he a rapper

PWEASE HELP HELP HELP HELP

Answers

Answer:

sorry for the messy handwriting- hope this helps

Step-by-step explanation:

Answer:

4 x 4 = 16

5 x 12 = 60

_________+

76

A language arts test is worth 100 points. There is a total of 26 questions. There are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there?

Answers

Answer: 3.8 should be your answer hope this helped

Step-by-step explanation:

pleas make brainly

How many million bacteria were in the dish at 11 am

Answers

Answer:

im believing 57

Step-by-step explanation:

please mark this answer as brainliest

Answer:

1/2

Step-by-step explanation:

help me due in 10 min
Triangle D E F is congruent to triangle G H I.
Which of the following statements are correct?
Select all that apply.

Triangle ABC is congruent to triangle DEF.
Triangle DEF is congruent to triangle GHI.
Triangle ABC is congruent to triangle GHI.
All three triangles are congruent.

Answers

Answer:

Triangle DEF is congruent to triangle GHI.

You can use the process of elimination to get that. All three are not because when u look at their angles and their side. Triangle ABC is not like the others. And abc is not congruent to def because of the angles and the sides.

Step-by-step explanation:

:D

Answer: I think you just answered your own question with the first sentence you wrote. Still not sure what the answer is?

The answer is B. or option 2. Triangle DEF is congruent to triangle GHI.

Step-by-step explanation:

The answer was correct on Edge 2022 instructional assignment.

Trust me I got it right the proof is down below.  Best of luck. :)

It took a train 2 3/5 hours to travel 87 1/10 miles. What was the train's
average rate of speed?

Answers

Step-by-step explanation:

speed = distance/speed

= 871/10 ÷ 13/5

= 871/10 × 5/13

= 67/2 = 33.5miles/hour

If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tenth.

Answers

Answer:

12.71in

step explanation:

The Length of an arc given is expressed as;

A = theta/360 * 2πr

10 = 45/360 * 2 * 3.14r

10 = 1/8 * 6.28r

Cross multiply

10 * 8 = 6.28r

80 = 6.28r

r = 80/6.28

r = 12.74in

Hence the radius is 12.71in

Which of the following statements are true about this function: f(x)=sin x − 3

Select 3 correct statements.

The midline equation is y = 3

The midline equation is y = - 3

The function crosses the y-axis at (0, -3)

A nearby maximum can be found at (1.57, -2) or (π/2, -2)

A nearby maximum can be found at (3.14, -2) or (π, -2)

Answers

Step-by-step explanation:

The function crosses the y-axis at (0, -3)

A nearby maximum can be found at (1.57, -2) or (π/2, -2)

A nearby maximum can be found at (3.14, -2) or (π, -2)

The function crosses the y axis at (0,-3)

i'll give you these points if you answer some of these questions. seriously.

Answers

Answer:

Yummy chicken legs

Step-by-step explanation:

I like mcdonals and im a chicken wing

A map uses a scale of 3/4 in = 80 miles. If two buildings are 60 miles apart in real life, how far apart would they be drawn on the map?

Answers

Given:

The scale of a map is [tex]\dfrac{3}{4}\ in=80\ miles[/tex].

The distance between two buildings is 60 miles.

To find:

The distance between the given building on the map.

Solution:

We have,

[tex]\dfrac{3}{4}\ in=80\ miles[/tex]

It means, 80 miles in real life = [tex]\dfrac{3}{4}\ in[/tex] on the map.

1 mile in real life = [tex]\dfrac{3}{4\times 80}\ in[/tex] on the map.

60 mile in real life = [tex]\dfrac{3\times 60}{4\times 80}\ in[/tex] on the map.

                              = [tex]\dfrac{180}{320}\ in[/tex] on the map.

                              = [tex]\dfrac{9}{16}\ in[/tex] on the map.

Therefore, the buildings are [tex]\dfrac{9}{16}\ in[/tex] apart on the map.

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