1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
3 years ago
12

work out the total area of triangle ABC. calculate the area of AC. sides are:8.2cm and 13.5cm and angle 81 degrees

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

54.67 cm²

Step-by-step explanation:

Given that the two sides of Δ ABC are 8.2 cm and 13.5 cm and the angle included by those sides is 81°.

Let, b = 8.2 cm and c = 13.5 cm and ∠ A = 81°

Hence, area of triangle ABC, Δ = \frac{1}{2} bc \sin A

⇒ Δ = \frac{1}{2} bc \sin 81

⇒ Δ = \frac{8.2 \times 13.5 \times \sin 81}{2}

⇒ Δ = 54.67 cm² (Answer)

You might be interested in
Help me plz with this answer
Lesechka [4]
$52.50 / 42 = 1.25
$1.25 per each slice 
7 0
3 years ago
Read 2 more answers
Emily has 7 cups of water in a jug.If she drinks 2/3 of a cup every hour.How long would it take her to drink the whole jug
zepelin [54]

It would take her 10.5 hours to drink the whole jug.

Step-by-step explanation:

Given,

Cups of water in jug = 7

Water drunk every hour = \frac{2}{3} of cup

Let,

x be the number of hours.

According to given statement;

\frac{2}{3}x=7

Multiplying both sides by \frac{3}{2}

\frac{3}{2}*\frac{2}{3}x=7*\frac{3}{2}\\x=\frac{21}{2}\\x=10.5

It would take her 10.5 hours to drink the whole jug.

Keywords: fractions, multiplication

Learn more about fractions at:

  • brainly.com/question/6459599
  • brainly.com/question/6649771

#LearnwithBrainly

8 0
3 years ago
Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length
Andrei [34K]

Answer:

117 m^{2}

Step-by-step explanation:

First think of the square that was removed.  All 4 sides are equal but you don't know the length so lets gives them the variable X.

So to find the area of the rectangle, insert those variables into the area equation for a rectangle.

(RV + (X) ) (PT +(X)) = rectangle area

Now you are given what the area is if you remove the square.  So subtract the the square's area from the equation above and set it equal to the size they told you.

(RV + (X)) (PT + (X))  - [(X)(X)] = 92m^{2}

      rectangle          -  square  =  remaining area

Now plug in the numbers you know and solve for X.

(8 + X) (4 + X) - ((X)(X)) = 92    

Use FOIL to multiply the first part of the equation (first, outer, inner, last)

32 + 8x + 4x + x^{2} -  x^{2}  =  92

32 + 12x = 92

12x = 60

x = 5

So now you know the size of the square.  Each side is 5m.  So add 5m onto the top of the rectangle and onto the side.  The top is 13m and the side is 9m.  The area of the rectangle is the length times the height to 13 x 9 which is 117 m^{2}

6 0
2 years ago
a half cup of pancakes mix has 5% total daily allowance of cholesterol. the total daily allowance of cholesterol 300 mg. how muc
arsen [322]
Hi there!

Since we know that the pancake mix has 5% of the daily allowance, which is 300 mg, we can just multiply 300 mg with 5 percent to get our answer.

First, let's divide 5% by 100% to know what we are going to multiply 300 mg with.

5% / 100% = 0.05

Let's multiply 300 mg with 0.05

0.05 * 300 = 15 mg

Thus, a 1/2 cup of pancake mix has 15 mg of cholesterol.

Have an awesome day! :)
6 0
3 years ago
What is the rule for the reflection
hram777 [196]

Step-by-step explanation:

We reflect We triangle across both axis so the x and y values will both switch.

Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.

Second Quadrant are

^;8+1—](

3 0
3 years ago
Other questions:
  • A toy plush weighed 1/5 of a pound. a flimsy box can hold 3 pounds. how many toy plushes could the box hold?
    11·1 answer
  • The population of Adamsville grew from 7,000 to 12,000 in 5 years. Assuming uninhibited exponential growth, what is the expected
    9·1 answer
  • Denali is making curtains for her room. She needs 12 feet of fabric for one curtain and 16 feet for the other. The fabric store
    12·1 answer
  • What the answer for 1/4 x 12
    8·1 answer
  • Describe the transformation from the parent function y=(x+4)^2-1
    10·1 answer
  • There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the
    12·1 answer
  • Which would not be a step in solving 5x + 15 + 2x = 24 + 4x?
    10·1 answer
  • What are roots of quadratic function completing the square x^2+4X-1=0
    15·1 answer
  • Help I need an explanation
    8·2 answers
  • Are these lines parallel explain?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!