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
V125BC [204]
3 years ago
5

a right angle triangle has the perimeter of 96cm. the length of its sides are in the ratio of 6:8:10. work out the area of the t

riangle
Mathematics
2 answers:
deff fn [24]3 years ago
6 0

Answer:

Area = 384 cm²

Step-by-step explanation:

Perimeter = 96 cm

Ratio = 6:8:10

So,

6x+8x+10x = 96

=> 24x = 96

<u><em>Dividing both sides by 24</em></u>

=> x = 4

So, The sides are

=> 24 cm

=> 32 cm

=> 40 cm

<u><em>Now the area using Heron's Formula</em></u>

Area = \sqrt{s(s-a)(s-b)(s-c)}

Where s is the semi-perimeter = 48 cm, a , b and c are the sides

Area = \sqrt{48(48-24)(48-32)(48-40)}

Area = \sqrt{48(24)(16)(8)}

Area = \sqrt{147,456}

Area = 384 cm²

Solnce55 [7]3 years ago
4 0

Answer:

384 centimeters squared.

Step-by-step explanation:

96/(6+8+10)

96/24 = 4

6×4 : 8×4 : 10×4

24:32:40

The length of its sides are in the ratio of 24:32:40

The longest side is the hypotenuse which is 40.

The area is base × height × 1/2 of a triangle.

32 × 24 × 1/2

768 × 1/2

=384

The area of the triangle is 384 cm squared.

You might be interested in
What is the least common multiple of 21 and 30?
Arisa [49]
Answer should be 210
3 0
3 years ago
Read 2 more answers
Which polynomial represents the sum below?
julia-pushkina [17]
A. 5x^2-13x-5 :))))))
5 0
3 years ago
In a factory, 3.25% of the jars of peanut butter produced contains less peanut butter than is advertised on the label. The facto
marshall27 [118]

Answer:

936 jars of peanut butter contain less peanut butter than usual.

Step-by-step explanation:

1. First, we need to find how many jars of peanut butter that contain less peanut butter than advertised are produced every hour.

The factory produces 1200 jars of peanut butter every hour

3.25% of those jars have less peanut butter than advertised

So: multiply (1200*.0325) (the decimal form of the percent) to find the amount of peanut butter jars that contain less peanut butter than advertised.

(1200*.0325) = 39

So the factory produces 39 jars of peanut butter that contain less peanut butter than advertised.

2. Second, we need to find how many jars of peanut butter that contain less peanut butter than advertised in three 8 hour work days.

Lets add these work days together to find the total amount of hours: (8 + 8 + 8) = 24

So: three 8 hour work days totals to 24 hours

Since the factory produces 39 jars of peanut butter that contain less peanut butter than advertised per hour. Multiply (24 * 39) to find the total amount of jars produced in three 8 hour work days.

(24 *39) = 936

A total of 936 peanut butter jars are produced in three 8 hour work days that contain less peanut butter than advertised.

3. If you want to double check your work do the following.

Since the factory produces 1200 jars an hour and 24 hours total three 8 hour work days. Multiply (1200*24) = 28800

So there is a total of 28800 jars produced in three 8 hour work days.

Then you can multiply 28800 by 3.25% of jars that contain less peanut butter to find the total amount of peanut butter jars that contain less peanut butter in three 8 hour work days.

(28800 * .0325) = 936

7 0
3 years ago
AAAAAAAAAAA 65 points please help
nata0808 [166]

Answer:

The distance between E and F is 5 units

Step-by-step explanation:

<em>E</em><em> </em><em>and</em><em> </em><em>F</em><em> </em><em>are</em><em> </em><em>share</em><em> </em><em>the</em><em> </em><em>same</em><em> </em><em>y-coordinates</em><em>.</em><em> </em><em>So</em><em> </em><em>for</em><em> </em><em>this</em><em> </em><em>part</em><em> </em><em>it</em><em> </em><em>is</em><em> </em><em>okay</em><em> </em><em>to not</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>distance</em><em> </em><em>formula</em><em>.</em><em> </em>

<em>So</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>having</em><em>:</em>

<em>E</em><em> </em><em>(</em><em>5</em><em>,</em><em>8</em><em>)</em><em> </em><em>and</em><em> </em><em>F</em><em> </em><em>(</em><em>5</em><em>,</em><em>3</em><em>)</em>

<em>EF</em><em> </em><em>=</em><em> </em><em>8-3</em><em>=</em><em>5</em>

<em>OR</em><em> </em>

<em>YOU</em><em> </em><em>CAN</em><em> </em><em>USE</em><em> </em><em>THE</em><em> </em><em>DISTANCE</em><em> </em><em>FORMULA</em><em> </em><em>AS</em><em> </em><em>INDICAYED</em><em> </em><em>IN</em><em> </em><em>THE</em><em> </em><em>PICTURE</em><em>.</em>

<em>Hopefully</em><em> </em><em>the picture</em><em> </em><em>is clear and understandable</em><em> </em><em>and</em><em> </em><em>younger</em><em> </em><em>the</em><em> </em><em>explanation</em><em>.</em>

4 0
2 years ago
Help fast I need real answers thanks
BaLLatris [955]

What is the question?

4 0
3 years ago
Read 2 more answers
Other questions:
  • Antti entered a 10-kilometer race. His goal is to finish in one hour. He starts off sprinting and completes the first 2 kilomete
    6·1 answer
  • 2.
    11·1 answer
  • What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3. 14 for pi and round y
    5·1 answer
  • What is the slope of the line that passes through the points (3, -4) and (7, 4)?
    15·1 answer
  • Which of the following is 7/18 closest to? <br> 1/2<br> 0<br> 1
    9·2 answers
  • Help me ASAP for this question
    15·1 answer
  • Mia invested $52,000 in an account paying an interest rate of 3.1% compounded
    7·1 answer
  • If it takes 16 yards of material to make 5/2 costumes, how much material will be needed to make 19/2 costumes of that same size?
    7·1 answer
  • Graph ​y+6=45(x+3)​ using the point and slope given in the equation. Use the line tool and select two points on the line.
    11·1 answer
  • O Mr. Math S. Fun is looking for his missing pair of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!