4.Given AABC, with AB = 5cm, BC = 7cm and AC = 8cm, what is the area of the triangle?

Answers

Answer 1
In Triangle ABC
We have AB=5 cm
BC=7 cm
AC=8 cm

Use Heron's formula with
sides a,b and c
Perimeter,s=(a+b+c)/2
Area= √s(s−a)(s−b)(s−c)

S=(AB+BC+AC)/2
=(5+7+8)/2
=20/2
=10cm

Area of ABC= √10(10-5)(10-7)(10-8)
= √10(5)(3)(2)
= √300
=17.3205 cm

Related Questions

Please need help thank you

Answers

free points since someone already answered

A board 14 1/4 inches long is cut from a board that is 4 feet long. If the width of the saw cut is 1/8 inch, what is the length of the remaining piece?

Answers

Answer:

Step-by-step explanation:

From the given information;

since;

1 feet = 12 inches long

Then, 4 feet = (4 × 12)inches long

= 48 inches long

Thus, the length of the remaining piece is calculated as follows:

Length of remaining piece = Total length of piece - (piece that was being cut + width )

[tex]= 48 - (14 \dfrac{1}{4}+ \dfrac{1}{8})[/tex]

[tex]= 48 - ( \dfrac{57}{4}+ \dfrac{1}{8})[/tex]

[tex]= 48 - ( \dfrac{114+1}{8})[/tex]

[tex]= 48 - ( \dfrac{115}{8})[/tex]

[tex]= \dfrac{269}{8}[/tex] inches

8y-2x=-72 in slope form

Answers

Answer:

y=1/4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b.

8y-2x=-72

Add 2x to both sides

8y=2x-72

Divide both sides by 8.

y=1/4x-9

HTH :)

Been trying to get this one answered for months, will make the first one to answer a brainliest :D Please explain how you did it so I can do the next one? Thanks in advance

Answers

Answer:

[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

In order to find the slope of a line you must find where the points intersect, use the formula for slope, substitute values, and simplify if needed.

In this case we were already given the points for slope:

[tex]P1=(-4,-4) = (x1,y1)[/tex]

[tex]P2=(-2,3)=(x2,y2)[/tex]

Slope formula:

[tex]slope = \frac{y2-y1}{x2-x1}[/tex]

Now substitute:

[tex]\frac{-2--4}{3--4}[/tex]

Solve using KCC: (Keep, Change, Change)

[tex]-2+4=2[/tex]

[tex]3+4=7[/tex]

=[tex]\frac{2}{7}[/tex]

Because the slope isn't a negative you do not need to simplify the answer.

Hope this helps.

I need help please.​

Answers

Answer:

e

Step-by-step explanation:

Complete the point-slope equation of the line through (−5,4) and (1,6).
Answer:
y-6=

Answers

Y-4=1/3 times (x+5) :)
Slope intercept form Y=1/3x+17/3

What can run but cannot walk?
Please help

Answers

Answer:

River

Step-by-step explanation:

ok dear

River can run the water fast but can't walk

River because the water RUNS, it does not WALK

The mean score on a set of 16 tests is 90. What’s the sum of all the test scores?

Answers

It should be 90 because in question it says that

PLEASE I NEED HELP ASAP THIS IS ALSO MIDDLE SCHOOL/ pancho writes a check for $140 a month for the electric bill. He writes another check for $105 four times a year for the water bill. He writes a check for $55 a month for the phone and internet bill. Write an expression involving multiplication and addition to describe how these expenses affect his checking account balance on a yearly basis. Then evaluate the expression and explain its meaning.

Answers

Answer:

140x12+105x4+55x12= 86,340 a month

Step-by-step explanation:

Johnny made 8 benches in 2 hours. At this rate, how
many benches will he make in 9 hours.



plzzzzzzzzzz!!!!!!!! help on thissss

Answers

Answer:

36

Step-by-step explanation:

4 benches in 1 hour

? benches in 9 hours

36 benches

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

36 is the answer :)

Step-by-step explanation:

which expression is equivalent to to 4(3+5)-3.92

Answers

Answer:

C: 12+20-54

Step-by-step explanation:

4(3+5)-3.92= -22

12+20-54= -22

:))

what is the correct evaluation of 3x-x+2,when x is equal to -4?

14

-6

6

-14​

Answers

-6 is the correct answer !


3(-4)-(-4)+2
-12+4+2
-8+2
-6

Answer:

(b) -6

Step-by-step explanation:

=3x-x+2

=3(-4)-(-4)+2

=-12+4+2

=-12+6

=-6

2.5 divided by 1.5 round to nearest tenth

Answers

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

PLEASE HELP!!!!!!!
The temperature is 56°F. The temperature decreases for 6 hours. Each hour, the temperature decreases by 3°F. Then the temperature rises 12°F in one hour. What is the temperature after 7 hours?

Answers

Answer:

50 degrees

Step-by-step explanation:

3 x 6 = 18

56 - 18 = 38

38 + 12 = 50

if there were 1600 frogs shaking their butts on lily pads and 199 of them leave how much frogs are still shaking their butt on lily pads

Answers

Answer:

if there were 1600 frogs shaking their butts on lily pads and 199 of them leave, 1401 frogs will still be shaking their butts.

Step-by-step explanation:

A case of woods screws wieghs 18 2/3 pounds.each individual box of woods screws wieghs 1 1/3 pounds. How many individual boxes of wood screws are in the case?

A. 5
B. 9
C. 14
D. 20

Answers

B maybe I’m not sure

what is 60,000,000,000+800.000,000,000=?

Answers

Answer:

130.000,000,000

:)

Step-by-step explanation:

888383883838383dStep-by-step explanatio

PLEASE HELP!!!!! -x+y= -2

A 5,3

B 4,2

C 3,1

D 2,0

Answers

The answer is all of the above

Answer:

All of the above.

Step-by-step explanation:

All of the above are equal to 5,2. I hope this cleared things up! ^w^

What is the absolute value of the complex number 4-V3/?
O 32
O 14
O 18

Answers

Answer:

[tex]3\sqrt{2}[/tex]

Step-by-step explanation:

The Magnitude of a Complex Number

A complex number is expressed in rectangular form as:

[tex]Z=a+ b\mathbf{ i}[/tex]

The absolute value or magnitude of Z is calculated as follows:

[tex]\mid Z\mid=\sqrt{a^2+b^2}[/tex]

We are given the number

[tex]Z=-4-\sqrt{2}\mathbf{ i}[/tex]

Here: a= -4, b=[tex]-\sqrt{2}[/tex]

Calculating the absolute value:

[tex]\mid Z\mid=\sqrt{(-4)^2+(-\sqrt{2})^2}[/tex]

Operating:

[tex]\mid Z\mid=\sqrt{16+2}=\sqrt{18}[/tex]

Factoring 18:

[tex]\mid Z\mid=\sqrt{3^2*2}[/tex]

Taking the square root of 3^2:

[tex]\mid Z\mid=3\sqrt{2}[/tex]

Answer: [tex]\mathbf{3\sqrt{2}}[/tex]

Four movie tickets cost $36. At this rate, what is the cost of 5 and 11 movie tickets Please answer!

Answers

For 5 movie tickets it’s $45 and for 11 it’s $99

what is an equation with more than one variable called
a.a literal equation
b.a variable
c.an expression
d.a quadratic equation​

Answers

Answer:

option A

a variable is a number which is always changing

an  expression doesn't have an equal sign

a quadratic equation is an equation which has one variable but the highest power of that variable is 2

so the answer is a literal equation or linear equation in two variables

A) literal equation

Solve the system of equations.
x + 3y = -1
2x + 2y = 6

Answers

Answer:

y= -2

x = 5

Step-by-step explanation:

Multiply the top equation by 2 to get

2x + 6y = -2

then subtract the bottom equation by the new equation to get

2x + 6y = -2

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

2x + 2y = 6

which is

4y = -8

y = -2

If y = -2

Then plug -2 into y in the top equation to get x + 3(-2) = -1 and simplify which is

x + (-6) and add 6 to both sides to get x = -1 + 6

which is x = 5

(PLZ ASAP ANSWER !!!!!!)The number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the first mark to the left of 0. The region to the left of the empty circle is shaded. Which statement explains whether −2.5 can be a value in the shaded region? (5 points) Yes it can, because −2.5 lies to the left of −0.5. Yes it can, because −2.5 lies to the right of −0.5. No it cannot, because −2.5 lies to the left of −0.5. No it cannot, because −2.5 lies to the right of −0.5.

Answers

it is a. Yes it can, because −2.5 lies to the left of −0.5. plz mark me as brainiest and tell me if I am wrong

Write a problem in which$180 would be a reasonable answer

Answers

Answer:

um ill do to cause im in algerbra

Step-by-step explanation:

$30+$150=$180

5x+105=180

5x=75

x=15

Answer:You have to buy Christmas presents for your 3 kids Samantha wants the harry potter book set 50$ Casey want the sims 4 game 40$ and your oldest kid Johnny wants the new  drone 90$.

Step-by-step explanation:

If there are 32 desks in the classroom and 25% of them are broken, how many
desks are broken?
4
10
8
5

Answers

Answer: 8 of them are broken

Answer:

32 × 25

100

16 × 25

50

8 × 25

25

200

25

8

The answer is 8

Edit:-

i had made a calculation error in this answer...

i realised my mistake and corrected it...

im sorry for the inconvienience caused...

future readers of this answer, do not thank this answer, i dont deserve it...

Verbal description of a rotation requires: Click all that apply.

-Center Point

-Horizontal Movement

-Vertical Movement

-Degree of Rotation

-Scale Factor

-Direction of Rotation

Answers

Answer:

A

C

D

Step-by-step explanation:

I copied some smart kid

The answer is A, C , And D

ADD NOTE
QUESTION GUIDE
EXIT TEST
6.
Raul spent 2
hours shopping for new clothes on Saturday,
1
O
Raul spent
hours shopping for shoes.
10
3
• He spent hour shopping for pants
2
• He spent
hour shopping for shirts
3
• He spent the rest of the time shopping for shoes
о
Raul spent
5
7
hours shopping for pants and shirts.
Raul spent the same amount of time shopping for shoes
as he spent shopping for pants.
O
Based on this information, which statement is true?
о
1
Raul spent
hours more time shopping for shoes than
6
he spent shopping for shirts.
e
CLEAR ALL

Answers

Answer:

D. Raul spent the same amount of time shopping for shoes as he spent shopping for pants

Step-by-step explanation:

just trust me :)

In a fruit basket there are 9 bananas 4 apples and 3 plums 1. The ration of bananas to apple is ________:_________. 2. The ration of plums to apples is __________to________. 3. For every __________apples, there are ______plums. 4. For every 3 bananas there is one _________.

Answers

Answer:

1. 9:4 2. 3:4 3. for every 4 apples there are 3 plums 4. plum

Step-by-step explanation:

1. there are 9 bananas and there are 4 apples.

2. there are 3 plums and there are 4 apples

3. there are 4 apples so there are 3 plums

4. 9 divided by 3 = 3. 3 divided by 3 = 1

Joey's Cafe has regular coffee and decaffeinated coffee. This morning, the cafe served 35
coffees in all, 7 of which were regular. What percentage of the coffees were regular?
Write your answer using a percent sign (%).

Answers

Answer:

20%

Step-by-step explanation:

Step 1:

7/35         Divide

Step 2:

1/5         Simplify

Step 3:

20/100        Multiply

Answer:

20%

Hope This Helps :)

Answer:

Joey's Cafe sold 20% regular coffee and 80% decaffeinated coffee.

Step-by-step explanation:

We are given that the cafe served 35 coffees. We are also told that of those 35 coffees, 7 coffees were regular.

Therefore, we can divide the number of regular coffees by the total number of coffees sold to get the percentage of regular coffees.

Our ratio will be set up as 7 regular coffees : 35 total coffees. We can also represent this as a fraction.

[tex]\displaystyle\frac{7}{35}=\frac{1}{5}\\\\\frac{1}{5}=0.2\\\\0.2 \times 100 = 20\%[/tex]

Therefore, of the coffees sold at the cafe, 20% of those coffees were regular.

Additionally, we can subtract this percentage from 100 to find out how much of the sales were decaffeinated coffee.

[tex]100\% - 20\% = 80\%[/tex]

Joey's Cafe sold 80% decaffeinated coffee.

Diane ran 28.6 miles in a marathon She averaged 6 minutes per mile. How many total minutes did Diane run?

Answers

Answer:

171.6 minutes

Step-by-step explanation:

28.6*6

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