Mathematics High School

Solve for the area of this triangle, explanation would be greatly appreciated!

Solve For The Area Of This Triangle, Explanation Would Be Greatly Appreciated!

Answers

Answer 1

9514 1404 393

Answer:

  13√731 ≈ 351.48 cm²

Step-by-step explanation:

When given three sides of a triangle, there are a number of ways that the area may be calculated. Perhaps the most straightforward is the use of Heron's formula.

Where s is the semi-perimeter, the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . . . s = (a+b+c)/2

Here, the value of s is ...

  s = (30 +30 +26)/2 = 43

  A = √(43(13)(13)(17)) = 13√(43·17)

  A = 13√731 ≈ 351.48 . . . . . square centimeters

_____

Additional comments

This triangle is isosceles, so the altitude can be found from the Pythagorean theorem:

  h² +13² = 30²

  h = √(900 -169) = √731

Then the area is ...

  A = (1/2)bh = (1/2)(26 cm)(√731 cm) = 13√731 cm²

__

You can also find one of the angles using the Law of Cosines, then find the area from ...

  Area = (1/2)a·b·sin(C) . . . . . . for any two sides a, b, and enclosed angle C

__

Ultimately, all of these methods are equivalent to Heron's formula.

Solve For The Area Of This Triangle, Explanation Would Be Greatly Appreciated!

Related Questions

how much higher is -200 than 450m

Answers

Answer:

It's not. -200 isn't higher but if you're asking how much higher 450 is over -200, then it would be 650 meters

Carter bought 3/4 yard of fabric for an art project. He used 3/8 yard of the fabric. What fraction of a yard of fabric does Carter have left?

Answers

Answer:

3/8

Step-by-step explanation:

He purchased 3/4 yard of fabric, then used 3/8 of it. You would need to subtract the 3/8 from 3/4 because the fabric is being used up.

Find the volume of the sphere.
Either enter an exact answer in terms of pie or use 3.14 for Pie

Please please help me

Answers

Answer:

The volume of a sphere is 4/3 * πr³

With a radius of 3, you've got:

4/3 × π3³

= 4/3 × π × 27

= 4 × π × 9

= 45π

Please help! Brainliest, stars, and hearts! Explain please! I GIVE BRAINLIEST if CORRECT!

Answers

Answer:

x=31

Step-by-step explanation:

3x+25+2x=180°

=5x=155°

x=155/5

x=31

Use words and symbols to describe the value of each term as a function of its position. Then find the value of the twelfth term in the sequence.

Answers

Answer:

21 for the first one, 144 for the second

Step-by-step explanation:

If you're seeing the same problem I am in class, the rule is: N + 9

N is equal to 12 in this equation

12 + 9 is 21.

So, the answer is 21

If there is a second problem, like there is for the one I'm seeing, then this is the answer for that-

Is 12(12)= 144

Hope this helps!

(By the way, I'm horrible at math so this could be completely wrong)

Expand and simplify (x+3)(x-4)

Answers

Answer:

Step-by-step explanation:

Use FOIL method.

F - First ; O - Outside ; I - inside ; L - last

(x + 3)(x - 4) = x*x + x*(-4) + 3*x + 3*(-4)

                  = x² - 4x + 3x - 12

                  = x² - x  - 12

What is the slope of the line that passes through the points (9,6) and
(5, -8)?

Answers

y2-y1
--------
x2-x1

-8-6
---------
5-9

-14
-----
-4

= 14/4

= 7/2

A cheetah can run 350 miles in 5 hours. What is its unit rate in miles per hour?

Answers

Answer:

70 MPH

Step-by-step explanation:

Simply divide 350 by 5.

350/5 is 70.

Answer:   70   mph

Step-by-step explanation:


Without graphing, tell if the coordinate (-3,-15) is a solution
to the inequality shown below by choosing TRUE or FALSE.
2x – y < 5
True
False

Answers

Answer:

False

Step-by-step explanation:

That's your answer


What is the reference angle or quadrantal angle of sin330°?

Answers

Answer:

-1/2

Step-by-step explanation:

Exact form:-1/2

Decimal form: -0.5

Hope that helps.

If it is correct please click on the crown (only if my answer is correct)

Thank you

19NBoli

3
50%
Draw angle ABC of size 65º.
A-
B
X+

Answers

65* It is drawn with a round ruller...

NEED HELPP PLZZZZZZZZ

Answers

Answer:

Step-by-step explanation:

Answer:

radius = diameter/2

diameter =6

radius=6/2=3

answer 3 units

Can someone help me answer these questions

Answers

Answer:

d

d

d

d

THERE ALL D

Step-by-step explanation:

They are actually all D

HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2

Answers

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

I can not Put Out The Points So Im sorry.

2.
Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $4 for
children. Ninety-four adults and children attended, and $592 was made in ticket sales. How
many children and how many adults went to the film premiere?

Answers

Answer:

72 adults

22 children

Step-by-step explanation:

Let c = no. of children

     a = no. of adults

Then 4c = total sales for the children and

         7a = total sales for the adults

So,   a + c = 94      and 7a + 4c = 592  

                                    -4a - 4c = -376

                                      3a = 216

                                        a = 72 adults

        72 + c = 94

                c = 22 children

Which value of x makes the equation
-5x = -35 true?

Answers

x=7 cause -5(7) = -35

Find a.
Round to the nearest 10th.
its not 46.5!!

Answers

Answer:

a = 24

Step-by-step explanation:

sin 12° / 10 = sin 150° / a

cross-multiply:

a · sin 12° = 10 · sin 150°

a = 5 / sin 12°

a = 24

Answer:

a = 24

Step-by-step explanation:

This is for the guy that wants brainliest :)

Find the missing term.
... 14,_. 15,-..
0.5
1
14.5
29

Answers

Answer:

14.5

Step-by-step explanation:

it is literally in the middle of 14 and 15

1 because 14-15=2 in pretty sure

If f(x)=x+5, what is f-'(x)?

Answers

Step-by-step explanation:

Given

f(x) = x + 5

Let

y = f(x)

y = x + 5

Interchanging the roles of x and y we get

x = y + 5

y = x - 5

f^-1 (x) = x - 5

Hope it will help :)

What is 1 17/20 as a percent

Answers

185 Percent

Explanation: Did it on my calculator. :/
Photomath is better

When solving this system by elimination, which variable is the most convenient to eliminate,
x or y?
2x + y = 7
3/2 x - y = 7/2

Answers

Answer:

Y is the appropriate variable and the most easiest and convenient to eliminate

name 2x + y = 7 as equation i

and 3/2 x - y = 7/2 as equation ii

then add equation i and ii together

(3/2 + 2) x + y - y = (7 + 7/2)

(7/2) x = (21/2)

x = 3

then put in x = 3 in equation i

4 + y = 7

x = 7 - 4

x = 3

Therefore x = 3 and y = 3

Write an equation in point-slope form for the line through the given point with the given slope. (3,−4);m=−14

Answers

Answer:

y=-14x-4

Step-by-step explanation:

Answer:

y + 4 = - 14(x - 3)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = - 14 and (a, b ) = (3, - 4 ) , then

y - (- 4) = - 14(x - 3) , that is

y + 4 = - 14(x - 3)

Plz help ill give you all my points plzzzzzz help

Answers

Answer:

100

Step-by-step explanation:

340 - (4 * 60) = 100

I WILL GIVE 5 STARS SAY THANKS AND MARK BRAINLIEST FOR RIght While training for a marathon, Jan lost 4.2% of her mass. If she lost 2.1 kg, what was her mass, in kilograms, before she started training?

Answers

Answer:

50 kg

Step-by-step explanation:

The price of a gallon of gasoline is $3.15. The price when Ryan's mother started driving was of the current price. What was the price of gasoline when Ryan's mother started driving?

Answers

Answer:

2/7, $0.23

Step-by-step explanation:

Answer:

0.48

Step-by-step explanation:

i got it right

The mode and median of the data set below have the same value. What is the missing number?


[4, 15, 7, 13, ?, 10

please someone help!​

Answers

10 ! (To find the median add the two middle numbers 7,13 = 20 divide 20 by two and you get 10 as your median. Mode means the most common number which means the mode is also 10)

4/5 cm * 3/8 cm
please answer fast ​

Answers

Answer:

= 3/10 cm or you can put 0.3 cm

What’s the size of angle x

Answers

the size is 133°, you do 180 - 47

Answer:

the answer of your question x=47

The ratio of two supplementary angle is 3:1. Find the measures of both angles.

Answers

Answer:

The sum of two angle is 180 (supplementary)

given angle = 3:1

first angle =3x

2 nd angle=1x

3x+1x =180

4x =180

x = 180/ 4

x = 45

so first angle =3x   x = 45

                   = 3×45

                    = 135 degree

2nd angle = 1x

               =45 degree

ans

Both angles are 135 and 45

Step-by-step explanation:

Find the HCF of terms and factorise: 20x3 – 40x2 + 80x​

Answers

Answer:

The largest factor that can be pulled out of that expression is 20x, giving you 20x(x² - 2x + 4)

Step-by-step explanation:

20x³ - 40x² + 80x

= 20x(x² - 2x + 4)

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