Find the area of the triangle below.
Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth.

Find The Area Of The Triangle Below.Carry Your Intermediate Computations To At Least Four Decimal Places.

Answers

Answer 1

The area of the triangle is the amount of space on it.

The area of the triangle is 85.5 square yard

How to determine the area of the triangle?

The given parameters are:

a = 12 yd

b = 16 yd

c = 15 yd

Start by calculating the semi-perimeter (s)

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (12 + 16 + 15)

s = 21.5

The area of the triangle is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{21.5 * (21.5 - 12) * (21.5 - 16) * (21.5 - 15)[/tex]

Evaluate the product

[tex]A = \sqrt{7301.9375[/tex]

Evaluate the square root

A = 85.5

Hence, the area of the triangle is 85.5 square yard

Read more about areas at:

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Related Questions

Write the word sentence as an equation.
5 more than a number x is -4.
An equation is
Solve the equation.
X =

Answers

The unknown number is x .

An equation to find the value of x :-

[tex]x + 5 = - 4[/tex]

Let us solve this equation :-

[tex]x + 5 = - 4[/tex]

[tex]x = - 4 - 5[/tex]

[tex]x = - 9[/tex]

The value of x is -9 . Let us place -9 in the place of x , to check whether or not we have found out the correct value of x .

So :-

[tex] - 9 + 5 = - 4[/tex]

[tex] - 4 = - 4[/tex]

[tex]LHS = RHS [/tex]

As the left hand side of the equation is equivalent to the right hand side of the equation, we can conclude that we have found out the correct value of x .

Therefore , -9 + 5 = -4 and ( x = -9 ) .

5+x=-4 is equation of sentence 5 more than a number x is -4 and -9 is the solution of equation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given sentence is 5 more than a number x is -4.

Whenever there is a more than in a sentence means added with some number.

Let us consider the number be x.

5 more than a number x is -4 means 5 is added to number x which gives -4.

5+x=-4

This is the equation for the sentence.

Now let us solve the equation.

5+x=-4

Subtract 5 from both sides

x=-4-5

x=-9

Hence, 5+x=-4 is equation of sentence 5 more than a number x is -4 and -9 is the solution of equation.

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What does period mean in math

Answers

Answer:

It means multiple•

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

if this isnt what you mean, please comment down below so i can help you out !!

(2,3) (4,7)
Slope intercept form

Answers

Answer:

y=2x-1

Step-by-step explanation:

May God bless you and your family during this spring break

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{4}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{2}(x-\stackrel{x_1}{2}) \\\\\\ y-3=2x-4\implies y=2x-1[/tex]

Help please I’m so confused

Answers

Answer:

m<ACD = 124 degrees

Step-by-step explanation:

(2x+8) + (x-2) = 180 degrees

This is because both angles are on the same line (so they are a linear pair) and a straight line is 180 degrees. This means that they are supplementary

So:

(2x+8) + (x-2) = 180

Combine like terms:

2x + x + 8 - 2 = 180

3x + 6 = 180

      -6     -6

3x = 174

Divide both sides by 3

x = 58

Now that you know x, you can put it into the equation for m<ACD:

2x+8

(2 multiplied by 58) + 8

(116) + 8

124

m<ACD = 124 degrees

Feel free to ask any follow-up questions if u don't understand

Does the Equation open up or open down ?​

Answers

Answer:

Opens up.

Step-by-step explanation:

See the 2 in front of the x? If that's positive, it opens up. If it's negative, it opens down.

Is goes down trust me

Solve for X.



A.
B.
C.
D.

Answers

Answer:

A. 3

Step-by-step explanation:

3x+137+2x+28 = 180

5x + 165 = 180

5x = 15

x = 3

–5.4(–0.7 + u) =
What is the answer?

Answers

Answer:

3.78 + -5.4u

Step-by-step explanation:

Find the equation of the line shown

Answers

Answer:

y=2x

Step-by-step explanation:

Find the general solution to the following differential equation x^3•y’- y = 0

Answers

Answer:

y(x) = c_1 e^(-1/(2 x^2))

Step-by-step explanation:

Solve the separable equation x^3 (dy(x))/(dx) - y(x) = 0:

Solve for (dy(x))/(dx):

(dy(x))/(dx) = y(x)/x^3

Divide both sides by y(x):

((dy(x))/(dx))/y(x) = 1/x^3

Integrate both sides with respect to x:

integral((dy(x))/(dx))/y(x) dx = integral1/x^3 dx

Evaluate the integrals:

log(y(x)) = -1/(2 x^2) + c_1, where c_1 is an arbitrary constant.

Solve for y(x):

y(x) = e^(-1/(2 x^2) + c_1)

Simplify the arbitrary constants:

Answer: y(x) = c_1 e^(-1/(2 x^2))

Help ASAP, will give brainliest, five stars, and a thanks.

Answers

Answer: $0.32

Rounded to the nearest penny = tenths.

We must round 0.325675 to the nearest tenth.

Answer = 0.32.

Hope this helps!

Answer:

Curtis will get $38.40 back

Step-by-step explanation:

First, we need to find out how much "real" money he has. The equation I did was:

50 + 30 + 30 + 8 = 118

Next, we must convert this into dollars, by multiplying by 0.325675

118 x 0.325675 = 38.42965

We round 38.42965 to the nearest penny:

38.42965

    -->   2 rounds down to 0, so we keep just the $0.40

our answer is:

$38.40


PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

50 the answer is 50

Step-by-step explanation:

50% that's it ok?

Hi, I believe your answer is ---150%--- because if each square is one whole, that makes them 200% combined. Since one square is only halfway shaded, it is only 50%. I hope this helps you! Good luck and have a great day. :)

Suppose f(x)=x^3 find the graph of f(x)+2

Answers

so when we add to the function outside of the parentheses of (x)^3, we are moving the graph in the up down direction so it would look like x^3 but shifted up 2 units. the way to easily know which one it is, plug in zero for x in the original and 0^3 is zero so we know the original fuction will go through the origin so the function who's center is is only shifted up (because it's positive 2) two units so graph 1

note: the reason i know that what looks like a center point is actually at the origin is because f(x)= x^3 is a very famous graph that you should know the shape of :)

Answer:

See attached image

Step-by-step explanation:

Attached

Ernest has $900 in a savings account that earns 14% annually. The interest is not compounded. How much will he have in total in 2 years?

Help​

Answers

Answer:

1152$

Step-by-step explanation:

Intrest is 252

Find a solution to the linear equation y=2x+18 by filling in the boxes with a valid value of x and y. PLEASE REPLY SOON. I am doing a test. Thank YOu

Answers

Answer: (20)=2(1)+18 or (54)=2(18)+18

5 1/3 divided by 4
make into improper fraction

Answers

Answer:

5 1/3 ÷ 4 = 16/3

Step-by-step explanation:

basically what I did was 5 × 3 = 15 + 1 = 16/3

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

Given the following question:

[tex]5\frac{1}{3} \div4[/tex]

To find the answer convert the mixed numbers into improper fractions and then divide using KCF. (Keep, Change Flip)

[tex]5\frac{1}{3} \div4[/tex]
[tex]5\frac{1}{3} =3\times5=15+1=16=\frac{16}{3}[/tex]
[tex]\frac{16}{3} \div4[/tex]
[tex]4=\frac{4}{1}[/tex]
[tex]\frac{16}{3} \div\frac{4}{1}[/tex]

Apply KCF:

[tex]\frac{16}{3} \div\frac{4}{1}[/tex]
[tex]\frac{16}{3} \times\frac{1}{4}[/tex]
[tex]16\times1=16[/tex]
[tex]3\times4=12[/tex]
[tex]=\frac{16}{12}[/tex]

Simplify by reducing:

[tex]\frac{16}{12}[/tex]
[tex]16\div4=4[/tex]
[tex]12\div4=3[/tex]
[tex]=\frac{4}{3}[/tex]

Convert into mixed number:

[tex]\frac{4}{3}[/tex]
[tex]\frac{4}{3} =4\div3=1\frac{1}{3}[/tex]
[tex]=1\frac{1}{3}[/tex]

Which means your answer is "4/3 or 1 1/3."

Hope this helps.

whats 3+2 I NEED TO KNOW MY SON IS IN PRE K

Answers

Answer:

i think its 6

Step-by-step explanation:
3 then add one more 3 so then you add 3+3 and you'll get 6..!!

Answer: 5

Step-by-step explanation: add 3 ( \ \ \) to two ( \ \) and that would leave you with Five. (\\\\\)

Which of the binomials below is a factor if this trinomial?

x^2 - 3x - 4

A. x + 4

B. x + 8

C. x^2 + 4

D. x - 4

Answers

Answer:

D. x - 4

Step-by-step explanation:

x² - 3x - 4 = ( x - 4 )( x + 1 )

main formula: x² + ( a + b )x + ab = ( x + a )( x + b )

The width of a rectangle is six meters less than the length. The perimeter is 56 meters. Find the length and width (in meters).

Answers

Answer:

length: 18

width: 12

Step-by-step explanation:

Good Luck

The formula for perimeter is :
Perimeter = length + length + width + width

For the purpose of solving this, I’ll use L for length and W for width, and I’ll simplify the above formula by adding similar terms:

Perimeter = 2L + 2W

We know what the perimeter is, so you can use that in the equation

2L + 2W = 56

We know that the width is six meters less than the length, so:
W - 6 = L
You can plug that equation into the place of L to solve for W

2(w - 6) + 2w = 56

2w - 12 + 2w = 56

4w - 12 = 56

4w = 68

W = 17


Now that you know the length, you can use the equation we came up with earlier to solve for L
W - 6 = L
17 - 6 = L
11 = L


What is the greatest common divisor of 120 and 5040

Answers

The common factors (divisors) of 120 and 5,040 are all the factors (divisors) of their 'greatest ( highest) common factor (divisor)

Select all numbers that are solutions to the inequality w < 3.

1

-1.5

0

-7

5

Answers

Answer:

all of them except 5 because

[tex]5 > 3[/tex]

I NEED THIS ASAP PLEASE HELP MEEEEE

Prove the Pythagorean Theorem using similar triangles.

Answers

c^2= a^2 + b^2

c= hypotenuse

plug in the numbers and see if it satisfies the equation

I need help quick!!! Will give brainliest to first person

Answers

Answer:

3 and 4 x=25, y=29

Step-by-step explanation:

I hope this helps. If you need any extra information, I will edit this later.

Consider the expression below. 1.3 + 1.25
Sarah thinks that this sum will be an irrational number. Is Sarah's classification correct? Why or why not?
A Sarah is not correct, because 1.3 + 1.25 can be rewritten as + which results in the rational sum of 2
B. Sarah is not correct, because 1.3 + 1.25 results in a decimal number and all decimals are rational.
C. Sarah is correct, because 1.25 cannot be rewritten as a fraction which means the sum is irrational.
D.
Sarah is correct, because 1.3 cannot be rewritten as a fraction or terminating decimal which means the sum is
irrational

Answers

Answer:

First, let's find out the sum;

1.30 + 1.25 = 2.55, is rational, so A

Step-by-step explanation:

The reason being this is because, 2.55 is a terminating decimal meaning that the decimal place does not go on forever.

Sara's classification is not correct because the sum is a rational number.

What is an irrational number?

Irrational numbers are real numbers that cannot be expressed in fractions.

First, we can find the sum

i.e 1.3+1.25 = 2.55

Here, 2.55 is a rational number.

51/20 = 2.55

Since the sum is a rational number Sarah is not correct.

To learn more about irrational number, use the given link below:

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The sum of two numbers is 30
and their quotient is 2

What are the two numbers?

Answers

Answer:

The numbers are 20 and 10.

Step-by-step explanation:

Let's say these teo numbers are x and y.

The sum of two numbers is 30

x + y = 30
Isolate y
y = 30 - x

Their quotient is 2
plug the newfound y value in the second equation.

x / y = 2

[tex]\frac{x}{30-x} = 2[/tex]

multiply both sides by (30 - x) to get rid of the fraction.

x = 2(30 - x)

x = 60 - 2x

x + 2x = 60 + 2x

3x = 60

dividie both sides by 3

x = 20

find y

y = 30 - x

y = 30 - 20 = 10
y = 10

The numbers are 20 and 10.

Answer:

10 and 20.

Step-by-step explanation:

x + y = 30

x/y = 2

x = 2y so substituting in the first equation:

2y + y = 30

y = 10

and  x + y =30

so x + 10 = 30  giving x = 20.

a^2 x a^3
plz answer

Answers

Answer:

a⁵

Step-by-step explanation:

During these events, when the base is same( in this case, 'a'), the powers gets added

thus

[tex]a^{2} * a^{3} \\a^{2+3}\\a^{5}[/tex]

a to the power of 5 is correct so a^5 when multiplying powers you add the exponents (the tiny numbers)

1 The vertices of 3 squares are joined to form a right triangle. What is the area of the largest square?
A 6.5 cm?
B 7 cm?
C 33 cm?
D 43 cm?

Answers

D, 43 cm, it is the largest square

The area of a triangle is 142cm2. Two sides of the triangle measure 24cm and 38cm. What is the measure of the included angle between the side, approximated to 1 decimal place?

Answers

Answer:

C = 18.1°

Step-by-step explanation:

A = 142 m²

a = 24 cm, b = 38 cm

Use the formula A = a*b*sinC/2

142 = 24 * 38 * sinC/2 = 456*sinC

sinC = 0.3114

C = 18.1°

Mindy had 1/2 of a can of soda left. If she shared it equally with her sister, how much of the can of soda did they each have? Choose the model that represents the answer.
A. 1/6
B. 1/2
C. 1
D. 1/4

Answers

Answer: 1/4

If they split it that means each gets 1/2.
This means each get 1/2 of 1/2
Of means multiply
1/2x1/2= 1/4

which shape is a rectangle?
question 7 on -ready

Answers

Answer:

I’m not sure about I-ready, everyone has different ones but I’ll give you some options.

A rectangle is a quadrilateral

A rectangle is a parallelogram

Unless I-ready is asking bout which SHAPE can be a rectangle then it’s a lot of different options.
A square can be a rectangle

Or a parallelogram with the givens being able to fit in to all the things that defines as a rectangle.

These are the options I can think of but pretty sure theres more. But it’s I-ready so it’s not complicated.

There are 16 marbles in total . Maria has 2 more than Felipe. How many marbles does each person have

Answers

One person has 7, the other person has 9 marbles

Answer:

maria has 9 and felipe has 7

Step-by-step explanation:

if felipe has 7 then 9+7=16

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