The area of the triangle shown is represented by A=s(s−21)(s−17)(s−10)−−−−−−−−−−−−−−−−−−−−√, where s is equal to half the perimeter. What is the height h of the triangle?

Answers

Answer 1

Answer:

9.88 units

Step-by-step explanation:

We are given that area of triangle  is given by

[tex]A=\sqrt{s(s-21)(s-17)(s-10)}[/tex]

s=Half perimeter

By comparing with

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

We get

a=21

b=17

c=10

[tex]s=\frac{a+b+c}{2}=\frac{21+17+10}{2}=24[/tex]

Now, the area

[tex]A=\sqrt{24(24-21)(24-17)(24-10)}[/tex]

A=84

Area of triangle, [tex]A=\frac{1}{2}\times bh[/tex]

b=17

[tex]84=\frac{1}{2}(17)(h)[/tex]

[tex]h=\frac{84\times 2}{17}[/tex]

[tex]h=9.88 units[/tex]

Hence, the height of the triangle=9.88 units


Related Questions

Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer

Answers

Answer:

Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command

(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]

(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM

(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]

(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM

Step-by-step explanation:

Someone help me with this question please it would help me a lot !!!

Answers

Answer:

x intercept ( -40,0)

y intercept ( 0,15)

Step-by-step explanation:

The x intercept is where it crosses the x axis.  The y value is zero

(-40,0)

The y intercept is where it crosses the y axis.  The x value is zero

(0,15)

find the missing length for the following trapezoid​

Answers

Answer:

KL = 18

Step-by-step explanation:

The midsegment TU is half the sum of the parallel bases , that is

[tex]\frac{KL+JM}{2}[/tex] = TU

[tex]\frac{KL+34}{2}[/tex] = 26 ( multiply both sides by 2 )

KL + 34 = 52 ( subtract 34 from both sides )

KL = 18

Help plz and thanks

Answers

I’d say -5 degrees Celsius

If SP and CP of an article is Rs. x and Rs. y, write the formulae to find profit and loss percentage.​

Answers

Answer:

profit= sp-cp

loss %= loss ×100%/cp

=(cp-sp) ×100%/cp

= (1-sp)×100%/cp

Suppose f(x) = x^2. what is the graph of g(x)

Answers

Answer:  g(x) = (1/16)*x^2

========================================================

Explanation:

Plug x = 4 into f(x) to find that f(4) = 16.

The output y = 16 drops to y = 1. We've multiplied by 1/16 to get this to happen.

In other words,

g(x) = (1/16)*f(x)

g(4) = (1/16)*f(4)

g(4) = (1/16)*16

g(4) = 1

So we can say that,

g(x) = (1/16)*f(x)

g(x) = (1/16)*x^2

and furthermore, we can say f(x) has been vertically compressed by a factor of 16.

Find the missing the side of the triangle

Answers

Step-by-step explanation:

Because it is a 45-45-90 triangle (we know this because two legs are congruent) x witll be [tex]\sqrt{10} *\sqrt{2}[/tex]

Julie assembles shelves for a department store and gets paid $3.25 per shelf. She can assemble 5 per hour and works 8 hours per day. Determine Julie’s gross pay for 1 week

Answers

Pay per shelf = $3.25

No of shelfs per hour = 5

Total hours per day = 8

Total days to find pay of = 7

= 3.25×5×8×7

= 910

Therefore she is paid $910 after 1 week.

Must click thanks and mark brainliest

Which of the following statements is false?
A. A rectangle is a parallelogram.
B. A rhombus is a parallelogram.
C. The height of a trapezoid is the distance between its bases.
D. Given quadrilateral ABCD, AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are adjacent

Answers

to Answer:

D is false

Step-by-step explanation:

AB and CD are not adjacent.

AB is adjacent to BC and AD  but not to CD.

what is the CP if SP is Rs:20 and profit is Rs:7​

Answers

Answer:

CP is 13 because 20-13=7 also you can subtract 20-7=13

So, here us your ans 13.

Someone please help me. Asap ?

Answers

Answer:

Graph A

Step-by-step explanation:

A directly proportional relationship must create a straight line that goes through the origin (0,0) ( note that the slope can be negative or positive in a proportional relationship. )

All graphs show a straight line going through the origin except Graph A.

Graph A shows a straight line however that line does not go through the origin therefore it is not a proportional relationship

Use the grouping method to factor this polynomial.
x2 + 2x2 + 12x + 24
O A. (x2 +12)(x+2)
O B. (x2 +6)(x+2)
C. (x² + 2)(x+6)
O D. (x2 + 2)(x+12)

Answers

Answer:

A. (x² + 12)·(x + 2)

Step-by-step explanation:

Question; Factor x³ + 2·x² + 12·x + 24, using the grouping method

The given polynomial is presented as follows;

x³ + 2·x² + 12·x + 24

Using the grouping method, we have;

(x³ + 2·x²)( + 12·x + 24)

Which gives;

x²·(x + 2) + 12·(x + 2)

Therefore, we get;

(x² + 12)·(x + 2)

The correct option is A. (x² + 12)·(x + 2).

For a school project , Gina measures the height of her 11 friends in centimeters. Girls 125 132 128 135 131 Boys 135 130 126 129 120 129 The five girls stand in a line from shortest to tallest. What is the height of a girl in the middle of the line?

Answers

Answer:

i think the answer is 126cm

It would be 131. It’s asking for the middle height of all the girls. In order: 125, 128, 131, 132, 135

if 2x + 3x.find the value of x​

Answers

if 2x + 3x = ? the question is incomplete or is it about traingle

A piece of fabric 20m long sew 4/5 of that cloth, the rest of the fabric is sewn for each bag 2/3m, how many bags can be sewn in all?

Answers

Answer: 16 bags

Step-by-step explanation:

(20) (4/5) = 16

(16) (3) / 2 = 24

Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it?

Answers

Answer:

There are no like terms

Step-by-step explanation:

×^2+9

=ײ+9

Find the missing side lengths

Answers

4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse

Quesdon 8 of 10
Which of the following is a polynomial?

Answers

Answer:

B

Step-by-step explanation:

It has two or more terms.

please show work it’s for calc

Answers

Answer:

24

Step-by-step explanation:

The question is asking for the net area from x=3 to x=10.

It gives you the net area from x=3 to x=5 being -18.

It gives you the net area from x=5 to x=10, being 42.

Together those intervals make up the interval we want to find the net area for.

-18+42=42-18=24

Answer:

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]

General Formulas and Concepts:

Calculus

Integration

Integrals

Integration Property [Splitting Integral]:                                                               [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]

[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]

[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]

Step 2: Integrate

[Integral] Rewrite [Integration Property - Splitting Integral]:                      [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute:                                                                                    [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify:                                                                                                         [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

if 2x+20 and 3x+20 makes a straight angke find value of x​

Answers

Answer:

x = 28

Step-by-step explanation:

The sum of the angles in a straight angle = 180°

Sum the angles and equate to 180

2x + 20 + 3x + 20 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

Which best describes the relationship between the lines with equations −6x+8y=−1 and −4x−3y=2?

Answers

Answer:

it is linear

Step-by-step explanation:

Both of these both lines are perpendicular to each other.

We have the two equations of straight lines :

− 6x + 8y = −1 and −4x − 3y = 2.

We have to identify the relation between these two lines.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

−6x + 8y = −1           ...(1)

−4x − 3y = 2            ...(2)

Rearranging the terms of the equations we get -

y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex]                 ...(3)

and

y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex]               ...(4)

When compared -

The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].

The slope of line −4x − 3y = 2  is m(2) = [tex]\frac{-4}{3}[/tex].

We can see that -

m(1) x m(2) = - 1

The product of the slopes of two perpendicular lines is -1.

Hence, these both lines are perpendicular to each other.

To solve more questions on relation between straight lines, visit the link below -

brainly.com/question/13792781

#SPJ2

cos²x-√3sinxcosx = 0

Answers

Answer:

x= п/2+пn; nE Z    

x= п/6+пn; nEZ

Step-by-step explanation:

(cosx)^2- √3sinxcosx=0

Factorise it

cosx(cosx-√3sinx)=0

cosx=0                     or                      cosx=√3sinx

x= п/2+пn; nE Z                                 cosx/cosx= √3sinx/cosx

                                                          1/√3= tgx

                                                           x= arctg 1/√3+пn; nE Z

                                                            x= п/6+пn; nEZ

The answer is x= п/2+пn; nE Z    

x= п/6+пn; nEZ

Identify the perimeter and area of an equilateral triangle with height 12 cm. Give your answer in simplest radical form.

Answers

Answer:

perimeter is 36 cm

Step-by-step explanation:

whats the correct ordered pair for, x+y=12 and -x=-y-10

Answers

i'm doing this as a system, ok?

x + y = 12

- x = - y - 10

x + y = 12

-x + y = -10

2y = 2

y = 1

x + 1 = 12

x = 11

so, the ordered pair is (11, 1) -> remember that the x always comes first

hope it helps :)

Answer:yes yes culo Rotox (b

Step-by-step explanation: pro gard1bas x12x14x20¿142

please answer this for me really struggling thanks

Answers

Answer:

Just agree on having ice cream

Step-by-step explanation:

Evaluate the expression 34 ÷ (14 − 5) × 2.
I'm pretty confused can someone explain it to me? I will give branliest

Answers

Answer:

[tex]7\frac{5}{9}[/tex]

Step-by-step explanation:

Hi there!

We are given this expression:

34÷(14-5)×2

And we want to evaluate it

We'll be using the order of operations

Depending on the country you're in, the acronym can be different, but in the US, the typical acronym used for the order of operations is PEMDAS, or Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

The order of operations states that we should start with any expressions in parentheses

In this case, it's (14-5), which is equal to 9

The expression now becomes

34÷9×2

There are no exponents, so let's skip that

Now this is where it gets tricky:

Based on the acronym alone, we should be doing 9*2 next, however, we should always work left to right, even if in a case like this, we'll be doing division instead of multiplication

Divide 34 by 9

[tex]\frac{34}{9}[/tex]×2

Now multiply [tex]\frac{34}{9}[/tex] by 2

[tex]\frac{68}{9}[/tex]

(as a mixed fraction, it's 7[tex]\frac{5}{9}[/tex])

Hope this helps!

-3x(3x+5)(3x-4) help pls

Answers

Answer:

-3x(3x+5)(3x-4)

= -(9x²+15x)(3x-4)

= -27x³-9x²+60x

Answered by GAUTHMATH

You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?

Answers

Answer:

$613.45

Step-by-step explanation:

Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45

Find what percent of the total number of calories comes from fat calories. Round to the nearest tenth of a percent if necessary.

___% of the calories are fat calories.

Answers

Answer:

5 percent ...................

Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".

Answers

Answer:

x = 4 and y = 8

Step-by-step explanation:

This is a special right triangle with angle measures 90-60-30 degrees

The side lengths are like the following :

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]

The side length that sees 30 degrees is represented with 2a

now, the angle measure that sees 60 degrees is given as 4[tex]\sqrt{3}[/tex] so we understand that a is = 4 that's how we find the value of x and y

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