Ask question

Ask question

All categories

3 years ago

6

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the trian

gle. (5 points) a = 240 b = 123 c = 207

1 answer:

AfilCa [17]3 years ago

4 0

Answer:

Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.

240 + 123 > 207 true

240 + 207 > 123 true

123 + 207 > 240 true

A = √(s(s-a)(s-b)(s-c))

s is the semi-perimeter (a + b + c)/2

s = (240 + 123 + 207)/2

s = 285

A = √(285*(285-249)(285-123)(285-207))

A = 12,730 units^2

Step-by-step explanation:

You might be interested in

Talja [164]

1. $x^2 - 14x + 45$

You need two numbers that multiply to 45 and add to -14.
Since the numbers must multiply to a positive number, 45, they must both be positive or both be negative. Since they must add to -14, they must both be negative.

$-9 \times (-5) = 45$
$-9 + (-5) = -14$

The numbers are -9 and -5.

$x^2 - 14x + 45 = (x - 9)(x - 5)$

2. $x^2 - 15x + 36$

<span>You need two numbers that multiply to 36 and add to -15.
Since the numbers must multiply to a positive number, 36, they must both be positive or both be negative. Since they must add to -15, they must both be negative.

$-12 \times (-3) = 36$
$-12 + (-3) = -15$

The numbers are -12 and -3.

$x^2 - 15x + 36 = (x - 12)(x - 3)$

3. $x^2 - 7x - 44$
</span>
<span>You need two numbers that multiply to -44 and add to -7.
Since the numbers must multiply to a negative number, -44, one number is positive, and one number is negative.

$-11 \times 4 = -44$
$-11 + 4 = -7$

The numbers are -11 and 4.

$x^2 - 7x - 44 = (x - 11)(x + 4)$

Solve by factoring:
1. $x^2 - 15x + 50 = 0$

$(x - 10)(x - 5) = 0$

$x - 10 = 0$    or   $x - 5 = 0$

$x = 10$    or   $x = 5$

2. $x^2 = -2x + 15$

$x^2 + 2x - 15 = 0$

$(x - 3)(x + 5) = 0$

$x - 3 = 0$    or   $x + 5 = 0$

$x = 3$    or   $x + 5 = 0$

$x = 3$    or   $x = -5$
</span>

8 0

4 years ago

Verify that the equation is an identity sec X - COS X= sin x tan x To verify the identity, start with the more complicatad side

notka56 [123]

You have the following equation:

secx - cosx = sinxtanx

In order to verify the previous identity, you show that the left side is equal to the right side. You proceed as follow:

secx - cosx = 1/cosx - cosx

to get the same denominators multiply by cosx/cosx in the second term:

1/cosx - cos²x/cosx

add the homogeneus fractions:

(1 - cos²x)/cosx

use the identity sin²x + cos²x = 1 => 1 - cos²x = sin²x

sin²x/cosx

write sin²x as sinxsinx

(sinx)(sinx/cosx)

separate the expression into two factors by replacing sinx/cosx = tanx

(sinx)(tanx)

Then, the given equation is an identity and it has been demonstrated that

secx - cosx = sinx tanx

3 0

1 year ago

What is the volume of a cylinder with base radius 2 and height 6?<br>

elena-14-01-66 [18.8K]

Answer:

24π cubic units

Step-by-step explanation:

Using the formula for the volume of a cylinder, you find it to be ...

V = πr²h

V = π(2²)(6)

V = 24π . . . . cubic units

3 0

4 years ago

Taylor is making cookies. The recipe calls for 2/3 cups of sugar. She wants to increase the recipe by 1 1/2 more cups of sugar a

Brilliant_brown [7]

Answer:

Sex kar ha to bata do bhai yaar follw karo bata dungi

8 0

3 years ago

HELP ASAP DUE RIGHT NOW THANK YOU

bagirrra123 [75]

Answer:

the answer is a (75%)

Step-by-step explanation:

its pretty easy,

u have to make 2 hours into minutes = 120 minutes

then start subtracting

120 - 20 (reading assignment)

= 100

100-25 (working on craft) = 75

make 75 into a percent which is

75%

4 0

3 years ago