Which is the area of triangle LMN? Group of answer choices 24 square units 27 square units 54 square units 48 square units

Answers

Answer 1

Answer:

√65/2 square units

Step-by-step explanation:

Find the diagram attached

Area of the triangle = 1/2 * base * height

To get the base and height, we will use the distance formula;

Area of the triangle LMN = 1/2 * LM * MN

For MN

Given the coordinate M(3, 2) and N(1, 3)

MN = √(3-2)²+(1-3)²

MN = √1²+(-2)²

MN = √1+4

MN = √5

For LM;

Given the coordinate L(1, -1) and M(3, 2)

LM = √(2-(-1))²+(3-1)²

LM = √(2+1)²+(2)²

LM = √3²+(2)²

LM = √9+4

LM = √13

Area of the triangle LMN = 1/2 * √13 * √5

Area of the triangle LMN = √65/2 square units

Which Is The Area Of Triangle LMN? Group Of Answer Choices 24 Square Units 27 Square Units 54 Square

Related Questions

(1)/(4p)(x-h)^(2)+k=0 Multiply the equation by 4p. Explain how different values of k affect the number of zeros of the polynomial. Consider k > 0, k = 0, and k < 0. Assume p > 0.​

Answers

Answer:

Step-by-step explanation:

Assume that  and multiply the equation  by 4p. Then you obtain the equation (x-h)^2+4pk=0.

1) If k>0, then 4pk>0 and the equation does not have real solutions and there is no zero.

2) If k=0, then 4pk=0 and . There is one solution x=h and there is one zero.

2) If k<0, then 4pk<0 and the equation  has two different solutions and there are two zeros.

Answer:

Given equation:

[tex]\frac{1}{4p} (x - h)^2 + k = 0[/tex]

Multiply this by 4p to get:

(x - h)² + 4pk = 0

Rewrite this as:

(x - h)² = 4pk

1) If p > 0 and k < 0

(x - h)² < 0, then no real solutions as left side is always positive

2) If p > 0 and k = 0

(x - h)² = 0, then x = h, one solution = 1 zero

3) If p > 0 and k > 0

(x - h)² > 0, then there 2 real solutions = 2 zeros:x = h ± 2[tex]\sqrt{pk}[/tex]

Mark's scores on his first nine assignments were: 10, 10, 9, 9, 10, 8, 9, 10, and 8.
a. What are the median and range of his scores?
b. What is his mean (average) score so far?
c. Mark did not do the tenth assignment, so he got a zero on it. Zero is an outlier for these assignments. What is his new mean?

Answers

If you help me with my last question I will help you with this one

Answer:

Median= 9

Range= 2

Mean= 9.2

Mean after zero= 8.3

Step-by-step explanation:

8, 8, 9, 9, 9, 10, 10, 10, 10

Median= order from least to greatest then eliminate from left to right until you get to the middle

Range= Subtract biggest # minus smallest #

Mean= add up all the numbers then divide by 9

Mean after zero= add 0 with other numbers then divide by 10

Plz help me. Giving branliest

Answers

Answer: im not sure about this but I’ll try

24 because if you look at the side that says 12mi And then look at the side withe the x where they are both standing which says 48 and 72 are really similar wand looks like they have the same distance so you can add 12 + 12 and is 24 miles

Step-by-step explanation:

It is 2.04 and 3.71 now subtract it

X2+2x-8 factorised.

Answers

Answer:

( x− 2 ) ( x + 4 )

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 2x - 8 \\ sum = 2 \: and \: product = - 8 \\ factors = 4 \: and \: - 2 \\ = > {x}^{2} + 4x - 2x - 8 \\ = x(x + 4) - 2(x + 4) \\ = (x - 2)(x + 4)[/tex]

Find the area of the trapezoid to the nearest tenth.

Answers

You know the missing side of the bottom base is 6 because of the 30 60 90 special right triangle. The height is 6sqrt3 because of what i said above too, The area of a trapezoid is 1/2 b1+b2*h so 30+36*6sqrt3 is 396sqrt3 divided by 2 is 298sqrt3

Carlos is extending hood backyard patio. Currently, the area of the patio is n2+16n+64. West are the new length and width of the patio, feet, if Carlos extends the length by 2 feet and the width by 2 feet

Answers

Answer:

Width = 8 feet

Length = 8 feet

Step-by-step explanation:

Carlos is extending hood backyard patio. Currently, the area of the patio is n²-16n+64.

Step

We find the Length and Width

This is done by factorising the area

Area = n² - 16n + 64 = 0

n² - 8n - 8n + 64 = 0

(n² - 8n)  - (8n +64) = 0

n(n - 8)  -8(n - 8) = 0

(n - 8) (n - 8) = 0

n - 8 = 0

n = 8

The length and width  = 8 feet

Step 2

New length and width by extension is calculated as:

Width = 8 feet + 2 feet = 10 feet

Length =  8 feet + 2 feet = 10 feet

What is the value of x in the diagram below?

Answers

Answer:

18

Step-by-step explanation:

The two angles are vertical angles which mean they are equal

2x = 36

Find x by dividing both sides by 2

X = 18

what is the mathematical equation of 9932x6394=

Answers

Answer:

Step-by-step explanation:

63,505,208

can you choose me brainliest?

63,505,208 hope this helped :)

The power,
P
(watts)
, of a car engine is proportional to the square of its speed,
s

(
m
/
s
)
.
When
s
=
20
,
P
=
2000
.
Work out the speed (to 1 DP) when the power is
1960
watts

Answers

Answer:

30

Step-by-step explanation:

Due tonight.. *no links*

Answers

Answer:

angle 5 = 149°

angle 7 = 149°

I’m guessing both are 31 because angle 2 and 4 should because they are across from each other and using the same side interior method 5 would also be 31

And 7 would be 31 because it’s across from 5

Im sorry it if is wrong

please help need answer

Answers

Answer:

$3

Step-by-step explanation:

3 dollars because

1 pound = 16 ounces

and 1 pound costs 1.5 dollars

if there are 32 ounces of broccoli, you divide the number of ounces by 16 and multiply that by 1.5

32/16 = 2 x 1.5 = 3

Answer:

$3.00

Step-by-step explanation:

Since 1 pound = 16 ounces and there are 32 ounces, by dividing 32/16 will equal to 2 pounds, hence $1.50 x 2 =$ 3.00

A right triangle has an area of 98 square inches. If the triangle is not an Isosceles triangle, what are the all possible lengths of the legs?

Answers

Answer:

The possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Step-by-step explanation:

We are told the above Triangle is not an Isosceles Triangle

Hence, we assume it is a right angle triangle

The area of a triangle is = 1/2 × Base × Height

= let us represent Base and Height = x

Hence:

1/2 × x × x = 98

x² /2 = 98

Cross Multiply

x² = 98 × 2

x² = 196

Step 2

We find the factors of 196

1× 196 = 196 (1, 196)

2 × 98 = 196 (2, 98)

4 ×49 = 196 (4, 49)

7 × 28 = 196 (7, 28)

Therefore, all the possible length of the triangle =

1) (1inches, 196inches)

2) (2incheq, 98inches)

3) (4inches , 49 inches)

4) (7 inches , 28 inches)

Write an expression that is equivalent to: -1/2(10 + 1/4)​

Answers

Answer:

Step-by-step explanation:

-1/2(10 + 1/4)​

10+1/4 = 41/4

Since the denominator is 4, you multiply 10 by 4 to make it equivalent since 10 is a whole number and 1/4 is a fraction

-1/2(10.25)= -41/8 or 5.125

A six sided die is rolled and a spinner with 5 equal spaces labeled A-E is spun. Find the P(rolling
a 1 and spinning A). Answer as simplified fraction.

Answers

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

Please I need help now! This is due today! Look at the pic below.

Answers

Answer:

B

Step-by-step explanation:

Please help !! 10 pts!!!!

Answers

Y = 8000/1000= 8

Y= 8*20

Y= 160

7. Matéd is 41 years old. Mateo's brother
is younger than him. Mateo writes
the inequality b > 41, where b equals
the number of years, to represent
his brother's age. Is Mateo correct?
Explain.

Answers

No, Mateo is not correct because he is older than his brother which would make 41 a greater value than b. The correct statement would be ‘b < 41’.

if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total

Answers

Answer:

Approximately = 131 employees in total

Step-by-step explanation:

if the 55 employees who work overtime make up approximately 42% of all employees at the company, how many employees are there in total?

Let us represent total number of employees = x

Hence,

42% of x = 55 employees

42/100 × x = 55

42x/100 = 55

Cross Multiply

42x = 100 × 54

x = 100 × 55/42

x = 130.95238095 employees

Therefore, there is approximately a total 131 employees

Helppp this is a Algebra question

Answers

12*(7-4)+5/3=19

(*) multiply sign
(/) division sign

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

D.) the amount in the account increase by 4% each year

Step-by-step explanation:

Compound interest formula: P*(1+r/n)^(nt)

P=initial principal balance

r=interest rate

n=times applied per [time (eg year)]

t=number of time periods gone by

The expression: 2500(1.04)^x

The expression: 2500(1+1/25)^(nt)

1.04=1+1/25=increases by 4% each year

help brainiest to whoever right

Answers

The range is 141-116 = 25
Using an online calculator I found the standard deviation to be 10.12

pls help!! n33d help

Answers

Answer:

6 and 12

Explanation:

(b.) is under set A but not set B, meaning that all the elements there are multiples of 3 that are not odd numbers.

all the multiples of 3 that are less than 16: 3 6 9 12 15

all the multiples of 3 that are even numbers: 6 12

thus, the elements that go in (b.) are 6 and 12.

i hope this helps! :D

based on the construction below, which conclusion is not always true

Answers

Answer:

B

Step-by-step explanation:

I just did the problem as homework

I do not understand this at all!

Answers

Answer:

∠1 = 51°   ∠2 = 39°

Step-by-step explanation:

ok since the picture is a right angle put it equal to 90

like this:

3x + x + 22 =90

4x + 22 = 90

4x = 68

x = 17

now we plug it in:

3(17)= 51°

(17) + 22 = 39°

*a straight line is equal to 180, a right angle is 90

does that make sense?

7 is ten times the value of ?
1. 0.007
2. 70
3. 0.07
4. 0.7

Answers

Answer:

it's NUMBER 4. 0.7

Step-by-step explanation:

sorry for caps

6th GRADE MATH

Kevin is planting 1515 bushes and 99 trees in rows. If he wants all the rows to be exactly the same, with no plants left over, what is the greatest number of rows Kevin can plant?



Answer:
rows.

Answers

Answer:

15 rows

Step-by-step explanation:

1515/99=15.30 simplify is 15

6 cm 4 cm 10 cm What is the surface area of the figure?

Answers

Answer:

248 cm^2

Step-by-step explanation:

in order to get the figures surface area you only need to find the area of all 6 sides

in this case the two ends are 4 by 6

the front and back are 10 by 6

and the top and bottom are 10 by 4

this would mean that we need to multiply

(4*6)*2

(10*6)*2

(10*4)*2

which would look like

(4*6)*2= (24)*2= 48

(10*6)*2= (60)*2=120

(10*4)*2= (40)*2=80

and finally the sum of the equations is the surface area of the figure

48+120+80=248

please helppppppppppp



i put it at 50 points-

Answers

When rob sells 60-70 whatever I hope this helps

Answer:

98

Step-by-step explanation:

2 * blank equals 6.5​

Answers

Answer:

3.25 or 3 and 1/4

Step-by-step explanation:

The algebraic equation is 2x = 6.5.

Divide by 2 to get your answer.

6.5 divided by two is 3.25.

x = 3.25

Answer:

3.25

Step-by-step explanation:

just take away the 25 and multiply it that way

Plz give me brainllest

Help! I’ll give brainliest!

Answers

Answer:

d) -2

Step-by-step explanation:

(-1 - 19)/(16 - 6)

-20/10 = -2

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