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3 years ago

What is the area of triangle LMN?

Mathematics

2 answers:

ddd [48]3 years ago

5 0

12 square units ie count up the vertical height of the triangle which is 6 units and then count up the horizontal length of it which is 4 so 6 x 4=24 for the rectangle formed by L x M but the triangle is only 1/2 of this area = 24/2= 12.

Elena-2011 [213]3 years ago

5 0

Answer:

For e2020 the answer is 12.

Step-by-step explanation:

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One year, the population of a city was 130,000. Several years later it was 135,200.

SSSSS [86.1K]

Answer:

Increase in percent = 4%

Step-by-step explanation:

Given:

Present population = 130,000

Future population = 135,200

Find:

Increase in percent

Computation:

Increase in population = Future population - Present population

Increase in population = 135,200 - 130,000

Increase in population = 5,200

Increase in percent = [Increase in population / Present population]100

Increase in percent = [5,200/130,000] 100

Increase in percent = 4%

6 0

3 years ago

Please help ! Geometry

Maslowich

The measurement of angle b is 128°

7 0

3 years ago

A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of the state’s citrus crop. It t

inna [77]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) =22.9P +7$ , while its inverse is: $g^{-1}(c) = \frac{c - 7}{22.9}$ .
The domain is from 0% to 100%, while the range is from 7 to 29.9

Given that:

$c = g(P)$

Input and Output quantity

The input quantity is the percentage of frozen citrus crop, while the output quantity is the cost of box of oranges

Linear Function

The given parameters can be written as:

$(P_1,c_1) = (20\%, 11.58)$

$(P_2,c_2) = (80\%, 25.32)$

Calculate the slope (m)

$m = \frac{c_2 - c_1}{P_2 - P_1}$

So, we have:

$m = \frac{25.32 - 11.58}{80\% - 20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The equation is then calculated using:

$c =m(P - p_1) + c_1$

So, we have:

$c =22.9(P - 20\%) + 11.58$

$c =22.9P - 4.58 + 11.58$

$c =22.9P +7$

So, the function is:

$g(P) =22.9P +7$

The domain and the range

The domain is the possible input value (i.e. possible values of P).

Because P is a percentage, its possible values are 0% to 100%.

Hence, the domain of the function is: $[0\%,100\%]$

The range is the possible output value (i.e. possible values of c).

When P = 0% and 100%

$c = 22.9 \times 0\% + 7 = 7$

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

The meaning of $g^{-1}(12)$

$g^{-1}(12)$ is an inverse equation, where 12 represents the cost of box of oranges.

So, $g^{-1}(12)$ represents the percentage of frozen citrus crop, when the cost is $12.

The inverse formula

We have:

$c =22.9P +7$

Make P the subject

$22.9P = c - 7$

Divide by 22.9

$P = \frac{c - 7}{22.9}$

So, the inverse function is:

$g^{-1}(c) = \frac{c - 7}{22.9}$

This is used to calculate the percentage of frozen citrus crop, when the cost is known.

$g^{-1}(c) = \frac{c - 7}{22.9}$

Substitute 12 for c

$g^{-1}(12) = \frac{12 - 7}{22.9}$

$g^{-1}(12) = \frac{5}{22.9}$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

4 0

3 years ago

2x - 4 - 6(x + 1) = 5x + 6 a) 8 b) -8/9 c) 4 d) -16/9

andriy [413]

Step-by-step explanation:

2x - 4 - 6(x + 1) = 5x + 6

2x - 4 - 6x - 6 = 5x + 6

2x - 6x - 5x = 4 + 6 + 6

-9x =16

x= -16/9

Hope this helps.. Good luck!

3 0

3 years ago

-1+(-3) is blank units from -1 in the blank direction

Thepotemich [5.8K]

-1+(-3) is 3 units from -1 in the left direction

-1+(-3) is blank units from -1 in the blank direction

-4 is 3 units from -1 in the left direction

because we know that

in the real line if we go 3 units in left from -1 we get -4

since in the real number line

the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............

thus we get

-1+(-3) is blank units from -1 in the blank direction

-4 is 3 units from -1 in the left direction

learn more about of direction here

brainly.com/question/17026169

#SPJ9

3 0

2 years ago