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3 years ago

What’s the area of this face ?

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Remark.

I take it we are only concerned with the deep lime face that we can see closest to us.

Construction

Draw one line that goes from the right of the left foot up to the 18 foot line

Draw another line that goes from the left of the right foot up to the 18 foot line.

label the width of the right foot as 18 - 6 - 6 = 6

Solution

Right foot

Area = L * w

L = 12 feet

w = 6 feet

Area = 12*6 = 72

Left foot (same area) 72

Area above the door.

Height = 12 - 6 = 6

width 6

Area = 6 * 6 = 36

Answer: Total Area = 72 + 72 + 36 = 180

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Select the point that is a solution to the system of inequalities

Zarrin [17]

<h2>Hello!</h2>

The answer is:

The point that is a solution to the system of inequalities is C(4,2).

To find the point that is a solution to the system of inequalities, we need to evaluate it into the given inequalities. If the point is a solution to the system of inequalities, both inequalities will be satisfied.

We are given the inequalities:

$y\leq 2x-2$

$y\leq x^{2} -3x$

So, substituting the given points into the given inequalities, we have:

- A. (2,1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\1\leq 2*(2)-2\\\\1\leq 4-2\\\\1\leq 2$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$1\leq (2)^{2} -3(2)$

$1\leq 4 -6$

$1\leq -2$

Therefore, since 1 is not less or equal to -2, the point A(2,1) is not a solution to the system of inequalities.

- B. (-2,-1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\-1\leq (-2)*(2)-2\\\\-1\leq -4-2\\\\-1\leq -6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$-1\leq (-2)^{2} -3(-2)$

$-1\leq 4 +6$

$-1\leq 10$

Therefore, since -1 is not less or equal to -6, the point B(-2,-1) is not a solution to the system of inequalities.

- C. (4,2)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\2\leq (4)*(2)-2\\\\2\leq 8-2\\\\2\leq 6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$2\leq (4)^{2} -3(4)$

$2\leq 16 -12$

$2\leq 4$

Therefore, since 2 is less than 6, and 2 is less than 4, the point B(4,2) is a solution to the system of inequalities.

- D(1,3)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\3\leq (1)*(2)-2\\\\3\leq 2-2\\\\3\leq 0$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$3\leq (1)^{2} -3(1)$

$3\leq 1 -3$

$3\leq -2$

Therefore, since 3 is not less than 0, and 3 is not less than -2, the point D(1.3) is not a solution to the system of inequalities.

Hence, the point that is a solution to the system of inequalities is C(4,2).

Have a nice day!

6 0

3 years ago

HELP<br> what is the value of “ c”

Alex

Answer:

Step-by-step explanation:

When you match the form

... ax² + bx + c = 0

to the equation

... 3x² + 5x + 7 = 0

it is reasonable to conclude that ...

... a = 3, b = 5, c = 7.

_____

The question presumes you are familiar with the form

... ax² +bx +c = 0

which is often used as the representation of a general quadratic equation. This lets us use a, b, and c instead of specific numbers, to talk about ways of factoring, graphing, or solving equations like this.

6 0

4 years ago

What is the solution to the system of equation

Neko [114]

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equationsgraphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

8 0

3 years ago

I need the solution

Kazeer [188]

24 beats per minute

5 0

3 years ago

Please help I’m so close to passing math

photoshop1234 [79]

Answer:I think it’s 2 the best buy

Step-by-step explanation:

3 0

3 years ago

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