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3 years ago

What is the area to this figure?

Mathematics

2 answers:

Otrada [13]3 years ago

8 0

Answer:

The answer would be 21ft^2 or 21 feet squared.

Step-by-step explanation:

To find the area for a triangle, use the equation A = 1/2bh.

A - area

b - base

h - height

You divide it by 2 because a triangle is one half of a square/rectangle.

First do the smaller triangle, measuring 4ft for the base and 3ft for the height.

A = 1/2bh

A = 1/2 (4ft) (3ft)

A = 1/2 (12ft)

A = 6ft^2 (squared)

Then do the larger triangle, measuring 6ft for the base and 5ft for the height.

A = 1/2bh

A = 1/2 (6ft) (5ft)

A = 1/2 (30ft)

A = 15ft^2 (squared)

To find the area for the whole figure, add the products together:

6ft^2 + 15^2 = 21ft^2 (squared).

Tresset [83]3 years ago

7 0

Answer:

21 ft^2

Step-by-step explanation:

split area into two parts shown by the red line and add up both areas to find total area.

area = b×h/2

triangle 1 = (5×6)/2

=30/2

=15 ft^2

triangle 2 = (3×4)/2

=12/2

=6 ft^2

total area = 15+6

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Given a function <img src="https://tex.z-dn.net/?f=f%28x%29%3D3x%5E4-5x%5E2%2B2x-3" id="TexFormula1" title="f(x)=3x^4-5x^2+2x-3"

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Answer:

$\huge\boxed{f(-1) = -7}$

Step-by-step explanation:

In order to solve for this function, we need to substitute in our value of x inside to find f(x). Since we are trying to evalue f(-1), we will substitute -1 in as x to our equation.

$f(-1) = 3(-1)^4 - 5(-1)^2 + 2(-1) - 3$

Now we can solve for the function by multiplying/subtracting/adding our known values.

Starting with the first term to the last term:

$3(-1)^4 = 3$

WAIT! How is this possible? $-1^4 = -1$ (according to my calculator), and $3 \cdot -1 = -3$ , not 3!

It's important to note that taking a power of a negative number and multiplying a negative number are two different things. Let's use $-2^2$ as an example.

What your calculator did was follow BEMDAS since it wasn't explicitly told not to.

BEMDAS:

- Brackets

- Exponents

- Multiplication/Division

- Addition/Subtraction

Examining the equation, your calculator used this rule properly. Note that exponents come over multiplication.

So rather than being "-2 squared" - it's "the negative of of 2 squared."

Tying this back into our problem, the squared method would only be true if it looks like $-1^4$ . However, since we're substituting in -1, it looks like $(-1)^4$ , so the expression reads out as "-1 to the fourth."