All categories

3 years ago

What is the area of this figure? Enter your answer in the box.

Mathematics

1 answer:

Basile [38]3 years ago

3 0

Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:

1/2 x b x h
= 1/2 x 20 x 8
(the base is 20, because in a parallelogram, opposite sides are congruent)
=10 x 8
= 80 in. squared

The next polygon we will be taking the area of is the parallelogram with the base length of 20 and the height of 16.

Area = b x h
= 20 x 16
= 320 in. squared

Now all we have left to do is add the two areas to obtain the total area.

Total Area = 320 + 80 = 400 in. squared

You might be interested in

Square: Area 25 units2. What is the square root?

stealth61 [152]

Answer:

The square root is 5 units.

Step-by-step explanation:

It is given that:

Square area is 25 units square.

We have to find the square root.

Square root = $\sqrt{25}$

Square root = $\sqrt{5*5}$

Square root = 5 units

Therefore,

The square root is 5 units.

5 0

3 years ago

Read 2 more answers

Find the maclaurin series for f(x) using the definition of a maclaurin series. [assume that f has a power series expansion. do n

Nady [450]

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

The maclaurin series for f(x) is defined by the following formula:

$f(x) = \sum_{i=0}^{\infty} \frac{f^{(i)} (0)}{i!} .x^{i}$ --------------(1)

Where $f^{i}$ is the i - th derivative of the function

If f(x) = $e^{-6x}$ , then the formula of the i - th derivative of the function is:

$f^{i} =(-6)^{i} .e^{-6x}$ ----------------------(2)

Then,

$f^{i}(0) = (-6)^{i}$

Lastly, the equation of the trascendental function by Maclaurin series is: $f(x)=\sum_{i=0}^{\infty} \frac{(-6)^{i}.x^{i} }{i!} \\f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ ---------------(3)

Hence,

The equation of $f(x) = e^{-6x}$ by maclaurin series is $f(x)=\sum_{i=0}^{\infty} \frac{(-6.x)^{i} }{i!}$ .

Find out more information about maclaurin series here

brainly.com/question/24179531

#SPJ4

4 0

1 year ago

What is the answer so I can answer it on my side of the phone

amm1812

Answer:

C. 134.04 $cm^{2}$

Step-by-step explanation:

The formula to calculate the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height

The base of the cone is a circle, so that the formula to calculate the are of the base is: Area of base = $\pi$ x $radius^{2}$

The radius of the base is 4cm

=> Area of base = $\pi$ x 4^2 = 3.14 x 16 = 16 $\pi$ $cm^{2}$

The height of the cone is given equal to 8 cm

So the volume of the cone is:

+) Volume of a cone = 1/3 x Area of base x Height = 1/3 x 16 $\pi$ x 8 = 134.04 $cm^{2}$

So the answer is C

5 0

3 years ago

Totally forgot how to do this, please help.

ddd [48]

Answer:

-2/21 is the answer hope it helps

3 0

3 years ago

What is the equation of the following graph in vertex form?

kow [346]

Answer:

D) y = (x+1)^2

Step-by-step explanation:

Given the graph, the y-intercept is 1, and the x-intercept is -1. Only equation that works is D:

When we plug in x=-1:

y=(-1+1)^2

y=0

This is shown on the graph

When we plug in y=1:

1=(x+1)^2

1=x+1

0=x

x=0

This shows up on the graph

7 0

3 years ago