All categories

3 years ago

Determine the area of the composite figure to the nearest whole number.

Mathematics

2 answers:

zlopas [31]3 years ago

8 0

The answer is c which is correct

Kruka [31]3 years ago

7 0

Answer:

Step-by-step explanation:

Let’s review our area formulas first:

Area of rectangle: l*w

Area of quarter circle:(pi*r^2)/4

Area of triangle:(b*h)/2

What we need to do is find the areas of these individual figures and add them up to find the area of the total figure WHEn CALCUlATING AReA Be SURE TO OnLY LOOK AT THE OnE figure and ignore all other shapes!

Rectangle=11.1(length)*21.1(width)

Rectangle=234.21

Quarter circle=(pi*(21.1)^2)/4

Quarter circle= 349.667116326

Triangle:(9.1*21.1)/2

Triangle=96.005

96.005+234.21+ 349.667116326=679.8821(round up to 680)

Hope this helps!

You might be interested in

The population of a town is 6500 and is increasing at a rate of 4% each year. Create a function for this scenario. At this rate,

Stella [2.4K]

Answer:

$P_4 = 7604.08$

Step-by-step explanation:

If the population increases at a rate of 4% per annum, then:

In year 1:

$P_1 = P_0 + 0.04P_0$

Where $P_0$ is the initial population and $P_n$ is the population in year n

In year 2

$P_2 = P_1 + 0.04P_1$

It can also be written as:

$P_2 = P_0 + 0.04P_0 + 0.04 (P_0 + 0.04P_0)$

Taking out common factor $P_0$

$P_2 = (1 + 0.04) (P_0) + 0.04P_0 (1 + 0.04)$

Taking out common factor (1 + 0.04)

$P_2 = (1 + 0.04) (P_0 + 0.04P_0)$

Taking out again common factor $P_0$

$P_2 = (1 + 0.04) (1 + 0.04) P_0$

Simplifying

$P_2 = P_0 (1 + 0.04) ^ 2$

$P_n = P_0 (1 + 0.04) ^ n$

This is the equation that represents the population for year n

Then, in 4 years, the population will be:

$P_4 = P_0 (1 + 0.04) ^ 4\\P_4 = 6500(1 + 0.04) ^ 4\\P_4 = 7604.08$

3 0

3 years ago

What is 6a<42 and a + 4>7

ozzi

Answer:

let's start with

6a<42

a<7

Next we simplify

a+4>7

a>7-4

a>3

Step-by-step explanation:

Answer

3<a<7

6 0

3 years ago

I NEED THIS ASAP! ILL GIVE YOU BRAINLIST!

Artist 52 [7]

I believe $30 but i am not completely sure :)

5 0

3 years ago

Solve and reduce to lowest terms:<br> 6 / 11 x 1 / 3

zysi [14]

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5 0

3 years ago

Read 2 more answers

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

4 years ago