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dexar [7]
3 years ago
7

What is the area of the polygon? Show your work.​

Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

<h3>Area of the rectangle</h3>

The area of a rectangle is simply A = bh, where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

A = (6)(4)\\A = 24

The area of the rectangle is 24 square units

<h3>Area of the triangles</h3>

The area of a triangle is simply A = \frac{1}{2} bh.

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

A = \frac{1}{2} (3)(3)\\A =  \frac{1}{2} (9)\\A =  9 / 2\\A = 4.5

The area of each triangle is 4.5 square units

<h3>Area of the polygon</h3>

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33

The total area of the polygon is 33 square units.

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Erica earned a total of $15,450 last year from her two jobs. the amount she earned from her job at the store was $1250 more than
dimaraw [331]

If Erica earned a total of $15450 last year from both the jobs then he earns $2840 from college if she earned 1250 more than four times the amount from college from store.

Given Total amount earned=$15450,Amount earned from store is 1250 more than 4 times earned from college.

Amount from store forms an equation.

let the amount earned from college is x.

According to question:

Amount earned from store=4x+1250

Amount earned from college=x

Total amount earned=4x+1250+x

5x+1250=15450

5x=15450-1250

5x=14200

x=14200/5

x=2840

Put the value of x in 4x+1250 to get amount earned from store=4(2840)+1250=$12610.

Hence the amount earned by Erica from college is $2840.

Learn more about equation at brainly.com/question/2972832

#SPJ4

6 0
1 year ago
How do I do part c?
neonofarm [45]
Think you need to add everything up
6 0
3 years ago
Evaluate the indefinite integral. <br> integar x4/1 + x^10 dx
ivann1987 [24]

Answer:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c

Step-by-step explanation:

Given

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

Required

Integrate

We have:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

Let

u = x^5

Differentiate

\frac{du}{dx} = 5x^4

Make dx the subject

dx = \frac{du}{5x^4}

So, we have:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx

\int\ {\frac{x^4}{1 + x^{10}}} \, \frac{du}{5x^4}

\frac{1}{5} \int\ {\frac{1}{1 + x^{10}}} \, du

Express x^(10) as x^(5*2)

\frac{1}{5} \int\ {\frac{1}{1 + x^{5*2}}} \, du

Rewrite as:

\frac{1}{5} \int\ {\frac{1}{1 + x^{5)^2}}} \, du

Recall that: u = x^5

\frac{1}{5} \int\ {\frac{1}{1 + u^2}}} \, du

Integrate

\frac{1}{5} * \arctan(u) + c

Substitute: u = x^5

\frac{1}{5} * \arctan(x^5) + c

Hence:

\int\ {\frac{x^4}{1 + x^{10}}} \, dx = \frac{1}{5}( \arctan(x^5)) + c

7 0
3 years ago
Which is the first step in solving
sammy [17]

Answer:

X-4=4

Solution :

X=4+4

X=8

:)

4 0
3 years ago
I need help with this it's urgent!
borishaifa [10]

Oh shucks man, I'm sorry bout that

4 0
2 years ago
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