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ozzi
3 years ago
12

What is the area of the figure? Explain.

Mathematics
1 answer:
Dominik [7]3 years ago
7 0

Answer:

  24 cm²

Step-by-step explanation:

The rectangular section on the right is 8 - 4 = 4 cm wide.

It is 3 + 1.5 = 4.5 cm tall.

The area of the rectangular section is ...

  A = LW

  A = (4.5 cm)(4 cm) = 18 cm²

__

The triangular section on the left is 4 cm wide and 3 cm high. Its area is ...

  A = 1/2bh

  A = 1/2(4 cm)(3 cm) = 6 cm²

The total shaded area is the sum of the areas of the triangular section and the rectangular section:

  area = 18 cm² +6 cm² = 24 cm² . . . area of the figure

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What is the LCM of x^2+5 and x^2+10x+25?
avanturin [10]

Answer:

(x+5)²(x²+5)

Step-by-step explanation:

Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25

On factorising we have:

x²+5x+5x+25

= x(x+5) +5(x+5

= (x+5)(x+5)

= (x+5)²

The LCM can be calculated as thus

| x²+5, (x+5)²

x+5| x²+5, (x+5)

x+5| x²+5, 1

x²+5| 1, 1

The factors of both equation are x+5 × x+5 × x²+5

The LCM will be the product of the three functions i.e

(x+5)²(x²+5)

This hives the required expression.

5 0
3 years ago
The number of pages in an Algebra book is 99 less than the number of pages in a geometry book.
san4es73 [151]

Answer: An equation is *629 = n - 99. The geometry book has 728 pages*

Step-by-step explanation: The Algebra book has 99 pages LESS than the geometry book, in other words, the geometry book has 99 pages MORE than the Algebra book. This equation can be used to find the answer. I’m afraid 530 is not the answer.

Hope this helps! :)

4 0
3 years ago
The fine schedule for overdue books at the county library is modeled by the values in the table.
ycow [4]

Thus, the required equation is given by Y = 5/2X.

Given data can tabulate is
Days overdue(x)  = 0  2  4  6  8  10

Amount of fine(y) = 0  5  10  15  20  25

<h3>What is equation?</h3>

equation is the relationship between variable and represented as     is example of polynomial equation.

Since, the as for every value of x, y grows linerely.

Equation can be given as for every 2 step of x, y increase 5 steps
therefore, y = 5/2x

Thus, The required equation is given by  y = 5/2x

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

3 0
2 years ago
If you apply the changes below to the
Dennis_Churaev [7]

Answer: Step-by-step explanation:

f(x) = (x-7)^2+3

3 0
3 years ago
In an examination
aleksandr82 [10.1K]

Answer:

7 candidates passed maths only

6 candidates passed physics only

23 students sat in examination

Step-by-step explanation:

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2 years ago
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