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Sphinxa [80]
2 years ago
11

The area of the entire figure below is 111 square unit.

Mathematics
1 answer:
Ivahew [28]2 years ago
7 0

The striped rectangle has a total area of 69,375 cm².

<h3>How to calculate the area of the striped rectangle?</h3>

To find the area of the striped rectangle we must carry out the following procedures.

Find the area of each segment of the rectangle, that is, what is the area of each of the 24 squares that make up the rectangle, for that we divide the 111cm² of the total area into 24.

  • 111cm² ÷ 24 = 4.625cm²

According to the above, we infer that each square has an area of 4.625cm².

On the other hand, to find the area of the striped rectangle we must take into account that it is 5 squares long by 3 squares high, that is, its area is 15 squares.

  • 3 × 5 = 15

Finally, each square has an area of 4.625cm², so to find the total area of the striped area we must multiply the area of each square by the number of squares.

15 × 4.625cm² = 69.375cm²

Learn more about areas in: brainly.com/question/27683633

#SPJ1

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3 0
3 years ago
W + 4 = (-6) This is an algebra question and I don't get the negative
Arada [10]

Answer:

w = -10

Step-by-step explanation:

w + 4 = (-6)

Subtract 4 from each side

w+4-4 = -6-4

w = -10

7 0
3 years ago
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True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Zepler [3.9K]

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

  • Zero or Root means that when you evaluate the function in that value the outcome is zero.
  • X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

brainly.com/question/1214333

8 0
2 years ago
Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th
ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

S - F = 5 ---- (1)

From the second, we have:

S - B = 8 ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

F = S - 5

B = S - 8

Their product is represented as follows:

F * B = 40

Substitute values for F and B

(S - 5) * (S - 8)=40

Open bracket

S^2 - 5S -8S + 40 = 40

S^2 - 13S + 40 = 40

Subtract 40 from both sides

S^2 - 13S = 0

Factorize:

S(S - 13) = 0

Split:

S = 0 or S - 13 = 0

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

S - 13 = 0

Make S the subject

S = 13

<em>Hence, Sarah is 13 years old</em>

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3 years ago
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Each friend would pay $132.64... $1,326.40 ÷ 10 = $132.64
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