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REY [17]
3 years ago
11

Question: A square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between t

he squares? ​
Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

The total area between the squares is of 24 units squared.

Step-by-step explanation:

Area of a square:

The area of a square of side length l is given by:

A = l^2

Area between figures:

The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.

Larger square:

Square with side of length 7. So

A_l = 7^2 = 49

Smaller square:

Square with side of length 5. So

A_s = 5^2 = 25

What is the total area between the squares? ​

T = A_l - A_s = 49 - 25 = 24

The total area between the squares is of 24 units squared.

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|x+18|=1
zepelin [54]
The absolute value, or modulus, of a number is its distance from zero, or essentially its magnitude.

The absolute value produces a positive answer.

We have this definition for the absolute value, taking into account its different values for different signs:

|x|= \left \{ {{x, \ \ \ x \ \geq \ 0} \atop {-x, \ \ \ x \ \ \textless \  \ 0}} \right.

Thus, for |x+18|=1, we split the absolute value as such:

x+18=1 and x+18=-1

We solve each case.

x=-17 and x=-19

We check these solutions.

|-17+18|=1\\|1|=1\\1=1
and
|-19+18|=1\\|-1|=1\\1=1
5 0
3 years ago
Read 2 more answers
Select the correct order for the following numbers. Numbers should be ordered from smallest to largest.
viktelen [127]

Answer:

See below  

Step-by-step explanation:

You order the hundreds digits, then the tens, and finally the ones.

a. 213, 290, 871, 899

b. 213, 291, 871, 899

c.    91, 312, 871, 899

d. 123, 190, 871, 899

5 0
4 years ago
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the vol
Lemur [1.5K]
Okay let h be the height of prism so ATQ, height of pyramid = 3h put this in the formule The volume of a pyramid = base x height x (1/3) The volume of a prism = base x height and find their ratio so simple you will get the answer as 1
5 0
3 years ago
Question below please!
aliina [53]

Answer:

b = √45

Step-by-step explanation:

From the figure we  get, There are two right angled triangle.

In large triangle 'b' is the base, height = 6 and hypotenuse = 9

<u>To find the value of  b</u>

Hypotenuse² = Base² + Height²

Here,

9² = b² + 6²

b² = 9² - 6² = 81 - 36 = 45

Therefore, b = √45


7 0
3 years ago
The diameter of a circular rug is 3 1/2 yards. what is the distance around the outside of the rug?
PolarNik [594]
3.50× 2= distance
distance= 7??
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3 years ago
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