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Airida [17]
3 years ago
6

Any help will be great!

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

a) Khaled's backyard at his old house is 10 yards by 22 yards. You can interpret 10 by 22 as:

width (w) = 10 yards

and height (h) = 22 yards

OR

length (l) = 22 yards

width (w) = 10 yards

Generally, length are longer than width.

Thus, this is a problem of a rectangle. To find the area of the backyard at his old house. We know,

  • Area of a rectangle = l × w

= 22 × 10

= 210 yards sq.

sq. is an abbreviation of squared.

From the second measurement 15 yards by 15 yards we know that, length and width are similar for the backyard at his current house. Therefore,

To find the area of the backyard at his current house. We know:

length (a) = 15 yards

Area of a square = a^2 or a × a

= 15^2 or 15 × 15

= 225 yards sq.

sq. is an abbreviation of squared.

b) By definition perimeter is length of all sides that encloses an object.

Here, Khaled has 4 sides.

Therefore, Perimeter of his old backyard= 2l + 2w

= 2 × 10 + 2× 22

= 20 + 44

= 64 yards

And Perimeter of his current backyard = 4l

= 4 × 15

= 60 yards

c) Khaled's current backyard has more area than his old backyard, thus, Khaled's kids has more room in current backyard to play in.

d)Khaled's current backyard has a perimeter of 60 yards and his old backyard has a perimeter of 64 yards. Because his old backyard needs to cover 4 extra yards than his current backyard. Khaled's old backyard will need more fences to enclose.

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MakcuM [25]

Answer:

Breadth is 4cm

Step-by-step explanation:

Perimeter = 24cm

Length= 8cm

let the breadth be x

Perimeter = 2(l+b)

24 = 2(8+x)

24 = 16+2x

24-16 = 2x

8 = 2x

8÷2 = x

4 = x

Therefore, breadth is 4cm

PLS MARK ME AS BRAINLIEST★

7 0
3 years ago
Find the reference number of 11pi/9
kotykmax [81]
Unsure of what you mean by "reference number."  

I do recognize that 11pi/9 is in quadrant III.  I suspect that the so-called "reference number" is the acute angle between the end ray of 11pi/9 and pi, or, in more easily comparable numbers, between 9pi/9 and 11pi/9.

That difference is 2pi/9.
4 0
3 years ago
45 students ride the bus there are three buses how many students can fit on the
WITCHER [35]
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6 0
4 years ago
Read 2 more answers
Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse
Drupady [299]

Answer:

a'(d) = \frac{d}{5} + \frac{3}{5}

a(a'(d)) = a'(a(d)) = d

Step-by-step explanation:

Given

a(d) = 5d - 3

Solving (a): Write as inverse function

a(d) = 5d - 3

Represent a(d) as y

y = 5d - 3

Swap positions of d and y

d = 5y - 3

Make y the subject

5y = d + 3

y = \frac{d}{5} + \frac{3}{5}

Replace y with a'(d)

a'(d) = \frac{d}{5} + \frac{3}{5}

Prove that a(d) and a'(d) are inverse functions

a'(d) = \frac{d}{5} + \frac{3}{5} and a(d) = 5d - 3

To do this, we prove that:

a(a'(d)) = a'(a(d)) = d

Solving for a(a'(d))

a(a'(d))  = a(\frac{d}{5} + \frac{3}{5})

Substitute \frac{d}{5} + \frac{3}{5} for d in  a(d) = 5d - 3

a(a'(d))  = 5(\frac{d}{5} + \frac{3}{5}) - 3

a(a'(d))  = \frac{5d}{5} + \frac{15}{5} - 3

a(a'(d))  = d + 3 - 3

a(a'(d))  = d

Solving for: a'(a(d))

a'(a(d)) = a'(5d - 3)

Substitute 5d - 3 for d in a'(d) = \frac{d}{5} + \frac{3}{5}

a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}

Add fractions

a'(a(d)) = \frac{5d - 3+3}{5}

a'(a(d)) = \frac{5d}{5}

a'(a(d)) = d

Hence:

a(a'(d)) = a'(a(d)) = d

7 0
3 years ago
What is the standard notation for 3 hundred thousands + 4 hundreds +8 ones?
egoroff_w [7]

Answer: 300,408

If you add 300000+400+8 yout get 300408

3 0
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