What is the place value of 81,334 and 81,324

0. ‘ Alex is making 12 pennants for i " the school fair The pattern he is using to is make the pennants is shown in the 1 The fa

Svetradugi [14.3K]

Answer: Total cost to make 12 pennants is $52.5.

Step-by-step explanation:

Since we have given that

There is a rectangle and a triangle.

Length of rectangle = 1 ft

Width of rectangle = 3 ft

So, Area of rectangle is given by

$Area=Length\times Breadth \\\\Area=1\times 3\\\\Area=3\ ft^2$

Base of triangle = 1 ft

Height of triangle = 1 ft

So, Area of triangle is given by

$Area=\frac{1}{2}\times base\times height\\\\Area=\frac{1}{2}\times 1\times 1\\\\Area=\frac{1}{2}\ ft^2$

So, Total area of the pennants will be

$3+\frac{1}{2}\\\\=\frac{6+1}{2}\\\\=\frac{7}{2}\ ft^2$

Number of pennants = 12

Cost per square foot of pennant = $1.25

So, Total cost for 12 pennants is given by

$12\times \frac{7}{2}\times 1.25\\\\=\$52.5$

Hence, Total cost to make 12 pennants is $52.5.

3 0

3 years ago

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Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area

alisha [4.7K]

Answer:

= 486 in²

Step-by-step explanation:

Linear scale factor = Image distance/object distance

Therefore; Linear scale factor = OL'/OL

= 54/ 12

= 9/2

Area scale factor is equivalent to the square of linear scale factor

Thus;

Area scale factor = (9/2)²

= 81/4

Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle

Area of the smaller rectangle = 4 ×6 = 24 in²

Therefore;

Area of enlarged or larger pic = 81/4× 24

= 486 in²

3 0

3 years ago

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Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give

Jet001 [13]

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

8 0

2 years ago

Question 21

horsena [70]

Answer:

A(x) = 6x² + 26x

Step-by-step explanation:

A(x) = 4x ( x + 10 ) - 2x ( 8 ) + $\frac{2x(x)}{2}$ + $\frac{2x(x+2)}{2}$

A(x) = 4x² + x² + x² + 40x - 16x + 2x

A(x) = 6x² + 26x

7 0

2 years ago

If you bent length 44 cm is bent into a circle find the radius of the circle?If the same wire is bent into the shape of a square

Tju [1.3M]

Answer:

r = 7 cm; l = 11cm

The circle encloses more area than the square

Step-by-step explanation:

(a) Radius of circle

The formula for the circumference of a circle is

A = 2πr

r = A/(2π)

Data:

C = 44 in

Calculation:

r = 44/(2 × 22/7)

= 44/2 × 7/22

= 2/2 × 7

= 7 in

(b) Side of square

P = 4l

l = P/4

= 44/4

= 11 in

(c) Areas

(i) Circle

A = πr²

= 22/7 × 7²

= 22/7 × 49

= 22 × 7

= 154 cm²

(ii) Square

A = l²

= 11²

= 121 cm²

The circle encloses more area than the square.

5 0

3 years ago