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Sauron [17]
4 years ago
13

Anna cuts four identical circles from a square piece of black poster board as shown.

Mathematics
2 answers:
Dmitry [639]4 years ago
6 0

Answer:

(A)3.44 square feet

Step-by-step explanation:

Length of The Square = 4 feet

Area of the Square poster board = 4 X 4=16 Square Feet

In each of the circles,

Diameter = 2 Feet

Radius = 2/2 = 1 Feet

Area of a circle =\pi r^2

Area of 1 circle =\pi*1^2=\pi ft^2

Area of the 4 circles =4*\pi=4\pi ft^2

Therefore:

Area of the leftover Poster= Area of the Square- Area of the 4 Circles

=16-4\pi\\=16-4*3.14\\=16-12.56\\=3.44 ft^2

Elden [556K]4 years ago
4 0

Answer:

3.44 square feet

Step-by-step explanation:

Please kindly check the attached file for explanation and the picture of the poster board.

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a flat rectangular piece of aluminum has a perimeter of 64 inches. the length is 10 inches longer than the width. find the width
I am Lyosha [343]

Answer:

The width of the piece is 11 inches

Step-by-step explanation:

Let

x ----> the length of the rectangular piece of aluminum in inches

y ----> the width of the rectangular piece of aluminum in inches

we know that

The perimeter of the rectangular piece of aluminum is equal to

P=2(x+y)

we have

P=64\ in

so

64=2(x+y)

simplify

32=x+y ----> equation A

x=y+10 ----> equation B

Solve the system by substitution

substitute equation B in equation A

32=y+10+y

solve for y

32=2y+10

2y=32-10

2y=22

y=11

therefore

The width of the piece is 11 inches

3 0
3 years ago
Jim has 3 apples. Mary takes 2. How many apples does Jim have now? PLZ HELP THIS IS IN MY HIGH SCHOOL MATHBOOK AND I DONT KNOW T
Anton [14]

Answer:

1

Step-by-step explanation:

3-2=1

3 0
3 years ago
Read 2 more answers
Una persona que está situada entre dos montañas emite un sonido, si percibe el primer eco a los 2 seg, y el siguiente a los 3 se
Goryan [66]

Answer:

1715 metros

Step-by-step explanation:

Lo que debemos hacer es calcular la distancia del primer y del segundo eco.

Debemos conocer la velocidad del sonido que en términos generales es 343 m/s, por lo tanto, la distancia sería igual a:

v = d/t => d = v*t

d1 = 343*2 = 686 metros

d2 = 343*3 = 1029 metros

La separación sería la suma de ambas distancias así:

686 + 1029 = 1715

1715 metros sería la distancia de separación entre ambas montañas.

3 0
3 years ago
At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before adding the toppings. After the cups are fi
Otrada [13]
What are the options?

3 0
3 years ago
What is the graph of the system y = –2x + 3 and 2x + 4y = –8?
velikii [3]
Hello,

Answer A (graph most left)

Intersection is (10/3,-11/3)

y=-2x+3
y=-2-x/2
so -2x+3=-2-x/2
==>3x/2=5 ==>x=10/3
and y=-2*10/3+3=-11/3


8 0
4 years ago
Read 2 more answers
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