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3 years ago

Helene spends 22% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.

Mathematics

2 answers:

den301095 [7]3 years ago

8 0

22%=0.22 as a decimal, and 0.22 is written as 11/50

Xelga [282]3 years ago

7 0

22% as a decimal is 0.22 and as a fraction is 11/50

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2. Match the shapes given to their correct areas.

aliina [53]

Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

a. The shape given is a square.

Area of the square = $s^2$

Where,

s = 11.6 yd

Plug in the value of s

Area of the square = $11.6^2 = 134.6 $ yd^2$

b. The shape given is a circle.

Area of the circle = $\pi r^2$

Where,

r = 12 cm

Plug in the value of r

Area of the square = $\pi \times 12^2 = 452.2 $ cm^2$

c. The shape given is a parallelogram.

Area of the parallelogram = $bh$

Where,

b = 7 cm

h = 5.8 cm

Plug in the value of b and h

Area of the parallelogram = $7 \times 5.8 = 40.6 $ cm^2$

d. The shape given is a rectangle.

Area of the rectangle = $l \times w$

Where,

l = 8.3 ft

w = 5.2 ft

Plug in the value of l and w

Area of the rectangle = $8.3 \times 5.2 = 43.2 $ ft^2$

e. The shape given is a trapezium.

Area of the trapezium = $\frac{1}{2} (a + b) \times h$

Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

Plug in the value of a, b, and h

Area of the trapezium = $\frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2$

f. The shape given is a triangle. (See attachment for the shape).

Area of the triangle = $\frac{1}{2} \times b \times h$

Where,

b = 9 ft

h = 4.8 ft

Plug in the value of b, and h

Area of the triangle = $\frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2$

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

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brainly.com/question/22560863

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