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3 years ago

Simplify the expression. 8.8 + 3.2y − 0.5(16y − 3)

Mathematics

1 answer:

Solnce55 [7]3 years ago

5 0

Expand

8.8 + 3.2y - 8y + 1.5

Collect like terms

(8.8 + 1.5) + (3.2y - 8y)

Simplify

10.3 - 4.8y

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3 years ago

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4 years ago

Erica can read 1620 pages in 12 days. How mant pages can he read in one day

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3 years ago

Please find the perimeter and area of these shapes

ladessa [460]

Answer:

ABC shaded area = 36 $\pi$ - 72 cm²

ABC shaded area perimeter = $6\pi +12\sqrt{2}$ cm

ABCD area = $\dfrac52 \pi$ cm²

ABCD perimeter = $3\pi +2$ cm

Step-by-step explanation:

Shape ABC

Assuming you want the area and perimeter of the shaded part of the shape only...

Area

Area of a sector = $\dfrac12r^2\theta$ (where r is the radius and $\theta$

⇒ area of a sector = $\dfrac12 \times 12^2\times \dfrac{\pi}{2} =36\pi \ \textsf{cm}^2$

Area of triangle = 1/2 x base x height

⇒ area of triangle = 1/2 x 12 x 12 = 72 cm²

Therefore, area of shaded area = area of sector - area of triangle

⇒ area = 36 $\pi$ - 72 cm²

Perimeter

Arc length = $r\theta$ (where r is the radius and $\theta$

⇒ arc length = $12\times\dfrac12\pi =6\pi \ \textsf{cm}$

Hypotenuse of triangle = $\sqrt{a^2+b^2}$ (where a and b are the legs of the right triangle)

⇒ hypotenuse = $\sqrt{12^2+12^2} =12\sqrt{2}$ cm

Therefore, perimeter = arc length + hypotenuse

⇒ perimeter = $6\pi +12\sqrt{2}$ cm

Shape ABCD

Area

Area of a semicircle = $\dfrac12 \pi r^2$ (where r is the radius)

⇒ area of large semicircle ABC = $\dfrac12 \times \pi \times 2^2=2\pi \ \textsf{cm}^2$

⇒ area of small semicircle AD = $\dfrac12 \times \pi \times 1^2=\dfrac12\pi \ \textsf{cm}^2$

⇒ area of shape ABCD = $\dfrac12 \pi + 2 \pi=\dfrac52 \pi \ \textsf{cm}^2$

Perimeter

1/2 circumference = $\pi r$

⇒ perimeter = $2\pi +2+\pi=3 \pi+2 \ \textsf{cm}$

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2 years ago

Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12% What is the total price Michael pays for the ba

Norma-Jean [14]

Answer:

$4.48

Step-by-step explanation:

First, you have to convert the percentage into a decimal.

12% x 100 = 0.12

Second, you multiply the decimal with the cost of the product before tax.

$4 x 0.12 = $0.48

This number is the amount of money you will have to pay in tax.

Third, you add the tax amount to the original cost of the product to get the total price.

$4 + $0.48 = $4.48

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3 years ago