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2 years ago

Which is –3.2 written in the form a/b? A. -32/100 B. -5/16 C. -3/2 D. -16/5

Mathematics

1 answer:

musickatia [10]2 years ago

7 0

9514 1404 393

Answer:

D. -16/5

Step-by-step explanation:

-3.2 = -32/10 = -16/5 . . . . matches choice D

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More detail

Any finite decimal can be converted to a fraction by considering the place value of the digits.

3.2 = 3×1 + 2×(1/10)

= 3 + 2/10 = (30 +2)/10 = 32/10

Then common factors can be cancelled from numerator and denominator.

32/10 = (2·16)/(2·5) = 16/5

The negative sign can be applied as required.

-3.2 = -(3.2) = -(16/5) = -16/5

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Geometry- I need an answer for x and y.

elixir [45]

Answer:

x = 13sqrt(3) ft = 22.5 ft

y = 13 ft

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is

short leg : long leg : hypotenuse = 1 : sqrt(3) : 2

From the ratio above we see that the hypotenuse is twice the short leg.

The long leg is sqrt(3) times the short leg.

y = short leg

x = long leg

26 ft = hypotenuse

y = 26 ft/2 = 13 ft

x = 13 ft * sqrt(3) = 13sqrt(3) ft = 22.5 ft

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2 years ago

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A movie theater decreased the size of its popcorn bags by 20%. If the old bags held 15 cups of popcorn, how much do the new bags

vovikov84 [41]

Answer:

Your answer will be  $12$  cups of popcorn.

Step-by-step explanation:

To find out how much the new bags hold, you need to find out the discount.

$\frac{20}{100 } = .2$

$15 * .2 = 3$

We know that the discount is $3$ .

To figure out how much the new bags hold, subtract by the old bags.

$15 - 3 = 12$

The new bags hold 12 cups of popcorn. 

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2 years ago

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what i

Usimov [2.4K]

Answer:

The area is: $77x^2 + 105x + 28$ , option b.

Step-by-step explanation:

Rectangular area:

The area of a rectangular space is given bt the multiplication of its measures.

Area of the roof:

Dimensions of 10x + 8 and 8x + 6. So

$A_{r} = (10x+8)(8x+6) = 80x^2 + 60x + 64x + 48 = 80x^2 + 124x + 48$

Area of the skylight:

Dimensions of x + 5 and 3x + 4. So

$A_{s} = (x+5)(3x+4) = 3x^2+4x+15x+20 = 3x^2 + 19x + 20$

What is the area of the remaining roof after the skylight is built?

Total subtracted by the skylight, which is a subtraction of a polynomial, in which we subtract the like terms. So

$A_{r} - A_{s} = 80x^2 + 124x + 48 - (3x^2 + 19x + 20) = 80x^2 - 3x^2 + 124x - 19x + 48 - 20 = 77x^2 + 105x + 28$

The area is: $77x^2 + 105x + 28$ , option b.

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2 years ago

Given an initial polynomial of x^2 + 2x, which polynomial needs to be added to it

Flauer [41]

Answer:

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Step-by-step explanation:

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2 years ago

The side lengths of a triangle are 5, 10, and 13. Is this a right triangle?

Zarrin [17]

Answer:

Step-by-step explanation:

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so 5²+10²≠13²

so it is not a right angled triangle.

5 0

3 years ago

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