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3 years ago

A window in the shape of a parallelogram has the dimensions given.

Mathematics

2 answers:

mariarad [96]3 years ago

8 0

<h3>Answer: 20 square feet (choice A)</h3>

The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

The height is DE = 4 ft

Area of a parallelogram is base times height. It's effectively the same formula as a rectangle (any rectangle is a parallelogram, but not the other way around).

So,

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

another thing to point out: the info AE = 2 ft isn't used at all. It's probably put in there to distract or to make students try to find AD using the pythagorean theorem. Knowing the length of AD will not help find the area of the parallelogram. Though now that I think about it, you could divide this parallelogram into a rectangle and two triangles. Then find the area of each small piece to add them up to get the final answer. I show what I mean in the attached image below. However, it's much easier to use the formula area = base*height.

Phoenix [80]3 years ago

4 0

Answer:

Actually, it's 20.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that 20 is the correct answer. Have a nice day :)

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julie has 10 yards of ribbon she divides the ribbon into 3 equal pieces and uses 2 of the pieces on gifts how much ribbon does s

Lunna [17]

Answer:

2/3

Step-by-step explanation:

if we divide 10 by 3 then we get 3.3 repeating so just use the fraction 1/3. if you use 2 of the divided lengths then you get 2/3

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3 years ago

A garden hose emits 9 quarts of water in 6 seconds how much did the water emit in 10seconds

jarptica [38.1K]

Answer:

In 10 seconds, the garden hose will emit 15 quarts of water.

Step-by-step explanation:

The amount of water emitted by the garden hose over time can be expressed as a ratio: 9/6, or 9 quarts of water for every 6 seconds of time. We can then simplify this ratio to 3/2, or 3 quarts of water for every 2 seconds of time. Since the ratio will remain constant, or the same, over time, we can set up an equivalent ratio, or fraction to find the amount of water emitted in 10 seconds: 3/2 = x/10. We look at the denominators and see that 2 x 5 = 10. In order to make the ratios equivalent, we would also multiply the numerator by 5: 3 x 5 = 15, which gives us the amount of water emitted in 10 seconds.

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3 years ago

Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of

Firdavs [7]

Answer:

$g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm

if $g (a) = 15$ , then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

$C = 2 \pi r$

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

$g (C) =\frac{C}{2\pi}$

Thus, $g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm. You have to $g (15) =\frac{15}{2\pi}$ .

On the other hand, if $g (a) = 15$ , then $a$ represents the circumference (in cm) of a circle whose radius is 15cm. You have to $a=2 \pi(15) = 30 \pi$