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3 years ago

What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

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If the leading coefficient of a quadratic function is negative then the graph of the function extends from?

coldgirl [10]

I wouldn't use the phrase "extends from." If the leading coeff. is neg, then the graph opens downward. Without more info we do not know the max of this fn. If we did know it, we could state that the graph max is (value) and that the graph "extends downward from this value."

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3 years ago

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Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form.

Lunna [17]

Answer:

y = 1/2x -3

x=-2 ⇒ y = -4

x=-1 ⇒ y = -3.5

x=0 ⇒ y = -3

x=1 ⇒ y = -2.5

x=2 ⇒ y = -2

Step-by-step explanation:

Hi, to answer this question we have to isolate y:

x - 2y = 6

-2y =6-x

y = (6-x)/-2

y = -3+1/2x

y = 1/2x -3

Now, we have to create a table with the next values (see attachment)

x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4

x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5

x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3

x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5

x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

$46 shoes, 2.9% tax what is the total cost

Amanda [17]

$\$46\times (1+\frac{2,9}{100})=\$46\times1,029=\$47,334$

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3 years ago

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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.

Tpy6a [65]

Answer:

6 meters by 9 meters

Step-by-step explanation:

Step 1: Formula for perimeter of rectangle

Rectangle's perimeter = 2 (length) + 2 (width)

Rectangle's perimeter = 2 (length + width)

Step 2: Find the length and width in terms of x

Width = x

Length = 1.5 times width

Length = 1.5x

Step 3: Find x

Perimeter = 2(length + width)

30 = 2 (1.5x + x)

30/2 = 2.5x

15/2.5 = x

x = 6

Step 4: Find the length and width

Width = x = 6 meters

Length = 1.5x = 1.5(6) = 9 meters

Therefore, the dimensions of the room are 6 meters and 9 meters.

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3 years ago

This table shows the number of marbles in a bag by color. If one marble is randomly selected from the bag, what is the

ratelena [41]

Answer:

p(blue or red) = 0.52 = 52%

Step-by-step explanation:

total number of marbles = 7 + 10 + 14 + 19 = 50

number of blue marbles = 7

number of red marbles = 19

number of blue or red marbles = 7 + 19 = 26

p(blue or red) = 26/50

p(blue or red) = 0.52 = 52%

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3 years ago

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