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deff fn [24]
3 years ago
15

Liza and Abby plan to spread out blankets at a park for a picnic with some friends. The park is crowded, so they end up overlapp

ing the blankets as is shown in the diagram.

Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer: 44.5 ft²

Step-by-step explanation:

The area of pink blanket is considering A=5\times 5.7=28.5 and the area of a rectangle is A=l\times w .

Now we have area of the pink blanket which is 28.5.

The area of blue blanket - A=24=6 x 4

Area of a triangle: A= 1/2 x base x height and that is 1/2 x 4 x 4 which is 8. and that is the area of both blankets.

Now, pink blanket 28.5 x blue blanket 24 minus 8 is giving us the number that is referring to total area that is covered and that is 44.5 ft²

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Line segment XY is located at X(2, 6) and Y(4,8). If the line segments is dilated by a scale factor of 2 with a center of dilati
Kamila [148]

Given:

Line segment XY is located at X(2, 6) and Y(4,8).

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4).

To find:

The coordinates of X'

Solution:

If a figure dilated by a scale factor k with a center of dilation (a,b), then the rule of dilation is:

(x,y)\to (k(x-a)+a,k(y-b)+b)

The line segments is dilated by a scale factor of 2 with a center of dilation of T(-3, 4). So, the rule of dilation is

(x,y)\to (2(x-(-3))+(-3),2(y-4)+4)

(x,y)\to (2(x+3)-3,2y+2(-4)+4)

(x,y)\to (2x+6-3,2y-8+4)

(x,y)\to (2x+3,2y-4)

The coordinate of X are (2,6).

X(2,6)\to X'(2(2)+3,2(6)-4)

X(2,6)\to X'(4+3,12-4)

X(2,6)\to X'(7,8)

Therefore, the coordinates of X' are (7,8).

7 0
3 years ago
Which article headline indicates a correlation between two variables?
kotegsom [21]
Do you have a b c or d
4 0
3 years ago
A store is having a sale where movies are 40% off their original price. A movie is on sale for $26.00. What was the original pri
Bas_tet [7]
$36.4
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8 0
3 years ago
A rectangle with sides 12 cm and 14 cm has the same diagonal as a square.
umka2103 [35]

Answer:

a=\sqrt{170}

Step-by-step explanation:

<u>Diagonal of a Square</u>

Given a square of length side a, the length of the diagonal is

D=\sqrt{2}a

The diagonal of a rectangle of sides x and y is

D=\sqrt{x^2+y^2}

The sides have lengths 12 cm and 14 cm, the diagonal is

D=\sqrt{12^2+14^2}

D=\sqrt{340}

Since this value is the same of the diagonal of certain square, we can say

\sqrt{2}a=\sqrt{340}

Dividing by \sqrt{2}

\boxed{a=\sqrt{170}}

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3 years ago
Barry brought 17.50 meters of a light rope at $0.48 per meter and three meters of heavy rope at $1.08 per meter. How much change
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