3 years ago

7. What is the solution to the proportion below?

1 answer:

3 0

$\frac{2y-9}{6} = \frac{y}{4}$

Cross multiplying, we get:

$4(2y-9) = 6y \\ \\ 
8y-36=6y \\ \\ 
8y-6y=36 \\ \\ 
2y=36 \\ \\ 
y=18$

Thus the value of y for given proportion is 18.

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

4 years ago

A store advertise 15% off an item that regularly sells for 300$. What is the sale price of the item

erik [133]

Answer:

255

Step-by-step explanation:

(1-15%)a=300

a=255

7 0

3 years ago

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Suppose $886.20 is listed for $5 less. A third catalog has $886.20 marked down 20% ,which is the better deal?

Ipatiy [6.2K]

Answer:

20% of $886.20 is 177.24 so the better deal would be 20% off

Step-by-step explanation:

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3 years ago

There are 5 4/5 cups of milk left in a carton . Write 5 4/5 as an improper fraction

Ludmilka [50]

You multiply 5 x5 =4 =29/5

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4 years ago

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Solve for x. 2x^2-4x=0 A. 0, -4 B. 0, -2 C. 0, 2 D. 2, 4

madam [21]

Step-by-step explanation:

2x²-4x=0

2x²=4x

2x=4

x=2

option C

7 0

3 years ago

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