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3 years ago

The diagram shows two rectangles which have the same area . Find the value of y.

Mathematics

1 answer:

jeka57 [31]3 years ago

7 0

Answer:

y = 4

Step-by-step explanation:

Since the 2 rectangles have the same area, then

12.5 × 2y = 5 × 20

25y = 100 ( divide both sides by 25 )

y = 4

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What is the area of the triangle

Ludmilka [50]

Wouldn't the formula be a×b/2?

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3 years ago

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In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent

Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0

3 years ago

A circle with radius of \greenD{5\,\text{cm}}5cmstart color #1fab54, 5, start text, c, m, end text, end color #1fab54 sits insid

Marat540 [252]

Answer:

The area of the shaded region is 42.50 cm².

Step-by-step explanation:

Consider the figure below.

The radius of the circle is, r = 5 cm.

The sides of the rectangle are:

l = 11 cm

b = 11 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

$=[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50$

Thus, the area of the shaded region is 42.50 cm².

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3 years ago

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A box of cookies contains 4 chocolate and 6 butter cookies. Miguel randomly selects a cookie and eats it. Then he randomly selec

laila [671]

Answer:

The probability of the flavor of the second cookie is always going to be dependent on the first one eaten.

Step-by-step explanation:

Since the number of the type of cookies left depends on the first cookie taken out.

This is better explained with an example:

Probability Miguel eats a chocolate cookie is 4/10. The probability he eats a chocolate or butter cookie after that is 3/9 and 6/9 respectively. This is because there are now only 3 chocolate cookies left and still 6 butter cookies left.
In another case, Miguel gets a butter cookie on the first try with the probability of 6/10. The cookies left are now 4 chocolate and 5 butter cookies. The probability of the next cookie being chocolate or butter is now 4/9 and 5/9 respectively.

The two scenarios give us different probabilities for the second cookie. This means that the probability of the second cookie depends on the first cookie eaten.

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3 years ago

Which is a good comparison of the estimated sum and the actual sum of 7 7/8 + 2 2/11?

Ipatiy [6.2K]

7 7/8 can be estimated to 8

2 2/11 can be estimated to 2

8 + 2 = 10

7 7/8 = 56+7/8 = 63/8

2 2/11 = 22+2/11 = 24/11

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So do you see how similar 10 and 10.06 are to each other? :)

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3 years ago

The diagram shows two rectangles which have the same area . Find the value of y.​

The diagram shows two rectangles which have the same area . Find the value of y.