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yan [13]
3 years ago
14

URGENT!!!!!!!! PLEASE HELP ASAP TIMED!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
rodikova [14]3 years ago
5 0

Answer:

x = 18 and y = 6√10

Step-by-step explanation:

First using pythagoras theorem on the small triangle

h² = 6² + 2²

h² = 36 + 4

h² = 40

h= √40

h = √4 * 10

h = 2√10

Using the similarity theorem;

y/2√10 = 6/2

y/√10 = 6

y = 6√10

To get x we will use the pythagoras theorem

y² = x²+6²

(6√10)² = x² + 36

360 = x² + 36

x² = 360 - 36

x² = 324

x = 18

Hence x = 18 and y = 6√10

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You are making a walkway around part of a swimming pool. The dimensions of the swimming pool are 18 and 25, while the dimensions
vredina [299]

Answer:

A = 4x^2 + 86x + 450

Step-by-step explanation:

Given

Walkway = x

Length = 18

Width = 25

Required:

The area of the swimming pool

Assume the walkway will be on the 4 sides of the swimming pool.

The total length (L) of the swimming pool will be:

L = 18 + x + x

L = 18 + 2x

The total width (W) will be:

W = 25 + x + x

W = 25 + 2x

The area (A) is:

A = L * W

A = (18 + 2x) * (25 + 2x)

Expand bracket

A = 18 * 25 + 18 * 2x + 25 * 2x + 2x * 2x

A = 450 + 36x + 50x + 4x^2

A = 450 + 86x + 4x^2

Reorder

A = 4x^2 + 86x + 450

8 0
3 years ago
When does a limit exist.
kykrilka [37]

Answer:

In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.

Step-by-step explanation:

6 0
2 years ago
1.What are the values of the 6s in 36,621?
enot [183]
1) The value of 6s in 36,621 are 6,000 and 600.

first 6 is in the thousands place value while the second 6 is in the hundreds place value.
6 x 1000 = 6,000 and 6 x 100 = 600

2) The first 4 is ten times greater than the second 4 is shown in 354,426

the first 4 is in the thousands place value while the second 4 is in the hundreds place value
4 x 1000 = 4000 and 4 x 100 = 400

based on the question the first 4, which is 4000, is ten times greater than the second 4, which is 400.
we can check if this statement is true either by dividing 4000 by ten or multiplying 400 by ten.

4000/10 = 400 ; 400 x 10 = 4000. therefor, out of the 4 numbers given, the correct one is 354,426

3) The relationship of the two 5s in 552 is shown in 500 ÷ 50 = 10

based on its place value, the first five is in the hundreds place and the second five is in the tens place.

500 ÷ 50 = 10. This equation states that 500 is ten times greater than 50.

4) In 2,077 the first 7 is greater than the second 7 by 10 times.

using place value, first 7 is in the tens place while second 7 is in the ones place.

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70 ÷ 7 = 10 times.


8 0
3 years ago
Bag A: Two thirds of the candies are yellow. What portion of the candies is green
dalvyx [7]

Answer: \frac{1}{3} proportion of candies are green.  

Solution:  

In bag A, \frac{2}{3} candies are yellow.  

\frac{2}{3} this proportion shows ratio of favorable over total candies.  

Here numerator number is 2.  

So, Total number of yellow candies should be 2x

Total number of candies in Bag A would be 3x

Number of green candies in bag A = 3x-2x = x

Now we find the portion of green candies in bag A

\therefore,  \frac{x}{3x}

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7 0
3 years ago
A glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a ma
Umnica [9.8K]

582.74 square inches of glass is required to construct the tank

Step-by-step explanation:

Base dimensions= 22 x 12 inches

Volume of the fish tank = 3960 cubic inches

Volume = l x w x h

3960 = 22 x 12 x h

h = 3960 /(22 x 12)

h = 3960/462

h = 8.57 inches

The glass used = lateral surface area of the rectangular prism

= 2(lh + wl)

= 2(188.57 + 102.8)

= 2(291.37)

= 582.74 square inches

582.74 square inches of glass is required to construct the tank

7 0
3 years ago
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