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3 years ago

The given polygons are similar. Find the value of x.

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

X would have to equal 10. This would be the answer because the numbers have to be proportional. To do that all you have to do is do 12/8. Then you get 1.5. Then you do the same for 15. Do 15/1.5 and get 10.

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What is the estimate for 23 3/8

Bumek [7]

23 x 8 = 184

184 + 3 = 187 = 187/8

187 / 8 = 23 3/8

Answer: 187/8

8 0

3 years ago

I need help on this question ASAP pls

kirill [66]

Answer:

64/8

Step-by-step explanation: If a = 32 and b = 8, then the fraction turns into 2(32)/8.

2*32 is 64.

So, it turns into 64/8

You could also simplify it to 8/1, which is 8.

7 0

3 years ago

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A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 64 ft3. what dimensions y

Doss [256]

To solve this problem you must apply the proccedure shown below:

1. You must use the formula for calculate the surface area and the volume of the tank:

$1) SA=x^{2} +4xy\\ 2) V=x^{2} y\\ 64=x^{2} y$

2. Solve for $y$ in the second equation and substitute it into the first one.Then, you have:

$y=\frac{64}{x^{2}} \\ SA=x^{2} +4x(\frac{64}{x^{2}})$

3. Now, derivate:

$SA'=2x-256x^{-2} \\ 2x-256x^{-2}=0$

4. When you solve for $x$ , you obtain:

$2x^{3}-256=0\\ x=\sqrt[3]{\frac{256}{2}} \\ x=5.03$

5. Now, you must calculate $y$ :

$y=\frac{64}{(5.03)^{2}} \\ y=2.52$

Therefore, the dimensions are:

The sides of the base of the tank: $5.03 feet$

The height of the tank: $2.52 feet$

8 0

3 years ago

Sally is planning a trip for 225 students

Gala2k [10]

Answer: 75 students.

Step-by-step explanation:

In the data set we have a total of 10 + 8 + 7 + 5 = 30 students.

of those, 10 want to go to the park, the percentage is:

(10/30)*100% = 33.3%

Then, out of the 225, we can expect that a 33.3% (or 0.333 in decimal form) want to go to the park, this is:

N = 225*0.333% = 74.925

We can roud it up, and get N = 75

So Sally can expect that 75 students want to go to the park

4 0

3 years ago

5x + 10 > 35<br> How do you work this out?

Alexxx [7]

Answer:

$x > 5$

Step-by -step explanation:

Solving inequalities is similar to solving equations.

$5x + 10 > 35$

Subtract 10 from both sides.

$5x > 25$

Divide by 5 from both sides to isolate the x.

$x > 5$

3 0

3 years ago

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