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Lynna [10]
3 years ago
12

20 POINTS

Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

c. 441ft^2

Step-by-step explanation:

Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:

\sqrt{841} = 29

\sqrt{400} = 20

Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2

a^2 + b^2 = c^2

a^2 + 20^2 = 29^2

a^2 + 400 = 841

subtract 4 from both sides

a^2 = 441

square root both sides

\sqrt{a^2} = \sqrt{441}

a = 21

Now the side a of the triangle is also a side of the small square therefore

21^2 = 441

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Explain why the sum or product of rational numbers is rational; why the sum of a rational number and an irrational number is irr
Colt1911 [192]

Answer:

Rational numbers are fractional numbers, whose numerator and denominator are integers and the denominator is ever zero.

Step-by-step explanation:

The sum of rational numbers gives a rational number;

   \frac{1}{3}  + \frac{1}{3} = \frac{2}{3} , because the evaluation of the denominator always results to a non-zero integer.

The product of  \frac{1}{3} x \frac{1}{3} = \frac{1}{9}, which multiply both numerator and denominator to give integer numbers.

The sum and product of rational and irrational numbers are always irrational numbers, for instance,

           \frac{1}{3} x 7 = 2.3 , which is a number which decimal points that can only be represented by the product irrational number and rational number , where 7 is an irrational number.

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4 0
3 years ago
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Yuliya22 [10]

Your answer is the last option, 6.


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This gives us a total of 46 people that like baseball, subtract 40 people that like tennis, and 46 - 40 = 6.


I hope this helps!

3 0
3 years ago
Find the radius of a hemisphere with a volume of 106.1 cubic inches. Round to the nearest tenth if necessary.
True [87]

Answer:

Step-by-step explanation:

8 0
2 years ago
Let P be a predicate. Determine whether or not each of the following implications is true and give a brief English explanation f
den301095 [7]

Answer:

See answer below

Step-by-step explanation:

1), Probably, your implication is ∀x∃yP(x,y)⇒∃x∀yP(x,y).

This implication is false. Consider the predicate P(x,y):="x<y" for real numbers x,y. Then, ∀x∃yP(x,y) is true: for all real x, there exists some y greater than x (take y=x+1 for example). However, ∃x∀yP(x,y) is false, as it would imply that there exists some real number x such that x is smaller than all real numbers, which is not true (real numbers do not have a minimum or a lower bound).

A short explanation would be, even if for all elements you can find one that makes a predicate true, you can not find one element that makes the predicate true for all elements.

2) Again, I assume that the predicate is ∃x∀yP(x,y)⇒∀x∃yP(x,y)

This implication is false. Consider the predicate P(x,y):="x is integer and xy=0 " for real numbers x,y. Then ∃x∀yP(x,y) is true, we need to take x=0. However, ∀x∃yP(x,y) is false, if you take x=1/2, 1/2 will never be an integer, no matter the value of y.

A short explanation would be, even if you can find one element that makes a predicate true for all elements, you can not always take an arbitrary element and find some element that makes the predicate true.

6 0
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8 0
3 years ago
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