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Vera_Pavlovna [14]
3 years ago
12

The given diagram can be used to prove the Pythagorean theorem. Which expression represents the total area of the largest square

on the diagram?
A) a2 + b2

B) a2 + b2 + c2

C) a2 + 2ab + b2

D) a2 + ab + b2

Mathematics
2 answers:
balandron [24]3 years ago
5 0

Answer:

a2 + b2

area of red square = a2; blue square = b2 -> total area = a2 + b2

Oksanka [162]3 years ago
3 0

Answer:

C = a² + 2ab + b²

Step-by-step explanation:

From the diagram above,

Let the dimension of the square be

A (length) = (a + b) and B (breadth) = (a + b).

Area of the square is A*B

A * B = (a + b) * (a + b)

Area = a² + ab + ab + b²

Area = a² + 2ab + b².

Therefore the expression that defines the area of the square is a² + 2ab + b².

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who does the number, of zeros in the product of 8 and 5000 compara to the number of zeros in the factors ? explain.
mezya [45]
If one of the numbers we multiply (factors) has zeros at the end, and the other isn't a fraction: all those zeros will stay in the product.

But there might be additional zeros if the other numbers  in the factors (the numbers which aren't 0) mupliply  to  "end" in zero and this is the case here:

8*5=40.

so the product will be 40 and the zeros of the 5000:

40 000

the number of zeros in the product will be bigger than the number of zeros in the factors if the non-zero parts of the fractions multiply to a number with 0 at the end.
4 0
3 years ago
What number is equal to
Salsk061 [2.6K]

Answer:

1296

Step-by-step explanation:

(1/6)^-4

6^4/1

1296/1

1296

8 0
3 years ago
Read 2 more answers
If y = 1/2(d + 1), find y when d = 7
nata0808 [166]

Answer:

4

Step-by-step explanation:

Plug in 7 for d:

y= 1/2(7+1)

y=1/2(8) .... Adding what's in the parenthesis (PEMDAS)

y=4 ..... Multiply 1/2 by 8

Hope this helps:)

5 0
3 years ago
Read 2 more answers
An unbiased coin is tossed 15 times. In how many ways can the coin land tails either exactly 8 times orexactly 5 times?
Kitty [74]

Answer:

Probability to get tails exactly 8 times or exactly 5 times is 0.29

Step-by-step explanation:

No of ways the coins lands tails exactly 8 times

P(8) = 15C8 × 0.5^{8} × 0.5^{15-8}

No of ways the coin lands tails exactly 5 times

P(5) = 15C5 × 0.5^{5} × 0.5^{15-5}

Probability to get tails exactly 8 times or 5 times

P(8)+P(5) =  15C8 × 0.5^{15} + 15C5 × 0.5^{15}

P = 0.5^{15} (  15C8 + 15C5 )

P = 0.5^{15} ( (  \frac{15!}{8!(15-8)!}  ) + ( \frac{15!}{5!(15-5)!} ) )

P = 0.5^{15} ( 6435 + 3003 )

P = 0.5^{15} ( 9438)

P = 0.5^{14} ( 4719)

P =  \frac{4719}{16384}

P = 0.29

8 0
3 years ago
Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter
Levart [38]

Answer:

Match each of the trigonometric expressions below with theequivalent non-trigonometric function from the following list.Enter the appropiate letter(A,B, C, D or E)in each blank

A . tan(arcsin(x/8))

B . cos (arsin (x/8))

C. (1/2)sin (2arcsin (x/8))

D . sin ( arctan (x/8))

E. cos (arctan (x/8))

These are the spaces to fill out :

.. ..........x/64 (sqrt(64-x^2))

.............x/sqrt(64+x^2)

.............sqrt(64-x^2)/8

..............x/sqrt(64-x^2)

..............8/sqrt(64+x^2)

A. ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

Step-by-step explanation:

To solve this we have to find the missing sides to each of the triange discribed in prenthesis thus

A we have the sides of the triangle given by x, 8 and  \sqrt{8^{2} - x^{2} }or  \sqrt{64 - x^{2} }

thus tan(arcsin(x/8))  = \frac{x}{\sqrt{64 - x^{2} }}  =

Therefore  ........tan(arcsin(x/8))  =......x/sqrt(64-x^2)

B

Here we have cos = adjacent/hypotenuse where adjacent side is \sqrt{64 - x^{2} } and hypothenuse = 8 we have \sqrt{64 - x^{2} }/8

B .      cos (arsin (x/8))  ....sqrt(64-x^2)/8

4 0
3 years ago
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