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-BARSIC- [3]
4 years ago
5

Triangle ABC is an isosceles right triangle with right angle C. Which of the following statements is true?

Mathematics
2 answers:
Lemur [1.5K]4 years ago
6 0
The answer is sinA = sinB
valentinak56 [21]4 years ago
4 0
Due to the lengths a and b being equal, their angles will also be equal, having a value of 45° each.
Thus, sin(A) = sin(B)
The third option is correct.
You might be interested in
What are the greatest common divisors of these pairs of integers?a. 3⁷. 5³. 7³,2ⁱⁱ.3⁵.5⁹b. 11.13.17, 2⁹.3⁷.5⁵.7³c. 23³ⁱ,23ⁱ⁷d. 4
KatRina [158]

Answer:

a) 3⁵5³.

b) 1

c) 23³

d) 41·43·53

e) 1

f) 1111

Step-by-step explanation:

The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.

For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².

a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.

b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1

c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.

d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53

e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.

f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd

5 0
3 years ago
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 player, in rou
Aleks04 [339]

Answer:

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

The number of players compete in round 7 will be 4.

Step-by-step explanation:

The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.

So, the number of players is multiplied by \frac{1}{2} gives the number of players in the next round.

Therefore, the explicit function of number of players in nth round is given by  

a_{n} = a_{1} (\frac{1}{2} )^{n - 1} where a_{1} = 256.

Therefore, the number of players compete in round 7 will be a_{7} = 256 \times (\frac{1}{2} )^{(7 - 1)}  = 4. (Answer)

8 0
4 years ago
What is the volume of the cone?
WARRIOR [948]

Answer:

70/3 πcm

Step-by-step explanation:

hope this helps

8 0
3 years ago
Ignore my errors please. how would i solve these problems... please explain step by step
chubhunter [2.5K]
1.

Make the fractions improper.

72/12 x 19/6 = 19.


2. 

Area = L x W

L = 3 1/6 x
W = 6 7/12

= 19.

#1 = 19 feet
#2 = <span>9 3/4 feet</span>





5 0
3 years ago
line y = 2x+1 is transformed by a dialation with a scale factor of two and centered at (0,-4). what is the equation of the image
Gekata [30.6K]

Answer: y = 2x + 6

Step-by-step explanation:

Here the equation of line,

y = 2x + 1

y-intercept of the line is, (0, 1)

And, the slope of the line is 2.

Since, If a point (x,y) is dilated by a scale factor k about a point (a,b),

Then transformed point are get by,

(x,y)\rightarrow (k(x-a)+a, k(y-b)+b)

Thus, The transformed point of point (0,1) when dilation is occur by the scale factor 2 about the point (0,-4),

(0,-4)\rightarrow (2(0-0)+0, 2(1+4)-4)

(0,-4)\rightarrow (0, 6)

Thus, the point of the new line is (0,6)

And, the slope of the new line is 2 ( because in the dilation, the slope of the line does not change)

Thus, the equation of new line,

(y - 6) = 2 (x - 0)

y - 6 = 2x

y = 2x + 6


5 0
3 years ago
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