All categories

3 years ago

Evaluate the sine of angle X for the right triangle below.

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

$\frac{7}{25}$

Step-by-step explanation:

sinx = $\frac{opposite}{hypotenuse}$

The hypotenuse = 25 since 7, 24, 25 ← Pythagorean triple

Hence

sinx = $\frac{7}{25}$

You might be interested in

if alpha and beta are the roots of the equation 3x^2-9x+2=0 find the values of: (I) alpha ×beta + alpha^2 × beta. (ii) alpha^2-a

Kryger [21]

Answer:

in steps

Step-by-step explanation:

The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers for each questions

3x²-9x+2=0

x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)

x = (9 + √57) / 6 or x = (9 - √57) / 6 (alpha and beta) or (beta and alpha)

(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)

= ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))

= ((9² - (√57)²)/36) (10 ± √57)

= (24/36) (10 ± √57)

= 2/3 (10 ± √57) or (11.7 or 1.63)

(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab

if a is alpha

= ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))

= √57/3 + 2/3

= (√57 + 2) / 3

if a is beta

((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))

= - √57/3 + 2/3

= - (√57 + 2) / 3

3 0

3 years ago

Spinner has six sections of equal shape and size. Each section is either black or white. The table shows the result of an experi

Novosadov [1.4K]

Answer:

The spinner is 3 times more likely to land on white.

Step-by-step explanation:

The spinner landed 57 times on white and 19 times on black.

57 is 3 * 19

Answer: The spinner is 3 times more likely to land on white.

4 0

3 years ago

Read 2 more answers

Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on

ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that

$P(X=0)=\frac{1}{2}$

Event X = 1 means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

$P(X=1)=\frac{1}{6}$

Event X = 2 means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

$P(X=2)=\frac{1}{12}$

Event X = 3 means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence

$P(X=3)=\frac{1}{20}$