The length of the hypotenuse and the opposite side to angle<em> </em><em>x</em> of the right triangle are 8 cm and 3 cm respectively, which gives angle <em>x </em>as approximately 22.0°
<h3>Which of the trigonometric ratios can be used to find x°?</h3>
A description of the parts of the triangle are;
Length of the hypotenuse side = 8 cm
Length of the opposite side to <em>x°</em><em> </em>= 3 cm
The trigonometric ratio of the sine of x° is presented as follows;
Therefore;
Which gives;
- Angle<em> </em><em>x </em>≈ 22.0°
Learn more about trigonometric ratios of the cosine, sines, and tangent of angles here:
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Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
Answer:
Step-by-step explanation:
|x-a|≤b
-b≤x-a≤b
add a
a-b≤x≤a+b
put a-b=-8
a+b=-4
add
2a=-12
a=-12/2=-6
-6+b=-4
b=-4+6=2
so |x+6|≤2
3: 1/3 is the ratio if you simplify the numbers.
Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )