Answer:
The correct answer is option B. 4√3/3
Step-by-step explanation:
<u>Points to remember</u>
If a right angled triangle with with angles 30°, 60° and 90° then the sides are in the ratio 1 :√3 : 2
<u>To find the value of y</u>
From the figure we can see two right angled triangle.
From the figure we get height 'h' of large triangle is written by,
h : base : 8 = 1 : √3 : 2
Therefore h = 8/2 = 4
Also we can write,
y : h : hypotenuse of small triangle = 1 : √3 : 2
y : 4 : hypotenuse = 1 : √3 : 2
Therefore y = 4/√3 = 4√3/3
The correct answer is option B. 4√3/3
Answer:
3, 5, 7
Step-by-step explanation:
1st number: (2k+1)
2nd number: (2k+3)
3rd number: (2k+5), k∈Z
3*[(2k+1) + (2k+3)] = 3 + 3*(2k+5)
3*(4k+4)=3+6k+15
12k+12=18+6k
6k=6
k=1
1st number: (2k+1) = 3
2nd number: (2k+3)=5
3rd number: (2k+5)=7
Answer:
6x ≥ 3 + 4(2x - 1)
⇔ 6x ≥ 3 + 8x - 4 => remove the parentheses
⇔ 6x - 8x ≥ 3 - 4
⇔ -2x ≥ -1
⇔ 2x ≤ 1 (or 1 ≥ 2x)
⇔ x ≤ 1/2
⇔ x ≤ 0.5
The answer for the question should be:
1 ≥ 2x
6x ≥ 3 + 8x – 4
and the first graph.
Answer:
c ≈ 40
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = 
= 
= 
( multiply both sides by c )
c × sin40° = 26 ( divide both sides by sin40° )
c = 
≈ 40 ( to the nearest whole number )
Answer:
The Answer is D - $34.19
Step-by-step explanation:
Have a nice day.
