Answer:
(7√6)/2
Step-by-step explanation:
The side ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
This tells you the length of the horizontal line is 7√3, and the value of x is ...
(7√3)/√2 = (7√6)/2
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<em>Additional comment</em>
Call the length of the horizontal line "y". Then the given ratios tell you ...
7 : y = 1 : √3 ⇒ y/7 = √3/1 ⇒ y = 7√3
and
x : y = 1 : √2 ⇒ x/y = 1/√2 ⇒ x = y/√2
When we rationalize the denominator, we get ...
x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2
Answer:
c = 6
Step-by-step explanation:
1/2 (2(4) + 4) = 3(4) - c
1/2 (8 + 4) = 12 - c
1/2 (12) = 12 - c
6 = 12 - c
-6 = -c
c = 6
Answer:
8
Step-by-step explanation:
Sum the parts of the ratio 4 + 2 = 6 parts
Divide 24 by 6 to find the value of one part of the ratio
24 ÷ 6 = 4 ← value of 1 part, thus
number of boys = 4 × 4 = 16
number of girls = 2 × 4 = 8
Hence there are 8 more boys than girls
Mark me brainliest and I will
Simplifying the above expression we shall proceed as follows:
<span>x-2/(x^2+4x-12)
factoring out the denominator we get:
</span>x^2+4x-12
=x^2-2x+6x-12
=x(x-2)+6(x-2)
=(x+6)(x-2)
thus our expression will be:
(x-2)/[(x+6)(x-2)]
simplifying the above we get:
1/(x+6)
Answer: 1/(x+6)
