Use similarity property:
14 / (14+6) = 21 / (21 + (x+4))
14/20 = 21/(x+25) cross multiplication property
14*(x+25) = 20*21
14x + 350 = 420
14x = 70
x = 70/14 = 5.
The kite is flying at the height of 94 5/2 feet.
Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
= 9.75 +84 2/3 { 9+0.75 = 9.75 84 2/3}
= 9 + 0.75 +84 2/3 { a+b+c+d = a+c+b+d}
= 9 + 84 + 3/4 + 2/3
=93 + 3*3 / 4*3 + 4*2 / 4*3
= 93 + 9/12 + 8/12
= 93 + 17/12
= 93 + (1 + 5/12)
= 94 + 5/12
=94 5/12 feet
{kite height = (post height + the height of the kite above the post)
To learn more about addition from given link
brainly.com/question/24536701
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Answer:
D, m<4 is 137°
Step-by-step explanation:
The answer would be D, because m<4 would be supplementary with the angle that's 43 degrees. Supplementary angles add up to 180, so this could be found through the following equation.
x + 43 = 180
x would represent <4
You would now subtract 43 from both sides.
x = 137
Step-by-step explanation:
In this case we have:
Δx = 3/n
b − a = 3
a = 1
b = 4
So the integral is:
∫₁⁴ √x dx
To evaluate the integral, we write the radical as an exponent.
∫₁⁴ x^½ dx
= ⅔ x^³/₂ + C |₁⁴
= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)
= ⅔ (8) + C − ⅔ − C
= 14/3
If ∫₁⁴ f(x) dx = e⁴ − e, then:
∫₁⁴ (2f(x) − 1) dx
= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx
= 2 (e⁴ − e) − (x + C) |₁⁴
= 2e⁴ − 2e − 3
∫ sec²(x/k) dx
k ∫ 1/k sec²(x/k) dx
k tan(x/k) + C
Evaluating between x=0 and x=π/2:
k tan(π/(2k)) + C − (k tan(0) + C)
k tan(π/(2k))
Setting this equal to k:
k tan(π/(2k)) = k
tan(π/(2k)) = 1
π/(2k) = π/4
1/(2k) = 1/4
2k = 4
k = 2
