<h3>
Answer: B) 569 feet</h3>
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Work Shown:
sin(angle) = opposite/hypotenuse
sin(6) = a/5440
5440*sin(6) = a
a = 5440*sin(6)
a = 568.634840176034
a = 569 feet, which shows why <u>choice B</u> is the answer.
This value is approximate. Make sure your calculator is in degree mode. One way to check is to compute sin(30) and you should get 0.5
side note: 569 feet is roughly equal to 0.1078 miles.
Answer:5 + /- sqrt35
Step-by-step explanation:
Rearranging, we get x^2 -10x -10=0
Applying the quadratic formula,
(10 +/- sqrt(10^2 -4*-10))/2
(10+/- 2sqrt35) /2 = 5 + /- sqrt35 as the two roots.
Answer:
A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A =
h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A =
× 3 × (3 + 7) = 1.5 × 10 = 15 units²
Answer:f(2x+2)=4x2+2x−2
Step-by-step explanation:
Answer:
The answer to your question is:
x = 21
y = 4
∡ = 75° and 105°
Step-by-step explanation:
Process
3(x + y)° + 5x = 180 supplementary angles
3(x + y) = 4x - 9 corresponding angles
Expanding
3x + 3y + 5x = 180 (1) Like terms
3x + 3y = 4x - 9 (2)
8x + 3 y = 180 (1)
8 ( -x + 3 y = -9) (2) Multiply by 8
8x + 3y = 180 (1)
-8x +24y = -72 (2) Elimitation method
27 y = 108
y = 108 / 27
y = 4
8x + 3 (4) = 180
8x +12 = 180
8x = 168
x = 21
3(21 + 4) = 3(25) = 75°
5(21) = 105°