Using the law of cosins
sin(angle) = Opposite Leg / Hypotenuse
The angle is given as 35 degree and the hypotenuse is given as 30 feet.
Sin(35) = X ( opposite leg) / 30
X = 30 * sin(35)
x = 17.2 feet.
Total height = 17.2 + 6.5 = 23.7, round to 24 feet.
The answer is 24 feet.
87 ⇒ 90
34 ⇒ 30
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121 120
Answer:
(x -+2)² + (y - 4)² = 36
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 2, 4) and r = 6 , then
(x - (- 2))² + (y - 4)² = 6² , that is
(x + 2)² + (y - 4)² = 36 ← equation of circle
To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.
Formula:
- S₁₃ = a(rⁿ-1)/(r-1).............. Equation 1
Where:
- S₁₃ = Sum of the first thirteen terms of the geometric series.
- a = First term of the series
- r = Common ratio
Given:
Substitute these values into equation 1
- S₁₃ = -10(3¹³-1)/(3-1)
- S₁₃ = -7971615
Answer:
35735
Step-by-step explanation:
Step 1:
35000 + 0.021(35000)
=35735
