Answer:
1668 feet.
Step-by-step explanation:
We know the opposite side of the right triangle and we need the adjacent side, so we use the tangent function.
If the distance required is x (adj side) we have:
tan 41 = opp/adj
tan 41 = 1450/x
x = 1450 / tan 41
= 1668.03
Answer:
2⁰ + 2¹+ 2⁵ +2³ = 43
Step-by-step explanation:
since 43 is odd, we know 2⁰ or 1 must be one of the sums
43 - 2⁰ = 42
42 - 2¹ = 40
16 = 2⁴
40-2(16) = 40 - 2⁵ = 8
8 = 2³
adding this all together
2⁰ + 2¹+ 2⁵ +2³ = 43
Answer:
6.735
Step-by-step explanation:
im smart
The domain of the given inequality is y>1.
<h3>
What is Inequality?</h3>
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here, given inequality:
y < 
Related equation:
y = 
The equation defined as,
x+3 > 0
x > -3
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,

adding 1 on both sides, we get

y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
Thus, the domain of the given inequality is y>1.
Learn more about Inequality from:
brainly.com/question/20383699
#SPJ1
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm