Answer:
38 = D
Step-by-step explanation:
The 3 angles of a triangle equal 180 degrees
<B + <C + <D = 360
7x+ 12 + 2x+13 + 2x+ 12 =180
Combine terms
11x+37 = 180
Subtract 37 from each side
11x+37-37 = 180-37
11x =143
Divide by 11
11x/11 = 143/11
x =13
We want to find angle D
2x+12 = D
2(13) + 12 = D
26+12 = D
38 = D
Answer:
v ≈ (3.28512, 20.74146)
Step-by-step explanation:
v = 21(cos(81°), sin(81°))
v ≈ (3.28512, 20.74146) . . . . (x, y) components
The notation varies among authors. The vector can be written as ...
(r, θ) = (21, 81°)
r∠θ = 21∠81°
r cis θ = 21 cis 81°
v = 21·e^(i·9π/20)
(x, y) ≈ (3.28512, 20.74146)
v = 3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)
Answer:
Mei is correct because -9 is to the left of -3 on the number line.
Step-by-step explanation:
This is because -9 is LESS than -3, when you add or subtract using negative numbers, such as 7-9, you get -2. However when you subtract 7-13, you get -6. Because you subtracted a greater number from 7, your answer is -6 is LESS than -2. This is the same with inequalities, greater negative numbers will always be smaller and smaller negative numbers will always be greater.
Hope this helps!
Answer:
422.44 feet
Step-by-step explanation:
Let A, B, X, and H represent the left-most observation point, the observation point to its right, the point immediately below the apex, and the height of the apex, respectively.
Then the definition of the cotangent function tells us ...
AX = H·cot(42°)
BX = H·cot(48.85°)
Since the figure tells us AB = 100 feet, we have ...
AB = AX -BX
100 = H·cot(42°) -H·cot(48.85°)
H = 100/(cot(42°) - cot(48.85°)) ≈ 422.44 . . . . ft
The current height of the pyramid is 422.44 feet.
First one is 512,160 and the second is 84,100
