Answer: See explanation
Step-by-step explanation:
You didn't give the options relating to the question.
To solve this first, you need to know that we have to note that (+) × (-) = (-). Therefore, 1.25+(-0.75) will be thesame as writing 1.25 - 0.75. This will then be:
= 1.25 - 0.75
= 0.50
Answer: the distance of the boat from the foot of the lighthouse is 290.5 feet.
Step-by-step explanation:
The right angle triangle ABC representing the scenario is shown in the attached photo.
Angle A is alternate to the angle of depression, hence, they are the same.
The height of the lighthouse represents the opposite side of the right angle triangle. The distance, x of the boat from the foot of the lighthouse represents the adjacent side of the right angle triangle.
To determine x, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 11.1 = 57/x
x = 57/Tan 11.1 = 57/0.1962
x = 290.5 feet to the nearest tenth.
<span>Because the four numbers are consecutive, we can call the first one x, and the other three are x+1, x+2, and x+3, respectively.
x * (x+1) = (x+2) * (x+3) - 38
x^2 + x = x^2 + 5x +6-38
x^2 + x = x^2 + 5x - 32
-4x = -32
x=8
The four numbers are 8, 9, 10, and 11
check solution: 8*9=10*11-38
72=110-38
72=72</span>
3/4 is greater than 1/2
7/10 is greater than 5/10
and 3/8 is less the 4/8 (4/8=1/2)
Answer:
365 and 1/2 blocks will be used
The scale fact is 0.25
Step-by-step explanation:
So . .
This represents 1 block is equivalent to 2 feet
So . . There are 725 feet and because One block is equal to 2 feet you divide 725 ÷ 2 = 362.5 blocks will be used
To find the scale factor simply divide the deminsions of the new shape by old
