To find how far the boat is from the bottom of the cliff is you’ll use tan;
Tan18degrees=120/x
x=120/tan18degrees
x=369m
So, you just have to recognize the line splitting the circle in half, line LJ. So, if JC (arc) is 94, then do 180-94=86. ∠LJC is an inscribed angle, so it's half of 86, which is 43°.
43° is your answer.
Answer:
284cm^2
Step-by-step explanation:
first, we split up the shape into seperate sections that we can easily find the areas of.
i will draw vertical lines in the bottom left and right, leaving me with 2 seperate rectangles and 1 irregular pentagon.
we know that these rectangles are 4x8cm, so we do 4 * 8 which gives us 32.
there are 2 of these, so 32 x 2 = 64cm^2.
now, i chose to seperarte the pentagon into a rectangle and a triangle,
and i found the height and width of the rectangle to be (18 - (4+4)) x (8+7), or 10 x 15.
the area of the rectangle is 150cm^2.
now, for the triangle.
the line through the centre of th shape is 22cm long, but we only want the part in the triangle. luckily, there are mesurements that can help us with this.
8 + 7 = 15.
22 - 15 = 7.
now we know that the height of the triangle is 7 cm.
from earlier, we also know the base, which is 10cm.
7 x 10 = 70cm^2.
now we add all these together:
70 + 150 + 64 = 284cm^2
1. 3p: Add 6 to negative 3, and carry over the "p"
3. 6x: Subtract 1 from 7 and carry over the "x"
5. -4v: Add 6 to negative 10 and carry over the "v"
7. -4r + 9: Add 5 to -9 and carry over the "r". Then put "+9" after the variable, since the other 9 was by itself.
9. 14n: Add 5 to 9 and carry over the "n".
I hope this helps!
Answer:
Step-by-step explanation:
<u>Given</u>
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<u>Step 1: Combine Like Terms on LHS</u>
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<u>Step 2: Subtract 11 on both sides</u>
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<u>Step 3: Divide both sides by -4 to isolate the x-variable</u>
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<u>Final Answer</u>
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