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Paraphin [41]
3 years ago
12

From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea

Mathematics
1 answer:
Andrei [34K]3 years ago
5 0

Answer:

  • Lighthouse= 160 ft
  • Theta= 24
  • We want to find the length so we will do
  1. tan(24)= 160/x
  2. x= 359 feet
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. A television is advertised for sale at 33% off. The original price is x dollars. (a) Write two different equivalent expression
Pavlova-9 [17]

Answer:

x-(x times 33%)  or x times (100-33)%

Step-by-step explanation:

8 0
3 years ago
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
ElenaW [278]

Answer:

x =  -2 ±sqrt(7)

Step-by-step explanation:

3x^2 +12 x = 9

Divide each side by 3

3x^2 /3 +12x/3 = 9/3

x^2 +4x = 3

Take the coefficient of x

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add it to each side

x^2 +4x+4 = 3+4

x^2 +4x+4 = 7

(x+2)^2 = 7

Take the square root of each side

x+2 = ±sqrt(7)

Subtract 2 from each side

x+2-2 = -2 ±sqrt(7)

x =  -2 ±sqrt(7)

3 0
3 years ago
7cm = how many inches
Sindrei [870]
1 inch= 2.54 cm

Divide 7 by 2.54.

7/2.54= 2.75591

So, 7 cm is about 2.8 inches. (rounded up)

I hope this helps!
~kaikers
8 0
4 years ago
Martin sorted the bolts in his toolbox by size. They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches . What is
gizmo_the_mogwai [7]

Answer:

Length between the longest bolt and the shortest bolt is:

2.375 inch

If we laid one of each size bolt end to end , then the length of  row of bolts is:

5.125 inch

Step-by-step explanation:

We are given that:

Martin sorted the bolts in his toolbox by size.

They measured 3/8 inch, 1/2 inch,5/8 inch, 7/8 inch, and 1 1/4 inches

longest bolt=  11/4 inches    shortest bolt=3/8 inch

Difference between longest and shortest bolt=  \dfrac{11}{4} - \dfrac{3}{8}\\ \\=\dfrac{22-3}{8}\\ \\=\dfrac{19}{8}\\ \\= 2.375

Now, if we lay one of each size bolt end to end then, length of row will be:

  \dfrac{3}{8}+\dfrac{1}{2}+\dfrac{5}{8}+\dfrac{7}{8}+\dfrac{11}{4}

=41/8

= 5.125 inches

5 0
3 years ago
Read 2 more answers
A cylindrical tank holds 352 cu. ft. of water. The height of the tank is 7 ft. Find the
Rzqust [24]

Answer:

0.3334 ft

Step-by-step explanation:

Measure the height and radius of the tank. The radius is the distance from the center of the tank to its outer edge. Another way to find the radius is to divide the diameter, or width, by two. Square the radius by multiplying the radius times itself and then multiply it by 3.1416, which is the constant pi.

  1. Given height and volume: r = √(V / (π * h)),
  2. Given height and lateral area: r = A_l / (2 * π * h),
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  5. Given height and surface-area-to-volume ratio: r = 2 * h / (h * SA:V - 2),
  6. Given volume and lateral area: r = 2 * V / A_l,
  7. Given base area: r = √(A_b / (2 * π)),
  8. Given lateral area and total area: r = √((A - A_l) / (2 * π)).
4 0
3 years ago
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