1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
2 years ago
7

Lisa and Molly are on a bridge and see a tree sticking out of the water. Use the diagram to determine how far away Lisa is from

the tree in the water. Use appropriate units.

Mathematics
1 answer:
Oxana [17]2 years ago
6 0

Answer:

26.5 ft

Step-by-step explanation:

Let the point of the tree sticking out water be represented as S.

Thus, we have ∆LMS.

How far Lisa is from the tree in the water = \overline{LS}

Using Sine Rule, find \overline{LS}

\frac{\overline{LS}}{sin(M)} = \frac{\overline{MS}}{sin(L)}

\overline{LS} = x

\overline{MS} = 22 ft

\angle M = 103

\angle L = 54

Plug in the values into the equation

Thus:

\frac{x}{sin(103)} = \frac{22}{sin(54)}

Multiply both sides by sin(103)

\frac{x}{sin(103)}*sin(103) = \frac{22}{sin(54)}*sin(103)

x = \frac{22*sin(103)}{sin(54)}

x = 26.5 ft (nearest tenth)

✅Lisa is 26.5 ft far away from the tree in the water.

You might be interested in
2850
maxonik [38]
God bless you ma’am/ sir.!!!!-8hsiwhwhjwiwis&/&):8292jwiaiia21161
4 0
2 years ago
4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t
Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

a_{n}=a_{1}r^{n-1}

a_{1} = the first term of the series

r = the geometric ratio

a_{1} would represent the height at which the ball is first dropped. Therefore:

a_{1} = k

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

r=\frac{3}{4}

Our general term would be:

a_{n}=a_{1}r^{n-1}

a_{n}=k(\frac{3}{4}) ^{n-1}

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

k represents the initial height:

k = 235\ ft

n represents the number of times the ball bounces:

n = 6

Plugging this back into our general term of the geometric series:

a_{n}=k(\frac{3}{4}) ^{n-1}

a_{n}=235(\frac{3}{4}) ^{6-1}

a_{n}=235(\frac{3}{4}) ^{5}

a_{n}=55.8\ ft

a_{n} represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. ​

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

S_{n}=\frac{a_{1}(1-r^{n})}{1-r}

We already know these variables:

a_{1}= k = 235\ ft

r=\frac{3}{4}

n = 12

Therefore:

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }

S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }

S_{n}=(4)(235)(1-\frac{3}{4} ^{12})

S_{n}=910.22\ ft

8 0
2 years ago
15% out of 365 days, about how many days can residents predict rain?
Liula [17]
54 days!!!!!!!!!!!!!!!!!!!!!!!!!!!1
5 0
3 years ago
Read 2 more answers
Lewis needs 1/8 quart of paint to cover 10 square yards. How many square yards can he paint with 4 quarts of paint?
nalin [4]

Answer:

Lewis can paint 320 square yards.

Step-by-step explanation:

1 quart covers 80 square yards

8 x 10=80

4 quarts covers 320 square yards

80 x 4=320

4 0
2 years ago
Max has 3 textbooks and 2
Eduardwww [97]
1 Backpack + 3 Textbooks + 2 Notebooks = 10.5 pounds
His Backpack Weighs 2.5 pounds
3 0
3 years ago
Other questions:
  • Which function represents the graph of f(s)=-4[x] after it is translated 3 units down?
    9·1 answer
  • Which sentences contain two words that are related in the same way as the underlined words in the paragraph?
    6·1 answer
  • Please help me idk this
    11·1 answer
  • Last month, when Joe took his puppy to the veterinarian, the puppy weighed 4.6 pounds. This month, the puppy weighed 5.98 pounds
    12·1 answer
  • if it is cloudy on a given day it is 40% likely to rain. in general the chance of clouds on any given day is 50%. The probabilit
    12·1 answer
  • Write the equation of a line through points (5, 5) and (1, 0) in point-slope form
    12·1 answer
  • -2+n=-8(1-8n)+6 solve for n.
    11·1 answer
  • Let f(x) = Square root x. Find g(x), the function that is f(x) shifted up 7 units and left 1 units.
    12·1 answer
  • CAN SOMEONE PLEASE HELP, ILL GIVE BRAINLIEST.
    9·1 answer
  • The volume V of a cone varies jointly as the area of the base B and the height
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!