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
Kay [80]
3 years ago
13

In ΔLMN, the measure of ∠N=90°, the measure of ∠M=17°, and MN = 20 feet. Find the length of LM to the nearest tenth of a foot.

Mathematics
2 answers:
astra-53 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

70

andrey2020 [161]3 years ago
3 0
20.9 ft
This is a right triangle trigonometry question because N is 90 degrees. MN is adjacent to M and LM is the hypotenuse. Adjacent any hypotenuse use the cosine function. 
cos \theta = \frac{adj}{hyp}
plug in known values
cos(17) = \frac{20}{x}
switch cos(20) and x using the products property
x = \frac{20}{cos(17)}
plug into calculator to get 20.9 ft

You might be interested in
Help me plz thank you
nevsk [136]

Answer:

1) Distance=Speed*time

90=(x+1)*(x)+(2x+5)(x-1)

90=x^2+x+2x^2-2x+5x-5

3x^2+4x-95=0

2) 3x^2+4x-95=0. Using quadratic formula, we get

x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.

3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours

4 0
2 years ago
A had $360 more than B. When A spent $144 and B spent half of his money, A had 6 times as much money as B, Find the ratio of the
Karolina [17]

Answer:

13:3

Step-by-step explanation:

A=x B=y

first; x= 360+y

later;x= 216+y

A:B

216+y: 1/2y = 6: 1

216+y/y÷2 =6/1

216+y = 3y

y = 108

first; x =360+y

360 +108

468

A:B = 468:108

13:3

3 0
3 years ago
Jndxihdhwquihxois2njknz'oqwjskzlnzljx
alekssr [168]

Answer:gchvbunonion

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
which property is illustrated by the equation below (r+s)+t=r+(s+t). A)Associative B)Commutative C)Distributive D)Identity
Lera25 [3.4K]
The associative property of addition is being demonstrated here. The parenthesis are moved around to "associate" or "group" the values into two different pairs.

Note: the associative property of multiplication is very similar and it is
a*(b*c) = (a*b)*c<span />
4 0
3 years ago
3x - 2y = -18 use the table of vaules to graph the line
docker41 [41]

Answer:

Given the equation of line :  3x -2y = -18

Table values:

x                  y

0                  9

2                  12

4                   15

6                   18

-6                  0

Now, plot these points (0,9), (2, 12), (4, 15) , (6, 18) and (-6, 0) on the co-ordinate planer, to graph the the line.

You can see the graph of the given equation as shown below.                  

3 0
3 years ago
Other questions:
  • During the 2005 football​ season, Team Tackle beat Team Sack by
    14·1 answer
  • When introduced in 1997, a DVD player sold for about $500. Five years later, the average price was $155. Find and interpret the
    11·1 answer
  • Which represents the inverse of the function f(x) = 4x?
    7·1 answer
  • Consider the helix r(t)=⟨cos(7t),sin(7t),−1t⟩. Compute, at t=π6:
    9·2 answers
  • You deposited $475 into the bank at a 6% interest rate. How much will be in the account after three years
    11·1 answer
  • What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
    11·1 answer
  • Which equation has infinitely many solutions?
    5·2 answers
  • Please help equation: x=16-4y
    5·1 answer
  • Shara is building a birdhouse. She cuts a 6-foot-long board into sections that are each 1/3 foot long. How many sections of the
    8·1 answer
  • The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-fiber breakfast cereals. Find the eq
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!