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
Pavlova-9 [17]
3 years ago
6

Given right triangle MNL what is the value of cos(M)?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

Step 1

<u>Find the length of the side MN</u>

we know that

Applying the Pythagorean Theorem

ML^{2} =NL^{2} +MN^{2}

Solve for MN

MN^{2}=ML^{2} -NL^{2}

in this problem

ML=25\ units\\ NL=15\ units

Substitute in the formula above

MN^{2}=25^{2} -15^{2}

MN^{2}=400

MN=20\ units

Step 2

<u>Find the value of cos (M)</u>

we know that

in the right triangle MNL

cos (M)=\frac{adjacent\ side\ angle\ M}{hypotenuse}

adjacent\ side\ angle\ M=MN=20\ units\\ hypotenuse=ML=25\ units

Substitute

cos (M)=\frac{20}{25}

cos (M)=\frac{4}{5}

cos (M)=0.8

therefore

The answer is

The value of cos(M) is equal to 0.8


You might be interested in
In the diagram, polygon ABCD is flipped over a line of reflection to make a polygon with vertices at A′, B′, C′, and D′. Points
Hunter-Best [27]
<span>when flipped over a line of reflection the lengths are still the same the point to the line of reflection is the same length as the line of reflection to the reflected position the distance from the original point to the reflected point is twice the distance from the original point to the line of reflection. </span>
8 0
2 years ago
Read 2 more answers
Find the measure of the the sides of DEF then classify it by it sides. <br> D(8,-6) E(-1,-3) F(-2,5)
Mama L [17]

Answer:

Part a) The measure of the sides of triangle DEF are

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

Part b) Is a scalene triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have the coordinates

D(8,-6) E(-1,-3) F(-2,5)

step 1

Find the length side DE

D(8,-6) E(-1,-3)

substitute in the formula

d=\sqrt{(-3+6)^{2}+(-1-8)^{2}}

d=\sqrt{(3)^{2}+(9)^{2}}

d_D_E=\sqrt{90}\ units

step 2

Find the length side EF

E(-1,-3) F(-2,5)

substitute in the formula

d=\sqrt{(5+3)^{2}+(-2+1)^{2}}

d=\sqrt{(8)^{2}+(-1)^{2}}

d_E_F=\sqrt{65}\ units

step 3

Find the length side DF

D(8,-6) F(-2,5)

substitute in the formula

d=\sqrt{(5+6)^{2}+(-2-8)^{2}}

d=\sqrt{(11)^{2}+(-10)^{2}}

d_D_F=\sqrt{221}\ units

step 4

Classify the triangle by the measure of its sides

we have

d_D_E=\sqrt{90}\ units

d_E_F=\sqrt{65}\ units

d_D_F=\sqrt{221}\ units

so

Is a scalene triangle, because is a triangle in which all three sides have different lengths.

6 0
3 years ago
Find the lateral area of the right triangular prism below.<br> 5 in, 12 in, 13 in
labwork [276]

Step-by-step explanation:

YOUR WELCOME

6 0
3 years ago
3y = -x-3 <br> 2y-14 = 4x<br> 4x-3-y = 0<br> x-12 = -3
geniusboy [140]

x=-3 y=0 probably wrong but it’s the root of at least one of these

5 0
3 years ago
I need this Please help me
ANEK [815]

9514 1404 393

Answer:

  (c)  Not parallel: corresponding angles are not congruent

Step-by-step explanation:

The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.

4 0
3 years ago
Other questions:
  • Which inequality does this graph represent?
    10·1 answer
  • Find the value of x so that the function has the given value.<br><br> j(x)=−4/5x+7; j(x)=−5
    13·1 answer
  • Skylar's grades on four math tests are 85, 78, 77, and 69. What does Skylar need to score on the next test in order to have a me
    12·1 answer
  • The data in the table below for my function. What values in the table would change the relation to NOT be a function?
    13·1 answer
  • What are the solutions to the equation<br><br>x^2+14x=-130<br><br>please do a step by step
    10·1 answer
  • (25x - 15)°<br> What is the value of x
    6·2 answers
  • 19. A cylinder with a radius of 0.28 m and
    13·2 answers
  • Need help plz help plz
    11·1 answer
  • EVALUATE THE FOLLOWING   -15 x 6​
    7·1 answer
  • A square has an area of 369.01m squared number.work out the perimeter of the square.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!