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
Mamont248 [21]
3 years ago
12

Pls help Given: △ABC, CM⊥ AB, BC = 5, AB = 7 CA = 4 sqrt(2) Find: CM

Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

The general plan is to find BM and from that CM. You need 2 equations to do that.

Step One

Set up the two equations.

(7 - BM)^2 + CM^2 = (4*sqrt(2) ) ^ 2 = 32

BM^2 + CM^2 = 5^2 = 25

Step Two

Subtract the two equations.

(7 - BM)^2 + CM^2  = 32

BM^2 + CM^2         = 25

(7 - BM)^2 - BM^2 = 7               (3)

Step three

Expand the left side of the new equation labeled (3)

49 - 14BM + BM^2 - BM^2 = 7    

Step 4

Simplify And Solve

49 - 14BM = 7              Subtract 49 from both sides.

-49 - 14BM = 7 - 49

- 14BM = - 42              Divide by - 14

BM = -42 / - 14

BM = 3

Step  Five

Find CM

CM^2 + BM^2 = 5^2

CM^2 + 3^2 = 5^2        Subtract 3^2 from both sides.

CM^2 = 25 - 9            

CM^2 = 16                     Take the square root of both sides.        

sqrt(CM^2) = sqrt(16)

CM = 4    < Answer

Step-by-step explanation:

You might be interested in
A tiny alien is standing at the top of the Eiffel Tower (which is 324 meters tall) and threatening to destroy the city of Paris!
CaHeK987 [17]
An 80° angle should be used to shoot the weapon. If you want to precise then it would be an 80.5376° angle. Hope this helps!
8 0
4 years ago
Read 2 more answers
Step by step solution
nasty-shy [4]

Answer:

b is correct answer

Step-by-step explanation:

when we write logarithmic terms we change the result from number which is power of 3

8 0
3 years ago
Evaluate 3x+4 for the given values of x
galina1969 [7]

Answer:

b) 3(9) + 4 = 36 + 4 = 40

c) 3(0) + 4 = 0 + 4 = 4

d) 3(-3) + 4 = -9 + 4 = -5

e) 3(8) + 4 = 24 + 4 = 28

6 0
3 years ago
Please help on this question?
den301095 [7]

Hi there,

θ = 180º + the angle of the right-angled triangle.

For finding the angle we know that the opposite side measures 6 units and the adjacent side measures 8 units. So, the hypotenuse is 10 units.

If we want to find the angle of the right-angled triangle we have to use the following equation.

sin(the angle of the right-angled triangle) = \frac{6}{10}

⇒ the angle of the right-angled triangle = sin^{-1}(\frac{6}{10}) ≈ 36,87º

So,

θ = 180º + the angle of the right-angled triangle

θ ≈ 180º + 36,87º

θ ≈ 216,87º

sin(θ) = sin(216,87º)

sin(θ) = \frac{-6}{10}

sin(θ) = \frac{-3}{5}

If you want to do it using properties:

θ = 180º + |the angle of the right-angled triangle|

⇒ sin(θ) = sin(180º + |the angle of the right-angled triangle|)

Using properties:

⇒ sin(θ) = sin(180º)*cos( |the angle of the right-angled triangle|) + cos(180º)*sin(|the angle of the right-angled triangle|)

Sin (180) = 0

⇒ sin(θ) = cos(180º)*sin(|the angle of the right-angled triangle|)

sin(the angle of the right-angled triangle) = -\frac{6}{10}

And cos(180º) = -1

⇒ sin(θ) = -1* \frac{6}{10}

⇒ sin(θ) = \frac{-6}{10}

⇒ sin(θ) = \frac{-3}{5}

8 0
3 years ago
Simplify by dividing (-3/8) -5/9
Elodia [21]

Answer:

\frac{-27}{40}

Step-by-step explanation:

(\frac{-3}{8})÷\frac{5}{9}

\frac{-3}{8}×\frac{9}{5}

\frac{-27}{40}

6 0
3 years ago
Other questions:
  • The function f(x)f(x) is a quartic function and the zeros of f(x)f(x) are -6−6, -5−5, -2−2 and 11. Assume the leading coefficien
    7·1 answer
  • What is the average rate of change from x=-1 to x=1
    11·2 answers
  • Consider the force field and circle defined below.
    14·1 answer
  • The length of each arc
    9·1 answer
  • Which line best represents the line of best fit for this scatter plot?
    10·1 answer
  • What is the ratio for 4, 8, 12, 14 (r)
    6·1 answer
  • Jen buys paints for 28.42 how much will she get back if she gave 50
    12·2 answers
  • What does "a" equal in this problem? 8= 2^a
    12·1 answer
  • A tractor, starting from a stationary position, drives down the road. It accelerates at 4 m/s2 for 10 seconds, then travels at a
    7·1 answer
  • PLS HELP ME UNDERSTAND THIS
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!