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marusya05 [52]
3 years ago
13

Find m PLEASE HELP 10 POINTS!!

Mathematics
2 answers:
artcher [175]3 years ago
8 0
Use the cos rule

cos^-1(18^2+28^2-12^2 divided by 2*18*28

Which is 16.99 degrees, which is 17 (option d)
Iteru [2.4K]3 years ago
6 0

Answer:

<em>(D). 17 in.</em>

Step-by-step explanation:

c² = a² + b² - 2abcosC

cosC = \frac{a^2 + b^2 -c^2}{2ab}

m∠C = cos^{-1} ( \frac{a^2 + b^2 -c^2}{2ab} )

m∠C = cos^{-1} ( \frac{28^2 +18^2 -12^2 }{2(28)(18)} )

<em>m∠C </em>= cos^{-1} ( \frac{964}{1008} ) ≈<em> 17 in.</em>

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PLZ I NEED ANSWERS NOW!!!! {(-1, 2), (0, 2), (5, 2)} is a function. TrueFalse
KIM [24]

Answer:

True

Step-by-step explanation:

every x only has one y

7 0
2 years ago
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
3 years ago
Read 2 more answers
Solve this by substitution
frozen [14]

Answer:

y= 1 and x=-2

Step-by-step explanation:

Since they both equal y, you can equal them to each other:

x + 3 = 2x + 5

Then solve:

x - x + 3 = 2x - x + 5

3 - 5 = x + 5 - 5

-2 = x

Substitute x in either equation to solve for y:

y = (-2) +3

y = 1

Or the other equation:

y = 2(-2) + 5

y = -4 + 5

y = 1

hope this helps :)

6 0
3 years ago
I NEED HELP PEOPLE!!!! WILL GIVE BRAINLIEST!!!!
Sauron [17]

Answer:

L(2,4)   M(3,1)   N(0,4)

Step-by-step explanation:

6 0
3 years ago
Each hour hanna is able to run 4 kilometers. If she has already run 2 kilometers, what will her total distance be after 8 hours?
Vlada [557]

Answer:

34km

Step-by-step explanation:

8 0
3 years ago
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