In triangle ABC, a = 8, b = 6, and C = 60°. Find the measure of A. 16° 46° 74° 106°

Answers

Answer 1
Answer: cos~C= (a^2+b^2-c^2)/(2ab)  \Leftrightarrow  (1)/(2)= (64+36-c ^(2) )/(2*48) \Rightarrow    100-c^2=48 \Rightarrow  c^(2)=52 \Rightarrow  \n  c=2 √(13).~~~~~(Cosinus~formula)  \n  \n cos~A= (b^2+c^2-a^2)/(2bc)= (36+52-64)/(24 √(13) )  = (24)/(24 √(13) )= ( √(13) )/(13). \n  \n cos~A= ( √(13) )/(13)  \Rightarrow m(\ \textless \ A) =74 \textdegree.

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Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Answers

Hi There! :)

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

x = log 64 / log 4

V^2+3v-5=0
Round to nearest hundredth

Answers

v² + 3v - 5 = 0
v = -(3) ± √((3)² - 4(1)(-5))
                    2(1)
v = -3 ± √(9 + 20)
                2
v = -3 ± √(29)
            2
v = -3 ± 5.38
            2
v = -1.5 ± 2.69
v = -1.5 + 2.69    or    v = -1.5 - 2.69
v = 1.19    or    v = -3.19

Please solve the following simultaneous equation:
4x-3y=15
8x^2-27y^2=45

Answers

{ 4 x - 3y = 15
  8 x² - 27 y² =45

Isolate y for 4 x - 3y = 15

4 x - 3y = 15 ( add 3y to both sides ):

4x-3y +3y = 15 + 3y

4x =  15 + 3y

Divide both sides by 4 :

4x / 4 = 15 + 3y / 4

x = 15+3y / 4

Plug  the solutions x = 15+3y / 4 into : 8 x² - 27 y²=45

8 ( 15+3y / 4 )² - 27 y² = 45

1/2 ( 3y+15)² - 27 y² = 45

Multiply  by LCD = 2

9 ( y+5)² - 54 y² = 90

-45 y² +  90 y  + 225 = 90

- 45 y² + 90 y = 225 - 90

-45 y² + 90 y = 135 = 0

-45 ( y + 1 ) ( y - 3 ) = 0

Using the zero factor principle:

Solve ( y + 1 ) = 0

y = - 1

Solve ( y - 3 ) = 0

y = 3

y = -1 and y = 3

Plug the solution y = -1 , y = 3 into : 4 x - 3 y = 15

4 x - 3 y =  15  for - 1 : 

4 x - 3 ( - 1 ) = 15

4 x + 3 = 15

4 x = 15 - 3

4 x = 12

x = 12 / 4

x = 3

For 3 :

4 x - 3 y  = 15

4 x - 3 ( 3 ) = 15

4 x - 9 = 15

4 x = 15 + 9

4 x = 24

x = 24 / 4

x = 6

Therefore the final solution :

y = 3 ,  x = 6
y = - 1 , x  = 3

hope this helps!






Instructions:Select the correct answer from each drop-down menu.Jeremy is shopping online for skating equipment. He buys a long board complete with trucks and wheels for $146.25. At checkout, Jeremy gets a discount of $21 on his purchase. The final amount that Jeremy will be billed is $_____.

A.) 42.00
B.) 104.25
C.) 125.25
D.) 167.25

Answers

 146.25
-  21.00
-----------
125.25

answer is C.

Help ASAP!!!!Select all expressions that are perfect squares.

Group of answer choices

2x^2+20x+100

9x^2+24x+16

(7−3x)^2

(5x+4)(5x−4)

(1−2x)(−2x+1)

4^2+6+9/4

Answers

The expressions that are perfect squares are:

2x² + 20x + 100

9x² + 24x + 16

(7 - 3x)²

To determine which expressions are perfect squares, we need to check if they can be written in the form of (a + b)², where a and b are real numbers.

Let's go through each expression:

2x² + 20x + 100:

This expression can be factored as (x + 10)², so it is a perfect square.

9x² + 24x + 16:

This expression can be factored as (3x + 4)², so it is a perfect square.

(7 - 3x)²:

This expression is already in the form (a - b)², so it is a perfect square.

(5x + 4)(5x - 4):

This is the difference of squares, not a perfect square itself.

(1 - 2x)(-2x + 1):

This is the difference of squares, not a perfect square itself.

4² + 6 + 9/4:

Simplifying, we get 16 + 6 + 9/4 = 22 + 9/4.

This expression is not a perfect square.

To learn more on Expressions click:

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Answer:

2x^2+20x+100, 9x^2+24x+16, (1−2x)(−2x+1), (5x+4)(5x−4),  (7−3x)^2

What is the value of y in the equation 4(5y –8 –2) = 185 –15?

Answers

In an equation the Left hand side must equal the right hand side 4(5y-8-2)=185-15 20y-32-8=170 20y=170+32+8 20y=210 Therefore y=10,5 When you substitute the 10,5 and solve it on the left and side it's equal to 170 which is the answer on the right hand side

Answer: 10.5

Step-by-step explanation:

I know this cause I'm smart lol