MATHEMATICS HIGH SCHOOL

Find the length of side a. Round to the nearest tenth.A) 12


B) 378.4


C) 18.3


D) 19.5
Find the length of side a. Round to the nearest - 1

Answers

Answer 1
Answer:

Answer:

  D)  19.5

Step-by-step explanation:

The law of cosines gives you the relation ...

  a² = b² + c² - 2bc·cos(A)

Substituting the given values, you have ...

  a² = 13² + 11² - 2·13·11·cos(108°) ≈ 378.379

  a ≈ √378.379 ≈ 19.452 . . . . take the square root

  a ≈ 19.5

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Solve for x.- 1 /2 (x + 5) = -10
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For what value of x would be the quotient (3x²+4x-5) ÷ (x+2) not make sense?

Answers

(3x^2+4x-5):(x+2)\n \ndo\ not\ divide\ by\ zero\ \ \ \Rightarrow\ \ \ (x+2) \neq 0\ \ \ \Leftrightarrow\ \ \ x \neq -2\n \nFor\ x=-2\ the\ quotient\ not\ make\ sense.

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answers

         m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
                  5x - 10 = 90
                      + 10  + 10
                         5x = 100
                          5      5
                           x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25
m∠A + m∠B = 90

(3x + 5) + (2x - 15) = 90

(3x + 2x) + (5 - 15) = 90

5x - 10 = 90

5x - 10 +10 = 90+10

5x = 100

5x/5 = 100/5      Divide \ both \ sides \ by \ 5

x = 20                 Solutions

m∠A = 3x + 5     (x=20)

m∠A = 3(20) + 5          Substitute \ x \ for \ 20

m∠A = 60 + 5               Simplify

m∠A = 65


m∠B = 2x - 15

m∠B = 2(20) - 15

m∠B = 40 - 15

m∠B = 25

Add. 2.60 3.56 3.82 5.116 5.16 6.16

Answers

2.60 + 3.56 = 6.16

6.16 + 3.82 = 9.98

9.98 + 5.116 = 15.096

15.096 + 5.16 = 20.256

20.256 + 6.16 = 26.416

The final answer is 26.416

Answer:

6.16

Step-by-step explanation:

What is the x-coordinate of the solution of the following system of equations?3x + y = 6
x - y = 6

a. -3
b. 0
c. 3

Answers

Answer:

The x-coordinate of of the solution of  system of equations is 3.

Option (c) is correct .

Step-by-step explanation:

As the system of equations are

3x + y = 6

x - y = 6

Now multiply x - y = 6 by 3 and subtrated from 3x + y = 6  .

3x - 3x + y + 3y = 6 - 18

4y = -12

y = (-12)/(4)

y = -3

Put in the x - y = 6

x - (-3) = 6

x + 3 = 6

x = 6 -3

x = 3

Therefore the x-coordinate of of the solution of  system of equations is 3.

Option (c) is correct .
c because x is equal to 3 

Which are the roots of the quadratic function f(b) = b2 – 75? Check all that apply.

Answers

f(b)=b^2-75\nf(b)=0\nb^2-75=0\nb^2=75\nb=\pm√(75)=\pm√(25*3)=\pm5√(3)

Answer:

The roots of the given quadratic function f(b) = b^2-75 is 5√(3)\quad and -5√(3)\quad  

Step-by-step explanation:

   Given: Quadratic function f(b) = b^2-75

We have to find the roots of the given quadratic function f(b) = b^2-75

Since, roots of the quadratic equation is the points where the value of function is zero.

That is f(x) = 0

Consider the given function  f(b) = b^2-75

Put f(b) = 0

\Rightarrow b^2-75=0

Simplify , we have,

\Rightarrow b^2=75

Taking square root both side, we have,

\Rightarrow b=√(75)

Simplify we have,

\Rightarrow b=\pm 5√(3)\quad

Thus, The roots of the given quadratic function f(b) = b^2-75 is 5√(3)\quad and -5√(3)\quad

Melinda's lights went out. She has 3 pairs of red socks in her drawer 2 pairs of black socks and 5 pairs of white socks . What Is the minimum number of pairs she must remove from the drawer to ensure that she has a pair of each color? a. 3
b. 5
c. 7
d. 9
e. 10

Answers

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Option B is the correct answer.

We have,

To ensure that Melinda has a pair of eachcolor, she needs to remove at least one sock from each color until she has one sock remaining from each color.

Since she has 3 pairs of red socks, 2 pairs of black socks, and 5 pairs of white socks, the minimumnumber of pairs she must remove is the maximum of these numbers.

The maximum among 3, 2, and 5 is 5.

Therefore,

Melinda must removeatleast 5 pairs of socks to ensure that she has a pair of each color.

Learn more about expressions here:

brainly.com/question/3118662

#SPJ2
The answer would be D because she cant be assured that she gets one of each pair if she grabs less.
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