MATHEMATICS HIGH SCHOOL

Multiply 2 1/2 x -4 3/5
Plz help

Answers

Answer 1
Answer: its -11.5 (or 1/2, you can write it like that too) if i'm not mistaken
Answer 2
Answer:

Answer:

Step-by-step explanation:

2 1/2* -4 3/5=

5/2*-23/5

-23/2 or -11 1/2

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Write the expression as the sine, cosine, or tangent of an angle.
sin 9x cos x - cos 9x sin x

Answers

Answer:

\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)      

Step-by-step explanation:

Given : Expression \sin (9x)\cos (x) - \cos 9(x) \sin (x)

To find : Write the expression as the sine, cosine, or tangent of an angle?

Solution :

We know the trigonometry property of additional,

\sin A\cos B-\cos A\sin B=\sin (A-B)

On comparing the expression with property,

A=9x and B=x

Substitute in formula,

\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (9x-x)

\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)

Therefore, The expression is written as the sine of an angle

\sin (9x)\cos (x) - \cos 9(x) \sin (x)=\sin (8x)
from sin(a-b) = sin(a)cos(b) - cos(a)sin(b)
let a=9x, b=x
sin(9x)cos(x) - cos(9x)sin(x) = sin(9x-x) = sin(8x)

9. 1/3(x+6) =815. 1/5(x+10)=6

20. 1/8(24x+32)=10

32. 5-1/2(x-6)=4

33.2/3(3x-6)=3

Answers

9.       ¹/₃(x + 6) = 8
    ¹/₃(x) + ¹/₃(6) = 8
           ¹/₃x + 2 = 8
                  - 2  - 2
            3 · ¹/₃x = 6 · 3
                     x = 18

15.       ¹/₅(x + 10) = 6
      ¹/₅(x) + ¹/₅(10) = 6
                ¹/₅x + 2 = 6
                       - 2  - 2
                 5 · ¹/₅x = 4 · 5
                         x = 20

20.       ¹/₈(24x + 32) = 10
      ¹/₈(24x) + ¹/₈(32) = 10
                     3x + 4 = 10
                           - 4   - 4
                           3x = 6
                            3     3
                             x = 2

32.        5 - ¹/₂(x - 6) = 4
      5 - ¹/₂(x) - ¹/₂(-6) = 4
              5 - ¹/₂x + 3 = 4
              5 + 3 - ¹/₂x = 4
                    8 - ¹/₂x = 4
                 - 8            - 8
                -2 · (-¹/₂x) = -4 · (-2)
                             x = 8

33.      ²/₃(3x - 6) = 3
     ²/₃(3x) - ²/₃(6) = 3
                2x - 4 = 3
                    + 4 + 4
                     2x = 7
                      2     2
                       x = 3¹/₂
9.
х+6=8÷1/3
х+6=8×3/1
х+6=24
х=24-6
х=18

15.
х+10=6÷1/5
х+10=6×5/1
х+10=30
х=30-10
х=20

20.
24х+32=10÷1/8
24х+32=10×8/1
24х+32=80
24х=80-32
24х=48
х=48÷24
х=2

For what values of k does the equation x^2 - (5k+1)x + 9k^2 = 0 have real roots?

Answers

K has a range from[ -1/11 to 1]
real roots occur when the determinant b^2-4ac >= 0

so substituting:-

(5k + 1)^2 - 4*1* (9k^2) >= 0
25k^2 + 10k + 1 - 36k^2 >= 0
-11k^2 +10k  + 1 >= 0
11k^2 - 10k - 1 <= 0
(11k + 1)(k - 1) <=  0

the equation will have real roots for  -1/11 =< k <= 1

Select the term for what a manufacture spends for goods and services A. cost B. price C. markup

Answers

cost is what manufactures spend for goods and services
Select the term for what a manufacture spends for goods and services  Answer  A. cost

A car travels 32 km due north andthen 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.

Answers

Answer:

73.2km

Step-by-step explanation:

first you have to decompose 46 km into y and x components.

x=sin40°*46km

x=0.64*46km

x=29.44km

y=cos40°*46km

y=0.76*46km

y=34.96

now you add the y components together

32+34.96=66.98

finally use Pythagorean thereom to find the resultant vector.

a*a+ b*b=c*c

66.98*66.98+29.44*29.44=c*c

c*c= 4486.3+866.7

c=√5353

c=73.2 km this is the approximate value

Find the measure of angle one…. PLEASE HELP!!!!!!

Answers

Answer:

Step-by-step explanation:

9x - 5 = 58

9x = 63

x = 7

<2 = 32°

7y + 27 + 58 + 32 = 180

7y + 117 = 180

7y = 63

y = 9

for <1: x + 58 = 180

       x = 122°
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