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3 years ago

Use the image to the right for this question:

Mathematics

1 answer:

masya89 [10]3 years ago

7 0

Answer:

x=4

Step-by-step explanation:

Use SohCahToa

sin 45 = 7/h

h = 7sin45

use the calculater

h = 4.949747468 = 5

do it again for the next triangle

sin 55 = 5/x

x = 5sin55

use the calculater

x = 4.095760221 = 4

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For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

4 years ago

Fill in the blank

timurjin [86]

The blank space in the task content should be filled with; Wages.

<h3>What type of employee compensation is Wage?</h3>

A wage by it's primitive definition is a fixed regular payment usually paid on a daily or weekly basis by the employer to an employee which could be skilled or unskilled.

Commission, and salary which is a monthly analogue of wages is another form of employee compensation.

Read more on employee compensation;

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8 0

2 years ago

Solve the following system of equations by the substitution method.

Dahasolnce [82]

Answer:

Step-by-step explanation:

5x=y+6 --------- equ 1

2x-3y=4 -------- equ 2

5x - 6 = y

y = 5x - 6

substitute in equ 2

2x-3(5x - 6) =4

2x - 3*5x + 3*6 = 4

2x - 15x + 18 = 4

- 13x = 4 - 18

-13x = -14

x = -14/-13

x = 14/13

substitute in equ 1

5*14/13 = y+6

70/13 - 6 = y

y = ( 70 - 78)/13

y = -8/13

6 0

3 years ago

Please help! Need help asap!

Sedbober [7]

Answer:

Step-by-step explanation:

The two angles in the triangle in the question are 58 degrees and 54 degrees.

Three angles in a triangle add up to 180 degrees

58 + 54 + x = 180

112 + x = 180

subtract 112 on both sides

x = 180 - 112 = 68 degrees

Only option A has a triangle that has the same angles, thus triangles are similar.

please give thanks by clicking heart button! :)

6 0

3 years ago

What’s ratio less than 15/24?

Musya8 [376]

Answer:

the ratio less than 15/24 can be 1:2, 7:8

4 0

3 years ago