Which are equivalent to 5 – 3 × [10 × (6 – 2)]? check all that apply.

2 × [10 × (4)]
5 – 3 × [40]
2 × [40]
5 less than 3 times the product of 10 and the difference of 6 and 2
the difference of 5 and 3 times the product of 10 and the difference of 6 and 2

5 – 3 × [40]

The difference of 5 and 3 times the product of 10 and the difference of 6 and 2

Step-by-step explanation:

The given equation is 5 – 3 × [10 × (6 – 2)]

Simplifying this equation requires following the rules guiding the mathematical signs involved which include brackets, multiplication, product, subtraction.

In problems like this, we simplify the bracket or parentheses first. Simplifying the two brackets, [10 × (6 – 2)],

It becomes [10 ×4] = [40]

Next is to deal with the product sign outside the bracket. It becomes

-3 × [40]

Then we consider the 5.

So it is

5 -3 × [40]

the difference of 5 and 3 times the product of 10 and the difference of 6 and 2

This is the correct interpretation

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )

the value of x is 9 ⇒ answer b

step-by-step explanation:

* we can solve this problem using cosine and sine rule

- in δ abc

∵ ab = 36 , bc = 28 , ac = 16

- lets find the measure of angle b using the cosine rule

∵ cos b = [ab² + bc² - ac²]/2(ab)(bc)

∴ cos b = [36² + 28² - 16²]/2(36)(28)

∴ cos b = 19/21

∴ m∠b = cos^-1(19/21) ≅ 25°

- lets find the measure of angle a using the sine rule

∵ sina/bc = sinb/ac = sinc/ab

∴ sina/28 = sin25°/16 ⇒ by using cross multiplication

∴ sina = 28 × sin25°/16

∴ sina = 0.7396

∴ m∠a = sin^-1(0.7396) ≅ 48°

- from the figure m∠abd = m∠dbc

∵ m∠abc = 25°

∴ m∠abd = 25°/2 = 12.5°

- in δabd

∵ m∠a = 48° , m∠abd = 12.5°

∵ the sum of the measures of the interior angles of any δ is 180°

∴ m∠adb = 180° - (48° + 12.5°) = 119.5°

∵ ab = 36

∵ ad = x

- use the sine rule to find x

∵ sin∠adb/ab = sin∠abd/x

∴ sin119.5°/36 = sin12.5°/x ⇒ by using cross multiplication

∴ x = 36 × sin12.5°/sin119.5° = 8.95 ≅ 9

* the value of x is 9