A: 5. 2
B: 8. 4
C: 4. 7
D: 7. 8​

Step-by-step explanation:

Ah...right triangle trig. Gotta love this stuff (you better, because it never goes away!). We need to remember SohCahToa which tells us that the sin of an angle is equal to the side opposite the angle over the hypotenuse; the cos of an angle is equal to the side adjacent to the angle over the hypotenuse; the tan of an angle is equal to the side opposite the angle over the side adjacent the angle. x is the side across from our given angle, while 7 is the side adjacent. That means that we will use the tangent ratio to solve.

and filling in:

. Solving for x:

7tan(48) = x. Do this on your calculator in DEGREE mode (NOT radians!) to get that x = 7.77 which rounds nicely to D: 7.8

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)