Step-by-step explanation:
isolate x:
subtract 13 from both sides to get -2x < -4
divide both sides by -2 to get x > 2
(the sign changes direction because we divided by a negative)
because it's non inclusive (no equal to) we use an open circle arrow to point right starting from 2
Answer:
What is it?
Step-by-step explanation:
Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
We have
<em>v</em> = (-7, 9) - (4, 3) = (-7 - 4, 9 - 3) = (-11, 6)
which as a linear combination of the <em>i</em> and <em>j</em> unit vectors is
<em>v</em> = -11<em>i</em> + 6<em>j</em>
Answer:
angle LKJ = 49 degrees
Explanation:
Triangle JKL is a right-angled triangle. This means taht the special trigonometric functions can be applied.
These trig functions are:
sine θ = opposite side / hypotenuse
cos θ = adjacent side / hypotenuse
tan θ = opposite side / adjacent side
In the given:
θ is angle LKJ
the opposite side is LJ = 8.9 cm
the adjacent side is LK = 7.7 cm
using the tan of the angle:
tan (LKJ) = 8.9 / 7.7
angle LKJ = tan^-1 (8.9 / 7.7)
angle LKJ = 49.134 which is approximately 49 degrees
Hope this helps :)