Answer:
x=5 x=6
Step-by-step explanation:
x^2 - 8x + 30 = 3x
Subtract 3x from each side
x^2 - 8x-3x + 30 = 3x-3x
x^2 - 11x + 30 = 0
What 2 numbers multiply to 30 and add to -11
-5*-6 = 30
-5+-6 = -11
(x-5) (x-6) =0
Using the zero product property
x-5 = 0 and x-6 =0
x-5+5 =0+5 and x-6+6 =0+6
x=5 x=6
The correct answer is 120 degrees.
With the bigger triangle you can add all of the angles to get 60 degrees. (35+25)
This leaves you with a 120 degrees angle in the unmarked corner of the triangle. Any horizontal line and any triangle is 180 in total.
So with a 120 degree angle in the corner this leaves us with a 60 angle in the smaller triangle. ( The smaller triangle equals 60 degrees in all corners, it is equalateral ).
X is on a horizontal line and we now know that the one side of the line equals 60 degrees and any horizontal line equals 180 in total, this means that the measure of X is 120, (60+120)
X is 120 :)
Answer:
A, B, E, and F
Step-by-step explanation:
sinx and cosx are defined for all values of x. So, sin⁻¹x and cos⁻¹x are also defined for all values of x.
A and E are correct.
tanx is defined for all values of x.
However, tan(nπ) = 0 at when n is an integer. So, tan⁻¹(±nx) is undefined. However, tan⁻¹(-½x) is defined, because -½ is not an integer.
B and F are correct.
C and D are <em>wrong</em>. Both sec⁻¹x and csc⁻¹x are undefined when -1 < x < 1, and -½ is in this forbidden region.
Answer:
first one is 5.8
second on is 4.47 round
third one is 1.92
Step-by-step explanation:
Answer:
90 cubes.
Step-by-step explanation:
First we find volume of the cuboid.
Volume = l x b x h = 20 x 18 x 16 = 5760 cm³
Now,
Volume of a single cube = l³ = 4³ = 64
No of cubes that can be cut out from the cuboid is
= Volume of cuboid/ volume of cube
= 5760/ 64
= 90 cubes
