Answer:
It gives you 28 different 10-digit numbers
Step-by-step explanation:
The leftmost position digit can not be 0 --- hence, it is 1, since there is no other possibilities.
The rightmost position (the "ones" position) must be 0 to provide an even number.
Hence, you have 8 remaining positions to fill with six ones and two zeros by an arbitrary way.
You can place two digits of zero among 8 positions by 
= 
different ways = 4*7 = 28 different ways,
Answer:
In the first equation, it's H20 but the second is B
2Mg + 2O2
Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
16m^4 - n^4
= (4m^2 + n^2)(4m^2 - n^2)
= (4m^2 + n^2) (2m + n)(2m - n)
Answer:
They are congruent, they are right angles
Step-by-step explanation:
Just in general, all vertical angles are congruent.
But in this situation, perpendicular lines will always create right angles.
