Answer:
Step-by-step explanation:
<u>Right Triangle</u>
The figure shows a right triangle with angles 2 and 3 unknown.
The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:
The measures of both angles are expressed as functions of x. Substituting their values:
x+8 + 2x + 7 = 90
Simplifying:
3x + 15 = 90
Operating:
3x = 90 - 15 = 75
Solving:
x = 75 / 3 = 25
x = 25°
Now, the measure of angle 2=x+8 = 33°
Answer:
x^2+11x+10
or
(x+1)(x+10) since you can factor x^2+11x+10
Step-by-step explanation:
Let's do synthetic division.
We are dividing by x+2, so -2 will be on the outside. Like this:
-2 | 1 13 32 20
| -2 -22 -20
|___________________________
1 11 10 0
The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.
The other factor we found by doing this is (x^2+11x+10).
You can find more factors by factoring x^2+11x+10.
Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).
The surface area of the pyramid will be given as follows:
Area of triangles:
A=1/2×base×height
A=1/2×12×18
A=108 m²
Area of 6 triangles is given by:
A=108×6=648 m²
Area of the hexagon:
A=6×1/2×12×6√3
A=374.123m²
Total surface area:
SA=648+374.123
SA=1022.123 m²~1022 m²
Answer: C] 1022 m²
Speed= distance/time.
6.4/4.
1.6 meters per minute.
I did not catch well, but i think you already got your answers. Let me explain. For the first part you got your notation right: for 0.0045 the correct scientific notation is 4.5 x 10^-3. Now the second part, the answer would be the first one, the notation that you are giving is the one who corresponds to <span>4.5 x 10^-2, the first option you have. Hope it helps</span>
