Answer:
Bro
Step-by-step explanation:
No
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
Answer:
A
Step-by-step explanation:
To find the angle inside the triangle (to the right side of 90 degree angle), we first have to find the adjacent angle (below it).
Angle 122 and that adjacent angle is same (parallel lines cut by transversal -- they are corresponding angles).
So that angle is 122.
The inside triangle angle (what we want) is adjacent to 122, so we can write:
Angle + 122 = 180 [straight angle/straight line is 180 degrees]
Solving for that angle, we have:
Angle = 180 - 122 = 58
Now, looking at the triangle, Side C is "opposite" of 58° and side "20" is the side that is "hypotenuse" [side opposite of 90 degree angle is hypotenuse).
<em>Which trig ratio relates "opposite" and "hypotenuse"??</em>
<em>Yes, it is SIN. Thus we can write:</em>
<em>
</em>
<em />
<em>We can now solve for C:</em>
<em>
</em>
<em />
<em>Correct answer is A</em>
Answer:
Only one because even if you tried to put a length different each time, it will only stay the same shape, it never changes.
<h3>Given</h3>
regular polygons with 5, 16, and 12 sides
<h3>Find</h3>
the measures of each interior and exterior angle
<h3>Solution</h3>
The sum of exterior angles is 360° for any convex polygon. For a regular n-agon, the measure of an exterior angle is 360°/n. The corresponding interior angle is its supplement.
(a) pentagon. Exterior angle: 72°; Interior angle: 108°.
(b) 16-gon. Exterior angle: 22.5°; Interior angle: 157.5°.
(c) dodecagon. Exterior angle: 30°; Interior angle: 150°.
