Answer:
The circumference is 9 or approximately 28.26 inches.
Step-by-step explanation:
To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).
Answer:
Step-by-step explanation:
<em>See attached diagram (not to scale). </em>
<em>All given details reflected.</em>
a) <u>Find the measure of XZ using the law of cosines:</u>
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) <u>Now using the law of sines find the measure of angle X:</u>
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
<u>The bearing of Z from X is:</u>
There's no solution, as the shaded areas don't overlap
Answer: a = 0
Step-by-step explanation:
ok we got
. Our task is to choose a value for
so that "the tangent line to
at
passes through
."
Well
, and
. So our tangent line looks like this:
![y - 3 = (4 + a)(x - 1)](https://tex.z-dn.net/?f=y%20-%203%20%3D%20%284%20%2B%20a%29%28x%20-%201%29)
![y = 4x + ax - a - 1](https://tex.z-dn.net/?f=y%20%3D%204x%20%2B%20ax%20-%20a%20-%201)
We know this must contain the point
, so
![2a + 7 = 4(2) + a(2) - a - 1](https://tex.z-dn.net/?f=2a%20%2B%207%20%3D%204%282%29%20%2B%20a%282%29%20-%20a%20-%201)
![a = 8 - 7 - 1\\\\\boxed{a = 0}](https://tex.z-dn.net/?f=a%20%3D%208%20-%207%20-%201%5C%5C%5C%5C%5Cboxed%7Ba%20%3D%200%7D)
16 * 3 = 48
and
16 + 3 = 19