The ordered pair that describes the origin is (0, 0).
That's because x=0 and y=0 at the origin.
Solve:
We need to isolate k, so multiply both sides by the denominator, which is 64. When we do that, the fraction will cancel and we get:
If you want to check, plug in your answer to the original equation and see if it is true:
This statement is true, so .
<em>Answer:</em>
<em>C = 12.88</em>
<em>Step-by-step explanation:</em>
<em>If the radius of the circle is 4 cm, then the diameter of the circle is 4 cm x 2, or 8 cm. If you know the circumference of the circle, divide it by </em><em>π</em><em> to get the diameter.</em>
<em>C = π d = π · 4.1 = </em><em>12.88</em><em>053cm </em>
Glad to help ya!!
3rd option.
at least shows that the number can be equal to 2, and also that 2 should be the smallest possible value of the number.
We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.
11.
Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.
tan B = b/a
b = a tan B = 65.7 tan 28.9° = 36.3 m
12.
Similar story, boat at B, opposite b=3.5 m, rope c=12 m
sin B = b/c
B = arcsin b/c = arcsin (3.5/12) = 17.0°
13.
c=124 m, A=58°
sin A = a/c
a = c sin A = 124 sin 58 = 105.2 m
14.
That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so
cos A = b/c
A = arccos b/c = arccos (1.8/2.8) = 50.0°
15.
Not a right triangle, an isosceles triangle. Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°. We're after d=2b:
sin B = b/c
b = c sin B
d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm
Almost equilateral
