we have that
(r, ∅)----------> (-7, 5 pi/3)
we know that
5 pi/3--------> 300°-----------> -60°
To convert polar cordinates in rectangular one with use the following formula:
x=r*cos ∅------> x=-7*cos -60°-------> x=-7*(1/2)------> x=-7/2
y=r*sin ∅-------> y=-7*sin -60-------> y=-7*(-√3)/2----> y=7√3/2
the answer is the option
D) ordered pair negative 7 divided by 2 comma 7 square root 3 divided by 2
Answer:
add 99 to 6790
Step-by-step explanation:
6790 +99 = 6889 which is 83 squared
Step-by-step explanation:
I think you mean triangle XYZ. and angle XYZ.
so, the angle at Y is 90°.
that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.
so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :
13² = 12² + YZ²
169 = 144 + YZ²
25 = YZ²
YZ = 5 cm
just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :
area = 12 × 5 / 2 = 60/2 = 30 cm²
correct, it fits.
It helps to think of a simpler problem. Let's say mpg is 20 and 10% higher on a smooth road.
How many miles will you get with one gallon on a regular road?
How many more miles will you get on a smooth road? 10% more, right? How much is that?
OK - so you've now solved a simpler problem. Use the exact some process to solve your, more complicated, problem.