Tan (60) = y/ 5
y = tan(60) * 5
and you know tan(60) = √3
so
y = 5√3
answer
5√3 (exact value)
Answer:
Perimeter = 16 units
Area = 15 squared units
Step-by-step explanation:
ABCD is a rectangle.
It's length l = 5 units
and width w = 3 units
Perimeter of ABCD = 2(l + w) = 2(5 + 3) = 2*8 = 16 units
Area of ABCD = 5*3 = 15 squared units.
Sure you do.
What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis ! So the x-intercept is the point where
5x + 3(0) = k
5x = k
<u>x = 0.2 k</u>
Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis ! So the y-intercept is the point where
5(0) + 3y = k
3y = k
<u>y = k/3</u>
The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
<u>k = 60.9375 </u>
The x-intercept is (0.2k, 0) = the point (12.1875, 0) .
The y-intercept is (0, k/3) = the point (0, 20.3125) .
Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?
Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.
(12.1875)² + (20.3125)² = the square of the distance.
If you don't get 23.688 for the distance, then check your arithmetic.
Answer:
A
Step-by-step explanation:
Arc length is r*(theta) = 1*(pi/4)=pi/4=0.785
Decimal to Fraction = 6 2/5
6.4 as a fraction = 32 /5
Percentage = 640%
Description =
The answer for this question will be 32 /5 because you asked that 6.4 as a fraction. If your asking to convert 6.4 to a fraction then the answer will be 6 2/5 in a mixed number.
Hope this helps.