Answer:
csc (- Ф) = -29/20
Step-by-step explanation:
We know that:
csc Ф = 1/ sinФ ................. equation 1
csc (- Ф) = - csc Ф .............equation 2
Given that:
sin Ф = 20/29
Using equation 1:
csc Ф = 1/ (20/29)
csc Ф = 29/20
using equation 2:
csc (-Ф) = - csc Ф = -29/20
I hope it will help you!
Answer:
Step-by-step explanation:
From the figure attached,
Point B has been dilated to form point B'.
B(3, 1) → B'(6, 2)
→ B'[(2 × 3), (2 × 1)]
Since rule for the dilation of a point (x, y) by a factor of k is,
B(x, y) → B'(kx, ky)
By comparing the coordinates k = 2 is the scale factor by which the point B has been dilated about the origin.
Therefore, other vertices of the quadrilateral will be,
A(-2, 3) → A'(-4, 6)
C(1, -1) → C'(2, -2)
D(-3, -2) → D'(-6, -4)
Answer:
3 miles
Step-by-step explanation:
5% of one inch = 0.05 inches
0.5/30 = 0.05/x
0.5x = 1.5
x = 3
Notice how you can also simply divide 30 by 10 in this case? :)
Answer:
50 Meters!
Step-by-step explanation:
Radius is always half of the diameter. Therefore, dividing 100 by 2 should get you your answer of 50 meters. Always remember the units!
There would be 6 shapes, and it would depend on what those shapes are since you wouldn't know the measurements.