Answer:
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 7 . If there were 10,725 total votes .
Step-by-step explanation:
You would use divison divided 6.1 by 60 seconds
Answer:
A 90
Step-by-step explanation:
multiple ways to prove this.
e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.
another way
imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.
the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.
that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).
the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.
We have 7 people which result ----> 7 * <u />2 = <u>14 legs</u>
Also, the table has <u>4 legs</u>
The number of the big cats is 7 *7 =49 (big cats)
For every big cat we have ---> 49 * 4= <u>196 legs</u>
For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)
The number of legs for small kittens is 343 * 4 = <u>1372 legs</u>
The number of legs is:
<u />
<u>14+4+196+1372= 1586 legs are in total</u>
Area of rectangular prism is given by:
A=2(wl+hl+lw)
where w=width h=height, l=length
checking for given options
1. 8 ft, by 4ft by 3ft
Area = 136 square feet
5. 3 feet by 5 feet by 7 feet
Area =142 square feet
so our first and last option matches the requirement of area less than 160 square feet.
