Answer:
(4, - 5 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (- y, x ) , thus
(- 5, - 4 ) → (4, - 5 )
Answer:
20 1/6 ft
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides:
2×(5 1/3 ft) + 2×(4 3/4 ft) = 10 2/3 ft + 8 6/4 ft
= 10 2/3 ft + 9 2/4 ft . . . . change 6/4 ft to 1 1/2 ft
= 10 8/12 ft + 9 6/12 ft = 19 14/12 ft . . . . . use common denominator of 1/12 ft
= 20 2/12 ft . . . . . . change 14/12 ft to 1 2/12 ft; next reduce that fraction
= 20 1/6 ft . . . . perimeter of Caleb's bathroom
Let x = number of students in each of the remaining rows
266 = (10 x 20) + (5 x 8) + 2x
266 - (10 x 20) - (5 x 8) = 2x
266 - 200 - 40 = 2x
26 = 2x
x = 26/2
x = 13
Answer:
S and U are centres of the respective circles.
a. Three radii of Circle S : SU , SR , ST
(Lines from the centre of the circle to its circumference)
b.Three radii of Circle U : US , UR , UT
(Lines from the centre of the circle to its circumference)
c.The radii of the two circles are equal to each other as they are congruent to each other.
Answer:
=36.0
Step-by-step explanation:
We use the sine rule to find the missing sides as follows;
Lets find the missing angle C by using the summation of interior angles in a triangle.
C=180-(44+48)
=88°
Then,
a/Sin A=c/Sin C
25/Sin 44=c/Sin 88
c=(25 Sin 88)/Sin 44
c=35.97
The side c=36.0 to the nearest tenth.