Answer:
theta = 9/19 radians or approximately .4737 radians
Step-by-step explanation:
The formula for arc length is
S = r theta
where theta is in radians. Lets put in what we know. The radius would be 1.9 since the ropes would be the radius.
.9 = 1.9 theta
Divide by 1.9 on each side.
.9/1.9 = theta
theta = 9/19 radians
or in decimal form it is approximately .4737 radians
12.38 in expanded form is write like:-
10 + 2 + .3 + .08 = 12.38
To
write a number in expanded form just means to write the number in a
layout and when you add it up it will become the number you needed to
write in expanded form.
So, 12.38 written in expanded form is:- 10 + 2 + .3 + 0.8
Hope i helped
Answer:
There are 18 women in the class
Step-by-step explanation:
First of all this is a ratio topic and to solve it one needs to know that ratios are fractions so to solve it we will find first the sum of the fractions which is 3+1 and =4. Fully recognising through the question that the fractions or relation of the women to the men in the classroom is in a 3:1 ratio, we should multiply the fraction with the total number of people in the class which bring forth the result as 18!
Since triangle ABC is isosceles, then angles 1 and 9 are congruent.
4x + 3 = 9x - 47
-5x = -50
x = 10
m<1 = 4x + 3 = 40 + 3 = 43
m<1 = m<9 = 43
Triangle DBE is equilateral, so it is also equiangular.
m< 4 = m<5 = m<6 =60
Angles 3 and 8 are supplementary to congruent angles that measure 60 deg, so 180 - 60 = 120, so
m<3 = m<8 = 120
For angles 2 and 7, use the sum of the measures of the angles of a triangle is 180 deg.
m<1 + m<2 + m<3 = 180
43 + m<2 + 120 = 180
m<2 + 163 = 180
m<2 = 17
m<2 = m<7 = 17
