Answer:


Step-by-step explanation:
Please consider the attached graph of circle.
We have been given that circle H has a radius of 3 centimeters. The length of minor arc RT is
. We are asked to find the measure of angle RST.
We will use arc length formula to find central angle.
, where theta is central angle in radians.
Upon substituting our given values in arc length formula, we will get:





We know that the measure of inscribed angle is half the measure of central angle.



The measure of angle RST is in radians, we will convert it in degrees as:


Therefore, measure of angle is
in radians or 20 degrees.
Answer:
.42 per pound
Step-by-step explanation:
Answer:
25.4, 28.6
Step-by-step explanation:
Given parameters
sample size, n = 24
sample mean, X = 27
population standard deviation, s = 3
critical value, Zα/2, where α = 0.01
99% confidence Interval, CI, is given as follows
CI = X ± Zα/2 × (s/√n)
Zα/2 = Z0.01/2 = Z0.005 = 2.576
CI = 27 ± 2.576 × (3/√24)
= (25.42 ,28.57)
Step-by-step explanation:
always try to bring fractions you need to compare to the same denominator (bottom number).
we have 9/10 of the pizza left.
then 4/5 if the pizza are eaten.
how to compare 9/10 with 4/5 ?
by bringing 4/5 also to a fraction of 10ths.
what do I need to multiply 5 with to get 10 ?
right, 2.
since we don't want to change the overall value of the original fraction, we need to multiply both levels (numerator and denominator) by that same factor :
4/5 × 2/2 = 8/10
aha !
that we can compare with 9/10.
so, when Lucas ate 4/5 (= 8/10) of the pizza, when there was originally 9/10 left, then we have 1/10 of the pizza left.
Answer:
independent variable = number of laps;
dependent variable = number of dollars
Step-by-step explanation:
If we were to put this information into a slope-intercept form equation, the equation would be: y = 5x (dollars raised = 5 dollars per lap walked). In this case, we are going to use the variables l and d instead of x and y, respectively. The equation instead of being y = 5x, it is going to be d = 5l. In the slope-intercept form X will always be the independent variable and y the dependent variable, because the number we get for Y totally depends on what you plugged in for X. In this equation, l is the independent variable (the number of laps she walks) and d is the dependent variable (number of dollars).