Answer:2.14.07
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have given:
-2x+y=4 ---------equation1
3x+4y=49 ---------equation 2
We will solve the 1st equation for y and substitute the value into the 2nd equation.
-2x+y=4 ---------equation1
Move the values to the R.H.S except y
y = 2x+4
Now substitute the value of y in 2nd equation:
3x+4y=49
3x+4(2x+4)=49
3x+8x+16=49
Combine the like terms:
3x+8x=49-16
11x=33
Now divide both the sides by 11
11x/11 = 33/11
x= 3
Now substitute the value of x in any of the above equations: We will substitute the value in equation 1:
-2x+y=4
-2(3)+y=4
-6+y=4
Combine the constants:
y=4+6
y = 10
Thus the solution set of (x,y) is {(3,10)}....
Volume of a pyramid is 1/3 base x height or 1/3 b h ( rest are in the Comments
Answer:
745.5
Step-by-step explanation:
To answer this question we need to find the perimeter and multiply it by three. To do that we can start by adding 85 yards plus 85 yards for both sides of the rectangle which equals 170. Then we need to add the circumference of the semicircles. To do that we can use the formula C = 2(3.14)r. for that we need to find the radius which is the diameter divided by 2 which is 12.5. Then we can plug that into the formula to get C=(2)(3.14)(12.5). After solving that we get 78.5 which we can add to 170 to get the perimeter which is 248.5 . However we are NOT done since jasmine is running 3 laps we need to multiply 248.5 by 3 to get an answer of 745.5.
Answer:
(b) reduce the variability of the poll result.
Step-by-step explanation:
when the sample size of an opinion poll is increased, more data will be gathered about the population, and when there is enough data present, The estimates that is made afterward base on the gathered data will be more accurate compare with when there is small sample size. It should be noted that when the sample size of an opinion poll is increased, it will reduce the variability of the poll result.