Answer:
<3 and <4 are supplementary
Step-by-step explanation:
<3 and <4 form a linear pair, so they are supplementary (=180 degrees)
We know that
If the scalar product of two vectors<span> is zero, both vectors are </span><span>orthogonal
</span><span>A. (-2,5)
</span>(-2,5)*(1,5)-------> -2*1+5*5=23-----------> <span>are not orthogonal
</span><span>B. (10,-2)
</span>(10,-2)*(1,5)-------> 10*1-2*5=0-----------> are orthogonal
<span>C. (-1,-5)
</span>(-1,-5)*(1,5)-------> -1*1-5*5=-26-----------> are not orthogonal
<span>D. (-5,1)
</span>(-5,1)*(1,5)-------> -5*1+1*5=0-----------> are orthogonal
the answer is
B. (10,-2) and D. (-5,1) are orthogonal to (1,5)
The inequality for the maximum number of bottles of juice she can buy
6.13+ 2.08b <20.00
Option B
Given
Melissa has $20 to buy bagels and juice for her class
Box of bagels : 6.13 including tax
Bottle of juice: 2.08 including tax
She will buy only one box of bagels that is for 6.13
Let 'b' be the number of bottles of juice she can buy
Total cost should be less than 20 dollars
6.13(one bagels) +2.08(bottles of juices)<20
So the inequality becomes
Learn more : brainly.com/question/1836165
The solution can be found where two lines intersect. The lines in the image do not intersect at an exact point, so we will need to estimate.
The x value is either 1 or -1 from your choices. You can see it is closer to -1 on the horizontal (x axis).
The y value is either 0 or -1 from your choices. You can see it is closer to 0 on the vertical (y axis).
The answer to your set of lines is approximately (-1,0).
#2:
Find the total surface area of the capped cylinder.
2 times the area of the base would be 2[pi*(3 cm)^2, or 18pi.
The circumference of the base is C = 2pi*r, which here is 6pi.
The area of the sides is C times height, or 6pi*(11 cm) = 66pi cm^2
Add this to the 18pi cm^2 previously found.
Total area of cylinder, including top and bottom, is 84 cm^2.
