Answer:
d.
Step-by-step explanation:
if x varies directly as y,
x = ky
8 = 12k
12k = 8
k = 8/ 12
k = 2/3,
x = 2/3 y
now substitute the value of any of the numbers of each pair, and check if it works:
for e.g, find x when y = 15
x = 2/3y
x = 2/3 × 15
x = 10
since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .
ii) x = 2/3y
x = 2/3 × 3, when y = 3
x = 2
hence, this is also a possible pair of x and y values.
iii) x = 2/3y
x = 2/3 × 9 when y = 9
x = 6
again, a possible pair of x and y values.
iv) x = 2/3y
x = 2/3 × 20 when y = 20
x = 40/3
here, when y = 20, x is not 15. it is 40/3.
thus, it can be determined that this is not a possible pair of x and y values.
please try to understand and have a great day!
Answer:
Length of arc AB = 1.57 yds
Step-by-step explanation:
Given:
Central angle (θ) = 30°
Radius (r) = 3 yds
Required:
Length of arc AB approximated to the nearest hundredths
Solution:
Length of arc = θ/360 * 2πr
Length of arc AB = 30/360*2*π*3
Length of arc AB = 1.57079633
Length of arc AB = 1.57 yds (nearest hundredths)
Answer:
C. -24
Step-by-step explanation:

Plug in values into the given equation

Answer:
<em>x </em>= 128°
Step-by-step explanation:
Its an isosceles triangle, so it has 2 two sides of equal length. and from here we can say that it has two angles that are the same, 26° and 26° we know that in a triangle there are 180° in total so we add up the two angles we know 26+26=52 and subtract it by 180 which equals 128°