A rectangular frame has a diagonal with a length of 20 inches and a longer side with a length of 15 inches Which of the following is closest to the length of its shorter side?
(1) 9.7 inches
(3) 13.2 inches
(2) 11.9 inches
(4) 14.8 inches

(3)13.2

Step-by-step explanation:

c²=a²+b²

20²=15²+b²

20²-15²=b²

400-225=b²

175=b²

b=√175

b=13.2inches

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

my guess would be b and d, but i didn’t actually get out the pen and paper. lol