I need help with these two questions please

1) Option (b) 32km

2) Option (c) 17

Step-by-step explanation:

According to Pythagoras Theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

1) Perpendicular=?

Base=24km

Hypotenuse=40km

40²=P²+24²

1600=P²+576

1600-576=P²

1024=P²

√1024=P

32=P

2) Perpendicular=15

Base=8

Hypotenuse=?

H²=15²+8²

H²=225+64

H²=289

H=√289

H=17

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%