SET of 3! Please help

1. 24/40, 32/40, 24/32 (This is in order from top to bottom)

2. 21.1

3. 4.1

Step-by-step explanation:

1. Here, we only have to focus on Angle X.

Let's label in the sides:

Opposite = YZ = 24

Adjacent = XY = 32

Hypotenuse = XZ = 40

SOHCAHTOA simply means:  You can memorise this through the acrostic poem of - Slap On Head Causes A Headache Take One Aspirin, but I remember it by Suck A Toe because that's what it sounds like.

Sin(x) = Opposite/Hypotenuse

Cos(x) = Adjacent/Hypotenuse

Tan(x) = Opposite/Adjacent

Sin(X) = 24/40

Cos(X) = 32/40

Tan(X) = 24/32

The question only asks to give the ratios by using / for a fraction, so we don't simplify it.

2. We are given the angle of 64°, the opposite length 19 and we have to work out x, which is the hypotenuse. We can use the sin function as we have our opposite length and we have to work out the hypotenuse.

Sin(64) = 19/x

xSin(64) = 19

x = 19/Sin(64)

x = 21.13943687

x = 21.1

3. We are given the angle of 70°, the hypotenuse 12 and we have to work out x, which is the adjacent side. We can use the cos function as we have to work out the adjacent side and we have our hypotenuse given to us.

Cos(70) = x/12

12Cos(70) = x  All we have to do here is multiply by 12!

x = 4.10424172

x = 4.1

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.