Right triangle
hope this helped
Answer:
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
Answer:
4. 988 people
5. a. 7 quarters
b. 6 quarters 2 dimes 1 nickel
c. 5 quarters 5 dimes
d. 4 quarters 7 dimes 1 nickel
1. $65.65, $5.05
2. $7.70, $15.40
3. a. 7 quarters
b. 6 quarters 2 dimes 1 nickel
c. 5 quarters 5 dimes
d. 4 quarters 7 dimes 1 nickel
4. 31 bags
5. $30, $4.50
Step-by-step explanation:
4. take value times percent.
5. think coins
1. find difference then divide by number of days (13)
2. multiply by 1/3 then find difference.
3. think coins
4. find area then divide by 200
5. just break the problem down and go quarter by quarter.
Answer:
Yes, the equation defines y as a linear function of x. The slope intercept form of the provided function is .
Step-by-step explanation:
Consider the provided equation.
Linear equation or function is the function having two variables and the maximum value of the exponent is 1. In the provided equation we have two variables, where the maximum value of the exponent is 1.
Thus, the provided function is a linear function.
Now write it in the form of .
Consider the provided equation.
Subtract 4x from both the sides.
Now divided both the sides by 2.
Hence, the slope intercept form of the provided function is .