If you're trying to represent the measurement of angle z, then it'd be 2x degrees, since it's twice the measurement of angle y (x degrees)
Answer:
y=-1/2x-3 = slope-intercept
y+5=-1/2(x-4) = point-slope
Step-by-step explanation:
I used the slope and the point provided to get other points and eventually the y-intercept to complete the slope-intercept equation.
I plugged in the numbers provided to get the point-slope equation.
Answer:
See below ~
Step-by-step explanation:
<u>Things to Find</u>
- Volume of Toy
- Difference of Volumes in Cube and Toy
- Total Surface of Toy
<u>Volume of Toy</u>
- Volume of Hemisphere + Volume (Cone)
- 2/3πr³ + 1/3πr²h
- 1/3πr² (2r + h)
- 1/3 x 3.14 x 16 (8 + 4)
- 1/3 x 50.24 x 12
- 50.24 x 4
- <u>200.96 cm³</u>
<u></u>
<u>Volume of Circumscribing Cube</u>
- Edge length is same as diameter
- V = (8)³
- V = 512 cm³
<u>Difference in Volume</u>
- 512 - 200.96
- <u>311.04 cm³</u>
<u></u>
<u>Slant height of cone</u>
- l² = 4² + 4²
- l² = 32
- l = 4√2 cm = 5.6 cm
<u />
<u>Surface Area of Toy</u>
- CSA (hemisphere) + CSA (Cone)
- 2πr² + πrl
- πr (2r + l)
- 3.14 x 4 (8 + 5.6)
- 12.56 x 13.6
- <u>170.8 cm²</u>
Answer:
hello your question is incomplete attached below is the complete question
answer :
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Step-by-step explanation:
Formulating hypothesis that can be used to determine whether the population mean rate at 5 CCF of residential water discharged by U.S public utilities differs from $21.62
H0 : <em> u </em>= 21.62 ( Null hypothesis )
H1 : <em> u</em> = 21.62 ( alternative hypothesis )
Let's assume x= 10.03636........ (1)
Multiply each sides by 100. So,
100x = 1003.63636.......... (2)
Next step is to subtract the equation (1) and (2)
100x - x= 1003.63636- 10.03636
99x= 993.6
99x*10 = 993.6 (By multiplying each sides by 10 to get rid of decimal)
990x = 9936
990x/990 = 9936/990 ( Divide each sides by 990)
x= ( Divide both top and bottom to reduce)
x =
So, 10.03636...... can be represent as 552/55.