16. convert these temperature measurements. use the right equation °c = (°f - 32°)/1.8 or °f = (1.8)°c + 32°…

16. convert these temperature measurements. use the right equation °c = (°f - 32°)/1.8 or °f = (1.8)°c + 32° a. on a cold day it was 8°f = ______ °c b. ice melts at 0°c = ______ °f c. room temperature is 72°f = ______ °c d. a hot summer day, was 35°c = ______ °f
Answer
Explanation:
Step1: Convert 8°F to °C
Use the formula $^{\circ}C=(^{\circ}F - 32^{\circ})/1.8$. Substitute $^{\circ}F = 8$ into the formula: $(8 - 32)/1.8=-24/1.8=-\frac{40}{3}\approx - 13.33$.
Step2: Convert 0°C to °F
Use the formula $^{\circ}F=(1.8)^{\circ}C + 32^{\circ}$. Substitute $^{\circ}C = 0$ into the formula: $(1.8\times0)+32 = 32$.
Step3: Convert 72°F to °C
Use the formula $^{\circ}C=(^{\circ}F - 32^{\circ})/1.8$. Substitute $^{\circ}F = 72$ into the formula: $(72 - 32)/1.8 = 40/1.8=\frac{200}{9}\approx22.22$.
Step4: Convert 35°C to °F
Use the formula $^{\circ}F=(1.8)^{\circ}C + 32^{\circ}$. Substitute $^{\circ}C = 35$ into the formula: $(1.8\times35)+32=63 + 32=95$.
Answer:
a. $-13.33$ b. $32$ c. $22.22$ d. $95$